%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ093^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:20:52 AM UTC 2026
% Result : Theorem 0.22s 0.30s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ093^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n010.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 13:22:04 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.30 % (2833862)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.30 % (2833872)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=237647059:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.30 % (2833879)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.30 % (2833879)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.30 % (2833873)lrs+10_16_si=on:nwc=1.5:random_seed=47106175:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.30 % (2833876)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2362481216:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.30 % (2833874)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2515741311:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.30 % (2833875)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2006472160:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.22/0.30 % (2833878)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1225850341:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.30 % (2833879)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2757070358:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.30 % (2833874)Instruction limit reached!
% 0.22/0.30 % (2833874)------------------------------
% 0.22/0.30 % (2833874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (2833874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (2833874)CaDiCaL version: 2.1.3
% 0.22/0.30 % (2833874)Termination reason: Instruction limit
% 0.22/0.30 % (2833874)Termination phase: Property scanning
% 0.22/0.30 % (2833874)Time elapsed: 0.002 s
% 0.22/0.30 % (2833874)Peak memory usage: 10 MB
% 0.22/0.30 % (2833874)Instructions burned: 4 (million)
% 0.22/0.30 % (2833873)Instruction limit reached!
% 0.22/0.30 % (2833873)------------------------------
% 0.22/0.30 % (2833873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (2833873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (2833873)CaDiCaL version: 2.1.3
% 0.22/0.30 % (2833873)Termination reason: Instruction limit
% 0.22/0.30 % (2833873)Termination phase: Saturation
% 0.22/0.30 % (2833873)Time elapsed: 0.008 s
% 0.22/0.30 % (2833873)Peak memory usage: 12 MB
% 0.22/0.30 % (2833873)Instructions burned: 19 (million)
% 0.22/0.30 % (2833876)Instruction limit reached!
% 0.22/0.30 % (2833876)------------------------------
% 0.22/0.30 % (2833876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (2833876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (2833876)CaDiCaL version: 2.1.3
% 0.22/0.30 % (2833876)Termination reason: Instruction limit
% 0.22/0.30 % (2833876)Termination phase: Saturation
% 0.22/0.30 % (2833876)Time elapsed: 0.011 s
% 0.22/0.30 % (2833876)Peak memory usage: 11 MB
% 0.22/0.30 % (2833876)Instructions burned: 26 (million)
% 0.22/0.30 % (2833872)Instruction limit reached!
% 0.22/0.30 % (2833872)------------------------------
% 0.22/0.30 % (2833872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (2833872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (2833872)CaDiCaL version: 2.1.3
% 0.22/0.30 % (2833872)Termination reason: Instruction limit
% 0.22/0.30 % (2833872)Termination phase: Saturation
% 0.22/0.30 % (2833872)Time elapsed: 0.021 s
% 0.22/0.30 % (2833872)Peak memory usage: 12 MB
% 0.22/0.30 % (2833872)Instructions burned: 90 (million)
% 0.22/0.30 % (2833879) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2833862-2833879"...
% 0.22/0.30 % (2833893)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4263840843:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.30 % (2833899)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1852080043:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.22/0.30 % (2833893)Instruction limit reached!
% 0.22/0.30 % (2833893)------------------------------
% 0.22/0.30 % (2833893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (2833893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (2833893)CaDiCaL version: 2.1.3
% 0.22/0.30 % (2833893)Termination reason: Instruction limit
% 0.22/0.30 % (2833893)Termination phase: Property scanning
% 0.22/0.30 % (2833893)Time elapsed: 0.002 s
% 0.22/0.30 % (2833893)Peak memory usage: 10 MB
% 0.22/0.30 % (2833893)Instructions burned: 4 (million)
% 0.22/0.30 % (2833899)Instruction limit reached!
% 0.22/0.30 % (2833899)------------------------------
% 0.22/0.30 % (2833899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (2833899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (2833899)CaDiCaL version: 2.1.3
% 0.22/0.30 % (2833899)Termination reason: Instruction limit
% 0.22/0.30 % (2833899)Termination phase: Saturation
% 0.22/0.30 % (2833899)Time elapsed: 0.003 s
% 0.22/0.30 % (2833899)Peak memory usage: 12 MB
% 0.22/0.30 % (2833899)Instructions burned: 15 (million)
% 0.22/0.30 % (2833898)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.30 % (2833895)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4213144408:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.22/0.30 % (2833898)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4257919276:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.22/0.30 % (2833895)Instruction limit reached!
% 0.22/0.30 % (2833895)------------------------------
% 0.22/0.30 % (2833895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (2833895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (2833895)CaDiCaL version: 2.1.3
% 0.22/0.30 % (2833895)Termination reason: Instruction limit
% 0.22/0.30 % (2833895)Termination phase: Saturation
% 0.22/0.30 % (2833895)Time elapsed: 0.003 s
% 0.22/0.30 % (2833895)Peak memory usage: 11 MB
% 0.22/0.30 % (2833895)Instructions burned: 7 (million)
% 0.22/0.30 % (2833879)...printing done.
% 0.22/0.30 % (2833879)Refutation found. Thanks to Tanya!
% 0.22/0.30 % SZS status Theorem for theBenchmark
% 0.22/0.30 % SZS output start Proof for theBenchmark
% 0.22/0.30 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.22/0.30 thf(func_def_1, type, sK0: ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i)).
% 0.22/0.30 thf(func_def_2, type, sF1: ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i)).
% 0.22/0.30 thf(func_def_3, type, sF2: ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i)).
% 0.22/0.30 thf(func_def_4, type, sF3: ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i)).
% 0.22/0.30 thf(func_def_5, type, sF4: ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i)).
% 0.22/0.30 thf(func_def_6, type, sF5: ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i)).
% 0.22/0.30 thf(func_def_7, type, sF6: ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i)).
% 0.22/0.30 thf(func_def_8, type, sF7: ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i)).
% 0.22/0.30 thf(func_def_9, type, sF8: ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i)).
% 0.22/0.30 thf(func_def_10, type, sF9: ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i)).
% 0.22/0.30 thf(func_def_11, type, sF10: ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i)).
% 0.22/0.30 thf(func_def_12, type, sF11: ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i)).
% 0.22/0.30 thf(func_def_13, type, sF12: ($i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i)).
% 0.22/0.30 thf(f1,conjecture,(
% 0.22/0.30 ? [X6 : $i,X3 : $i,X11 : $i,X0 : $i,X5 : $i,X2 : $i,X7 : $i,X4 : $i,X9 : $i,X10 : $i,X1 : $i,X8 : $i] : ! [X12 : ($i > $i)] : (((((((X12 @ X6)) = ((X12 @ X7))) & (((X12 @ X2)) != ((X12 @ X5))) & (((X12 @ X0)) = ((X12 @ X1)))) => (((X12 @ X8)) = ((X12 @ X11)))) & (((((X12 @ X4)) = ((X12 @ X7))) & (((X12 @ X10)) = ((X12 @ X11))) & (((X12 @ X8)) = ((X12 @ X9)))) => (((X12 @ X0)) != ((X12 @ X3)))) & (((((X12 @ X8)) = ((X12 @ X11))) & (((X12 @ X0)) = ((X12 @ X1))) & (((X12 @ X2)) = ((X12 @ X3)))) => (((X12 @ X4)) = ((X12 @ X7)))) & (((((X12 @ X0)) != ((X12 @ X3))) & (((X12 @ X6)) = ((X12 @ X7))) & (((X12 @ X4)) = ((X12 @ X5))) & (((X12 @ X5)) = ((X12 @ X6)))) => (((X12 @ X8)) != ((X12 @ X11)))) & (((((X12 @ X2)) = ((X12 @ X3))) & (((X12 @ X8)) != ((X12 @ X11))) & (((X12 @ X4)) = ((X12 @ X5))) & (((X12 @ X3)) = ((X12 @ X4)))) => (((X12 @ X6)) = ((X12 @ X9)))) & (((((X12 @ X0)) = ((X12 @ X1))) & (((X12 @ X2)) = ((X12 @ X5))) & (((X12 @ X10)) = ((X12 @ X11)))) => (((X12 @ X6)) != ((X12 @ X9))))) => ((((X12 @ X2)) != ((X12 @ X3))) | (((X12 @ X4)) != ((X12 @ X5))) | (((X12 @ X8)) != ((X12 @ X9))) | (((X12 @ X0)) != ((X12 @ X1))) | (((X12 @ X6)) != ((X12 @ X7))) | (((X12 @ X10)) != ((X12 @ X11)))))),
% 0.22/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSIXFRIENDS_PTH)).
% 0.22/0.30 thf(f2,negated_conjecture,(
% 0.22/0.30 ~ ? [X6 : $i,X3 : $i,X11 : $i,X0 : $i,X5 : $i,X2 : $i,X7 : $i,X4 : $i,X9 : $i,X10 : $i,X1 : $i,X8 : $i] : ! [X12 : ($i > $i)] : (((((((X12 @ X6)) = ((X12 @ X7))) & (((X12 @ X2)) != ((X12 @ X5))) & (((X12 @ X0)) = ((X12 @ X1)))) => (((X12 @ X8)) = ((X12 @ X11)))) & (((((X12 @ X4)) = ((X12 @ X7))) & (((X12 @ X10)) = ((X12 @ X11))) & (((X12 @ X8)) = ((X12 @ X9)))) => (((X12 @ X0)) != ((X12 @ X3)))) & (((((X12 @ X8)) = ((X12 @ X11))) & (((X12 @ X0)) = ((X12 @ X1))) & (((X12 @ X2)) = ((X12 @ X3)))) => (((X12 @ X4)) = ((X12 @ X7)))) & (((((X12 @ X0)) != ((X12 @ X3))) & (((X12 @ X6)) = ((X12 @ X7))) & (((X12 @ X4)) = ((X12 @ X5))) & (((X12 @ X5)) = ((X12 @ X6)))) => (((X12 @ X8)) != ((X12 @ X11)))) & (((((X12 @ X2)) = ((X12 @ X3))) & (((X12 @ X8)) != ((X12 @ X11))) & (((X12 @ X4)) = ((X12 @ X5))) & (((X12 @ X3)) = ((X12 @ X4)))) => (((X12 @ X6)) = ((X12 @ X9)))) & (((((X12 @ X0)) = ((X12 @ X1))) & (((X12 @ X2)) = ((X12 @ X5))) & (((X12 @ X10)) = ((X12 @ X11)))) => (((X12 @ X6)) != ((X12 @ X9))))) => ((((X12 @ X2)) != ((X12 @ X3))) | (((X12 @ X4)) != ((X12 @ X5))) | (((X12 @ X8)) != ((X12 @ X9))) | (((X12 @ X0)) != ((X12 @ X1))) | (((X12 @ X6)) != ((X12 @ X7))) | (((X12 @ X10)) != ((X12 @ X11)))))),
% 0.22/0.30 inference(negated_conjecture,[status(cth)],[f1])).
% 0.22/0.30 thf(f3,plain,(
% 0.22/0.30 ~ ? [X4 : $i,X5 : $i,X7 : $i,X9 : $i,X0 : $i,X2 : $i,X11 : $i,X10 : $i,X8 : $i,X1 : $i,X3 : $i,X6 : $i] : ! [X12 : ($i > $i)] : (((((((X12 @ X1)) != ((X12 @ X3))) & (((X12 @ X0)) = ((X12 @ X6))) & (((X12 @ X0)) = ((X12 @ X4))) & (((X12 @ X4)) = ((X12 @ X7)))) => (((X12 @ X2)) != ((X12 @ X11)))) & (((((X12 @ X4)) != ((X12 @ X5))) & (((X12 @ X0)) = ((X12 @ X6))) & (((X12 @ X3)) = ((X12 @ X10)))) => (((X12 @ X2)) = ((X12 @ X11)))) & (((((X12 @ X1)) = ((X12 @ X5))) & (((X12 @ X2)) != ((X12 @ X11))) & (((X12 @ X4)) = ((X12 @ X7))) & (((X12 @ X1)) = ((X12 @ X7)))) => (((X12 @ X0)) = ((X12 @ X8)))) & (((((X12 @ X3)) = ((X12 @ X10))) & (((X12 @ X2)) = ((X12 @ X9))) & (((X12 @ X4)) = ((X12 @ X5)))) => (((X12 @ X0)) != ((X12 @ X8)))) & (((((X12 @ X3)) = ((X12 @ X10))) & (((X12 @ X1)) = ((X12 @ X5))) & (((X12 @ X2)) = ((X12 @ X11)))) => (((X12 @ X7)) = ((X12 @ X6)))) & (((((X12 @ X2)) = ((X12 @ X9))) & (((X12 @ X7)) = ((X12 @ X6))) & (((X12 @ X8)) = ((X12 @ X11)))) => (((X12 @ X1)) != ((X12 @ X3))))) => ((((X12 @ X0)) != ((X12 @ X6))) | (((X12 @ X2)) != ((X12 @ X9))) | (((X12 @ X1)) != ((X12 @ X5))) | (((X12 @ X3)) != ((X12 @ X10))) | (((X12 @ X4)) != ((X12 @ X7))) | (((X12 @ X8)) != ((X12 @ X11)))))),
% 0.22/0.30 inference(rectify,[],[f2])).
% 0.22/0.30 thf(f4,plain,(
% 0.22/0.30 ! [X4 : $i,X5 : $i,X7 : $i,X9 : $i,X0 : $i,X2 : $i,X11 : $i,X10 : $i,X8 : $i,X1 : $i,X3 : $i,X6 : $i] : ? [X12 : ($i > $i)] : (((((X12 @ X0)) = ((X12 @ X6))) & (((X12 @ X2)) = ((X12 @ X9))) & (((X12 @ X1)) = ((X12 @ X5))) & (((X12 @ X3)) = ((X12 @ X10))) & (((X12 @ X4)) = ((X12 @ X7))) & (((X12 @ X8)) = ((X12 @ X11)))) & (((((X12 @ X2)) != ((X12 @ X11))) | ((((X12 @ X1)) = ((X12 @ X3))) | (((X12 @ X0)) != ((X12 @ X6))) | (((X12 @ X0)) != ((X12 @ X4))) | (((X12 @ X4)) != ((X12 @ X7))))) & ((((X12 @ X2)) = ((X12 @ X11))) | ((((X12 @ X4)) = ((X12 @ X5))) | (((X12 @ X0)) != ((X12 @ X6))) | (((X12 @ X3)) != ((X12 @ X10))))) & ((((X12 @ X0)) = ((X12 @ X8))) | ((((X12 @ X1)) != ((X12 @ X5))) | (((X12 @ X2)) = ((X12 @ X11))) | (((X12 @ X4)) != ((X12 @ X7))) | (((X12 @ X1)) != ((X12 @ X7))))) & ((((X12 @ X0)) != ((X12 @ X8))) | ((((X12 @ X3)) != ((X12 @ X10))) | (((X12 @ X2)) != ((X12 @ X9))) | (((X12 @ X4)) != ((X12 @ X5))))) & ((((X12 @ X7)) = ((X12 @ X6))) | ((((X12 @ X3)) != ((X12 @ X10))) | (((X12 @ X1)) != ((X12 @ X5))) | (((X12 @ X2)) != ((X12 @ X11))))) & ((((X12 @ X1)) != ((X12 @ X3))) | ((((X12 @ X2)) != ((X12 @ X9))) | (((X12 @ X7)) != ((X12 @ X6))) | (((X12 @ X8)) != ((X12 @ X11)))))))),
% 0.22/0.30 inference(ennf_transformation,[],[f3])).
% 0.22/0.30 thf(f5,plain,(
% 0.22/0.30 ! [X0 : $i,X5 : $i,X7 : $i,X6 : $i,X4 : $i,X2 : $i,X8 : $i,X1 : $i,X10 : $i,X11 : $i,X3 : $i,X9 : $i] : ? [X12 : ($i > $i)] : (((((X12 @ X0)) != ((X12 @ X6))) | (((X12 @ X2)) != ((X12 @ X11))) | (((X12 @ X0)) != ((X12 @ X4))) | (((X12 @ X4)) != ((X12 @ X7))) | (((X12 @ X1)) = ((X12 @ X3)))) & (((X12 @ X2)) = ((X12 @ X9))) & ((((X12 @ X2)) = ((X12 @ X11))) | (((X12 @ X0)) = ((X12 @ X8))) | (((X12 @ X4)) != ((X12 @ X7))) | (((X12 @ X1)) != ((X12 @ X7))) | (((X12 @ X1)) != ((X12 @ X5)))) & (((X12 @ X0)) = ((X12 @ X6))) & ((((X12 @ X4)) = ((X12 @ X5))) | (((X12 @ X2)) = ((X12 @ X11))) | (((X12 @ X3)) != ((X12 @ X10))) | (((X12 @ X0)) != ((X12 @ X6)))) & ((((X12 @ X7)) != ((X12 @ X6))) | (((X12 @ X8)) != ((X12 @ X11))) | (((X12 @ X2)) != ((X12 @ X9))) | (((X12 @ X1)) != ((X12 @ X3)))) & ((((X12 @ X7)) = ((X12 @ X6))) | (((X12 @ X2)) != ((X12 @ X11))) | (((X12 @ X1)) != ((X12 @ X5))) | (((X12 @ X3)) != ((X12 @ X10)))) & (((X12 @ X4)) = ((X12 @ X7))) & (((X12 @ X3)) = ((X12 @ X10))) & ((((X12 @ X0)) != ((X12 @ X8))) | (((X12 @ X2)) != ((X12 @ X9))) | (((X12 @ X4)) != ((X12 @ X5))) | (((X12 @ X3)) != ((X12 @ X10)))) & (((X12 @ X8)) = ((X12 @ X11))) & (((X12 @ X1)) = ((X12 @ X5))))),
% 0.22/0.30 inference(flattening,[],[f4])).
% 0.22/0.30 thf(f6,plain,(
% 0.22/0.30 ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i,X6 : $i,X7 : $i,X8 : $i,X9 : $i,X10 : $i,X11 : $i] : ? [X12 : ($i > $i)] : (((((X12 @ X0)) != ((X12 @ X3))) | (((X12 @ X5)) != ((X12 @ X9))) | (((X12 @ X0)) != ((X12 @ X4))) | (((X12 @ X2)) != ((X12 @ X4))) | (((X12 @ X7)) = ((X12 @ X10)))) & (((X12 @ X11)) = ((X12 @ X5))) & ((((X12 @ X5)) = ((X12 @ X9))) | (((X12 @ X0)) = ((X12 @ X6))) | (((X12 @ X2)) != ((X12 @ X4))) | (((X12 @ X2)) != ((X12 @ X7))) | (((X12 @ X1)) != ((X12 @ X7)))) & (((X12 @ X0)) = ((X12 @ X3))) & ((((X12 @ X1)) = ((X12 @ X4))) | (((X12 @ X5)) = ((X12 @ X9))) | (((X12 @ X8)) != ((X12 @ X10))) | (((X12 @ X0)) != ((X12 @ X3)))) & ((((X12 @ X2)) != ((X12 @ X3))) | (((X12 @ X6)) != ((X12 @ X9))) | (((X12 @ X11)) != ((X12 @ X5))) | (((X12 @ X7)) != ((X12 @ X10)))) & ((((X12 @ X2)) = ((X12 @ X3))) | (((X12 @ X5)) != ((X12 @ X9))) | (((X12 @ X1)) != ((X12 @ X7))) | (((X12 @ X8)) != ((X12 @ X10)))) & (((X12 @ X2)) = ((X12 @ X4))) & (((X12 @ X8)) = ((X12 @ X10))) & ((((X12 @ X0)) != ((X12 @ X6))) | (((X12 @ X11)) != ((X12 @ X5))) | (((X12 @ X1)) != ((X12 @ X4))) | (((X12 @ X8)) != ((X12 @ X10)))) & (((X12 @ X6)) = ((X12 @ X9))) & (((X12 @ X1)) = ((X12 @ X7))))),
% 0.22/0.30 inference(rectify,[],[f5])).
% 0.22/0.30 thf(f7,plain,(
% 0.22/0.30 ! [X0 : $i,X1 : $i,X2 : $i,X3 : $i,X4 : $i,X5 : $i,X6 : $i,X7 : $i,X8 : $i,X9 : $i,X10 : $i,X11 : $i] : (((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) & ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3))) & ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)))) & ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)))) & ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10))) & ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6))) & (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7))))),
% 0.22/0.30 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X12,sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0)],[f6])).
% 0.22/0.30 thf(f8,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)))) )),
% 0.22/0.30 inference(cnf_transformation,[],[f7])).
% 0.22/0.30 thf(f9,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6)))) )),
% 0.22/0.30 inference(cnf_transformation,[],[f7])).
% 0.22/0.30 thf(f10,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)))) )),
% 0.22/0.30 inference(cnf_transformation,[],[f7])).
% 0.22/0.30 thf(f11,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)))) )),
% 0.22/0.30 inference(cnf_transformation,[],[f7])).
% 0.22/0.30 thf(f12,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2)))) )),
% 0.22/0.30 inference(cnf_transformation,[],[f7])).
% 0.22/0.30 thf(f13,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)))) )),
% 0.22/0.30 inference(cnf_transformation,[],[f7])).
% 0.22/0.30 thf(f14,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)))) )),
% 0.22/0.30 inference(cnf_transformation,[],[f7])).
% 0.22/0.30 thf(f15,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)))) )),
% 0.22/0.30 inference(cnf_transformation,[],[f7])).
% 0.22/0.30 thf(f16,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)))) )),
% 0.22/0.30 inference(cnf_transformation,[],[f7])).
% 0.22/0.30 thf(f17,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)))) )),
% 0.22/0.30 inference(cnf_transformation,[],[f7])).
% 0.22/0.30 thf(f18,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5)))) )),
% 0.22/0.30 inference(cnf_transformation,[],[f7])).
% 0.22/0.30 thf(f19,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4)) != ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2))) | (((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)))) )),
% 0.22/0.30 inference(cnf_transformation,[],[f7])).
% 0.22/0.30 thf(f20,definition,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)))) )),
% 0.22/0.30 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
% 0.22/0.30 thf(f21,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X0)) = ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(reorient_equations,[],[f20])).
% 0.22/0.30 thf(f22,definition,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X3)))) )),
% 0.22/0.30 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
% 0.22/0.30 thf(f23,definition,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)))) )),
% 0.22/0.30 introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
% 0.22/0.30 thf(f24,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X9)) = ((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(reorient_equations,[],[f23])).
% 0.22/0.30 thf(f25,definition,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5)))) )),
% 0.22/0.30 introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
% 0.22/0.30 thf(f26,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X5)) = ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(reorient_equations,[],[f25])).
% 0.22/0.30 thf(f27,definition,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4)))) )),
% 0.22/0.30 introduced(definition,[new_symbols(definition,[sF5])],[function_definition])).
% 0.22/0.30 thf(f28,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X4)) = ((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(reorient_equations,[],[f27])).
% 0.22/0.30 thf(f29,definition,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2)))) )),
% 0.22/0.30 introduced(definition,[new_symbols(definition,[sF6])],[function_definition])).
% 0.22/0.30 thf(f30,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X2)) = ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(reorient_equations,[],[f29])).
% 0.22/0.30 thf(f31,definition,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)))) )),
% 0.22/0.30 introduced(definition,[new_symbols(definition,[sF7])],[function_definition])).
% 0.22/0.30 thf(f32,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X10)) = ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(reorient_equations,[],[f31])).
% 0.22/0.30 thf(f33,definition,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X7)))) )),
% 0.22/0.30 introduced(definition,[new_symbols(definition,[sF8])],[function_definition])).
% 0.22/0.30 thf(f34,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(definition_folding,[],[f19,f33,f32,f30,f28,f21,f28,f26,f24,f22,f21])).
% 0.22/0.30 thf(f35,definition,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF9 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X11)))) )),
% 0.22/0.30 introduced(definition,[new_symbols(definition,[sF9])],[function_definition])).
% 0.22/0.30 thf(f36,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF9 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(definition_folding,[],[f18,f26,f35])).
% 0.22/0.30 thf(f37,definition,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X6)))) )),
% 0.22/0.30 introduced(definition,[new_symbols(definition,[sF10])],[function_definition])).
% 0.22/0.30 thf(f38,definition,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)))) )),
% 0.22/0.30 introduced(definition,[new_symbols(definition,[sF11])],[function_definition])).
% 0.22/0.30 thf(f39,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1)) = ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(reorient_equations,[],[f38])).
% 0.22/0.30 thf(f40,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(definition_folding,[],[f17,f33,f39,f33,f30,f30,f28,f37,f21,f26,f24])).
% 0.22/0.30 thf(f41,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(definition_folding,[],[f16,f22,f21])).
% 0.22/0.30 thf(f42,definition,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF12 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sK0 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X8)))) )),
% 0.22/0.30 introduced(definition,[new_symbols(definition,[sF12])],[function_definition])).
% 0.22/0.30 thf(f43,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF12 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(definition_folding,[],[f15,f22,f21,f32,f42,f26,f24,f28,f39])).
% 0.22/0.30 thf(f44,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF9 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(definition_folding,[],[f14,f33,f32,f26,f35,f37,f24,f22,f30])).
% 0.22/0.30 thf(f45,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF12 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(definition_folding,[],[f13,f32,f42,f33,f39,f26,f24,f22,f30])).
% 0.22/0.30 thf(f46,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(definition_folding,[],[f12,f30,f28])).
% 0.22/0.30 thf(f47,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF12 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(definition_folding,[],[f11,f32,f42])).
% 0.22/0.30 thf(f48,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF9 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF12 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(definition_folding,[],[f10,f32,f42,f28,f39,f26,f35,f37,f21])).
% 0.22/0.30 thf(f49,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(definition_folding,[],[f9,f37,f24])).
% 0.22/0.30 thf(f50,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(definition_folding,[],[f8,f33,f39])).
% 0.22/0.30 thf(f51,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f43,f47])).
% 0.22/0.30 thf(f52,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f51,f41])).
% 0.22/0.30 thf(f53,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_demodulation,[],[f52,f49])).
% 0.22/0.30 thf(f54,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_demodulation,[],[f53,f46])).
% 0.22/0.30 thf(f55,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f44,f36])).
% 0.22/0.30 thf(f56,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f55,f49])).
% 0.22/0.30 thf(f57,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_demodulation,[],[f56,f41])).
% 0.22/0.30 thf(f58,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_demodulation,[],[f57,f50])).
% 0.22/0.30 thf(f59,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF12 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f45,f50])).
% 0.22/0.30 thf(f60,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f59,f47])).
% 0.22/0.30 thf(f61,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_demodulation,[],[f60,f49])).
% 0.22/0.30 thf(f62,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_demodulation,[],[f61,f41])).
% 0.22/0.30 thf(f63,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF12 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f48,f36])).
% 0.22/0.30 thf(f64,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f63,f47])).
% 0.22/0.30 thf(f65,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_demodulation,[],[f64,f46])).
% 0.22/0.30 thf(f67,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF2 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f34,f46])).
% 0.22/0.30 thf(f68,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f67,f41])).
% 0.22/0.30 thf(f69,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_demodulation,[],[f68,f50])).
% 0.22/0.30 thf(f70,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF7 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_demodulation,[],[f69,f46])).
% 0.22/0.30 thf(f71,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f70,f58])).
% 0.22/0.30 thf(f72,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_demodulation,[],[f71,f49])).
% 0.22/0.30 thf(f73,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f72,f62])).
% 0.22/0.30 thf(f74,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(constrained_superposition,[],[f73,f54])).
% 0.22/0.30 thf(f75,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(trivial_inequality_removal,[],[f74])).
% 0.22/0.30 thf(f77,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF5 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f40,f50])).
% 0.22/0.30 thf(f78,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF3 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f77,f46])).
% 0.22/0.30 thf(f79,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF4 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_demodulation,[],[f78,f49])).
% 0.22/0.30 thf(f80,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF8 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f79,f73])).
% 0.22/0.30 thf(f81,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_demodulation,[],[f80,f50])).
% 0.22/0.30 thf(f82,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) = ((sF1 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f81,f75])).
% 0.22/0.30 thf(f84,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11))) | (((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF10 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(constrained_superposition,[],[f65,f82])).
% 0.22/0.30 thf(f86,plain,(
% 0.22/0.30 ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((sF6 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)) != ((sF11 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11)))) )),
% 0.22/0.30 inference(trivial_inequality_removal,[],[f84])).
% 0.22/0.30 thf(f87,plain,(
% 0.22/0.30 $false),
% 0.22/0.30 inference(forward_subsumption_resolution,[],[f86,f75])).
% 0.22/0.30 % SZS output end Proof for theBenchmark
% 0.22/0.30 % (2833879)------------------------------
% 0.22/0.30 % (2833879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30 % (2833879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30 % (2833879)CaDiCaL version: 2.1.3
% 0.22/0.30 % (2833879)Termination reason: Refutation
% 0.22/0.30 % (2833879)Time elapsed: 0.030 s
% 0.22/0.30 % (2833879)Peak memory usage: 12 MB
% 0.22/0.30 % (2833879)Instructions burned: 74 (million)
% 0.22/0.30 % (2833862)Success in time 0.054 s
% 0.22/0.30 % Vampire exiting
%------------------------------------------------------------------------------