%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV127^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:37:51 AM UTC 2026
% Result : Theorem 0.23s 0.32s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV127^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n008.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 15:13:09 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.32 % (3284284)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.32 % (3284292)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3616647767:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.32 % (3284292)Instruction limit reached!
% 0.23/0.32 % (3284292)------------------------------
% 0.23/0.32 % (3284292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (3284292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (3284292)CaDiCaL version: 2.1.3
% 0.23/0.32 % (3284292)Termination reason: Instruction limit
% 0.23/0.32 % (3284292)Termination phase: Saturation
% 0.23/0.32 % (3284292)Time elapsed: 0.002 s
% 0.23/0.32 % (3284292)Peak memory usage: 12 MB
% 0.23/0.32 % (3284292)Instructions burned: 6 (million)
% 0.23/0.32 % (3284293)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=906828443: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)
% 0.23/0.32 % (3284291)lrs+10_16_si=on:nwc=1.5:random_seed=3732725871:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.32 % (3284294)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2735701609:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.32 % (3284298)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3659999730:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.23/0.32 % (3284298)Instruction limit reached!
% 0.23/0.32 % (3284298)------------------------------
% 0.23/0.32 % (3284298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (3284298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (3284298)CaDiCaL version: 2.1.3
% 0.23/0.32 % (3284298)Termination reason: Instruction limit
% 0.23/0.32 % (3284298)Termination phase: Saturation
% 0.23/0.32 % (3284298)Time elapsed: 0.001 s
% 0.23/0.32 % (3284298)Peak memory usage: 12 MB
% 0.23/0.32 % (3284298)Instructions burned: 2 (million)
% 0.23/0.32 % (3284290)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3614839523:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.32 % (3284291)Instruction limit reached!
% 0.23/0.32 % (3284291)------------------------------
% 0.23/0.32 % (3284291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (3284291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (3284291)CaDiCaL version: 2.1.3
% 0.23/0.32 % (3284291)Termination reason: Instruction limit
% 0.23/0.32 % (3284291)Termination phase: Saturation
% 0.23/0.32 % (3284291)Time elapsed: 0.011 s
% 0.23/0.32 % (3284291)Peak memory usage: 12 MB
% 0.23/0.32 % (3284291)Instructions burned: 18 (million)
% 0.23/0.32 % (3284295)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3248036156:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.32 % (3284296)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.32 % (3284296)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
% 0.23/0.32 % (3284294)Instruction limit reached!
% 0.23/0.32 % (3284294)------------------------------
% 0.23/0.32 % (3284294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (3284294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (3284294)CaDiCaL version: 2.1.3
% 0.23/0.32 % (3284294)Termination reason: Instruction limit
% 0.23/0.32 % (3284294)Termination phase: Saturation
% 0.23/0.32 % (3284294)Time elapsed: 0.013 s
% 0.23/0.32 % (3284294)Peak memory usage: 12 MB
% 0.23/0.32 % (3284294)Instructions burned: 24 (million)
% 0.23/0.32 % (3284303)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=966180743:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.23/0.32 % (3284296)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=1024179863:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.32 % (3284303)Instruction limit reached!
% 0.23/0.32 % (3284303)------------------------------
% 0.23/0.32 % (3284303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (3284303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (3284303)CaDiCaL version: 2.1.3
% 0.23/0.32 % (3284303)Termination reason: Instruction limit
% 0.23/0.32 % (3284303)Termination phase: Saturation
% 0.23/0.32 % (3284303)Time elapsed: 0.002 s
% 0.23/0.32 % (3284303)Peak memory usage: 12 MB
% 0.23/0.32 % (3284303)Instructions burned: 5 (million)
% 0.23/0.32 % (3284290) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3284284-3284290"...
% 0.23/0.32 % (3284290)...printing done.
% 0.23/0.32 % (3284290)Refutation found. Thanks to Tanya!
% 0.23/0.32 % SZS status Theorem for theBenchmark
% 0.23/0.32 % SZS output start Proof for theBenchmark
% 0.23/0.32 thf(type_def_5, type, a: $tType).
% 0.23/0.32 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.23/0.32 thf(func_def_3, type, sK0: a).
% 0.23/0.32 thf(func_def_4, type, sK1: (a > a > $o)).
% 0.23/0.32 thf(func_def_5, type, sK2: ((a > a > $o) > $o)).
% 0.23/0.32 thf(func_def_6, type, sK3: a).
% 0.23/0.32 thf(func_def_7, type, sK4: (a > a > $o)).
% 0.23/0.32 thf(func_def_8, type, sK5: ((a > a > $o) > a)).
% 0.23/0.32 thf(func_def_9, type, sK6: ((a > a > $o) > a)).
% 0.23/0.32 thf(func_def_10, type, sK7: ((a > a > $o) > a)).
% 0.23/0.32 thf(func_def_11, type, sK8: ((a > a > $o) > a)).
% 0.23/0.32 thf(func_def_12, type, sK9: ((a > a > $o) > a)).
% 0.23/0.32 thf(func_def_13, type, sK10: ((a > a > $o) > a)).
% 0.23/0.32 thf(func_def_14, type, sK11: (a > a > $o)).
% 0.23/0.32 thf(func_def_15, type, vNOT: ($o > $o)).
% 0.23/0.32 thf(func_def_16, type, db0: !>[X0: $tType]:(X0)).
% 0.23/0.32 thf(func_def_17, type, db1: !>[X0: $tType]:(X0)).
% 0.23/0.32 thf(func_def_18, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.23/0.32 thf(func_def_19, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.23/0.32 thf(f1,conjecture,(
% 0.23/0.32 ! [X3 : a,X2 : (a > a > $o),X4 : a,X0 : ((a > a > $o) > $o),X1 : (a > a > $o)] : (! [X5 : (a > a > $o)] : (((X0 @ X5) & ! [X6 : a,X7 : a] : ((! [X8 : (a > a > $o)] : (((X0 @ X8) & ! [X10 : a,X9 : a] : ((X1 @ X9 @ X10) => (X8 @ X9 @ X10))) => (X8 @ X6 @ X7)) | ! [X8 : (a > a > $o)] : ((! [X9 : a,X10 : a] : ((X2 @ X9 @ X10) => (X8 @ X9 @ X10)) & (X0 @ X8)) => (X8 @ X6 @ X7))) => (X5 @ X6 @ X7))) => (X5 @ X3 @ X4)) => ! [X5 : (a > a > $o)] : ((! [X7 : a,X6 : a] : (((X1 @ X6 @ X7) | (X2 @ X6 @ X7)) => (X5 @ X6 @ X7)) & (X0 @ X5)) => (X5 @ X3 @ X4)))),
% 0.23/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM252A_pme)).
% 0.23/0.32 thf(f2,negated_conjecture,(
% 0.23/0.32 ~ ! [X3 : a,X2 : (a > a > $o),X4 : a,X0 : ((a > a > $o) > $o),X1 : (a > a > $o)] : (! [X5 : (a > a > $o)] : (((X0 @ X5) & ! [X6 : a,X7 : a] : ((! [X8 : (a > a > $o)] : (((X0 @ X8) & ! [X10 : a,X9 : a] : ((X1 @ X9 @ X10) => (X8 @ X9 @ X10))) => (X8 @ X6 @ X7)) | ! [X8 : (a > a > $o)] : ((! [X9 : a,X10 : a] : ((X2 @ X9 @ X10) => (X8 @ X9 @ X10)) & (X0 @ X8)) => (X8 @ X6 @ X7))) => (X5 @ X6 @ X7))) => (X5 @ X3 @ X4)) => ! [X5 : (a > a > $o)] : ((! [X7 : a,X6 : a] : (((X1 @ X6 @ X7) | (X2 @ X6 @ X7)) => (X5 @ X6 @ X7)) & (X0 @ X5)) => (X5 @ X3 @ X4)))),
% 0.23/0.32 inference(negated_conjecture,[status(cth)],[f1])).
% 0.23/0.32 thf(f3,plain,(
% 0.23/0.32 ~ ! [X0 : a,X1 : (a > a > $o),X2 : a,X3 : ((a > a > $o) > $o),X4 : (a > a > $o)] : (! [X5 : (a > a > $o)] : (((X3 @ X5) & ! [X6 : a,X7 : a] : ((! [X8 : (a > a > $o)] : (((X3 @ X8) & ! [X9 : a,X10 : a] : ((X4 @ X10 @ X9) => (X8 @ X10 @ X9))) => (X8 @ X6 @ X7)) | ! [X11 : (a > a > $o)] : ((! [X12 : a,X13 : a] : ((X1 @ X12 @ X13) => (X11 @ X12 @ X13)) & (X3 @ X11)) => (X11 @ X6 @ X7))) => (X5 @ X6 @ X7))) => (X5 @ X0 @ X2)) => ! [X14 : (a > a > $o)] : ((! [X15 : a,X16 : a] : (((X4 @ X16 @ X15) | (X1 @ X16 @ X15)) => (X14 @ X16 @ X15)) & (X3 @ X14)) => (X14 @ X0 @ X2)))),
% 0.23/0.32 inference(rectify,[],[f2])).
% 0.23/0.32 thf(f4,plain,(
% 0.23/0.32 ~ ! [X4 : (a > a > $o),X1 : (a > a > $o),X2 : a,X0 : a,X3 : ((a > a > $o) > $o)] : (! [X5 : (a > a > $o)] : ((($true = ((X3 @ X5))) & ! [X6 : a,X7 : a] : ((! [X11 : (a > a > $o)] : ((! [X13 : a,X12 : a] : ((((X1 @ X12 @ X13)) = $true) => ($true = ((X11 @ X12 @ X13)))) & ($true = ((X3 @ X11)))) => (((X11 @ X6 @ X7)) = $true)) | ! [X8 : (a > a > $o)] : ((($true = ((X3 @ X8))) & ! [X9 : a,X10 : a] : (($true = ((X4 @ X10 @ X9))) => (((X8 @ X10 @ X9)) = $true))) => (((X8 @ X6 @ X7)) = $true))) => (((X5 @ X6 @ X7)) = $true))) => ($true = ((X5 @ X0 @ X2)))) => ! [X14 : (a > a > $o)] : ((($true = ((X3 @ X14))) & ! [X16 : a,X15 : a] : ((($true = ((X1 @ X16 @ X15))) | ($true = ((X4 @ X16 @ X15)))) => (((X14 @ X16 @ X15)) = $true))) => (((X14 @ X0 @ X2)) = $true)))),
% 0.23/0.32 inference(fool_elimination,[],[f3])).
% 0.23/0.32 thf(f5,plain,(
% 0.23/0.32 ? [X4 : (a > a > $o),X1 : (a > a > $o),X2 : a,X0 : a,X3 : ((a > a > $o) > $o)] : (? [X14 : (a > a > $o)] : ((((X14 @ X0 @ X2)) != $true) & (($true = ((X3 @ X14))) & ! [X16 : a,X15 : a] : ((((X14 @ X16 @ X15)) = $true) | (($true != ((X1 @ X16 @ X15))) & ($true != ((X4 @ X16 @ X15))))))) & ! [X5 : (a > a > $o)] : (($true = ((X5 @ X0 @ X2))) | (($true != ((X3 @ X5))) | ? [X6 : a,X7 : a] : ((((X5 @ X6 @ X7)) != $true) & (! [X11 : (a > a > $o)] : ((((X11 @ X6 @ X7)) = $true) | (? [X12 : a,X13 : a] : (($true != ((X11 @ X12 @ X13))) & (((X1 @ X12 @ X13)) = $true)) | ($true != ((X3 @ X11))))) | ! [X8 : (a > a > $o)] : ((((X8 @ X6 @ X7)) = $true) | (($true != ((X3 @ X8))) | ? [X9 : a,X10 : a] : ((((X8 @ X10 @ X9)) != $true) & ($true = ((X4 @ X10 @ X9)))))))))))),
% 0.23/0.32 inference(ennf_transformation,[],[f4])).
% 0.23/0.32 thf(f6,plain,(
% 0.23/0.32 ? [X2 : a,X4 : (a > a > $o),X3 : ((a > a > $o) > $o),X0 : a,X1 : (a > a > $o)] : (! [X5 : (a > a > $o)] : (($true = ((X5 @ X0 @ X2))) | ? [X7 : a,X6 : a] : ((((X5 @ X6 @ X7)) != $true) & (! [X8 : (a > a > $o)] : (($true != ((X3 @ X8))) | (((X8 @ X6 @ X7)) = $true) | ? [X9 : a,X10 : a] : ((((X8 @ X10 @ X9)) != $true) & ($true = ((X4 @ X10 @ X9))))) | ! [X11 : (a > a > $o)] : (? [X12 : a,X13 : a] : (($true != ((X11 @ X12 @ X13))) & (((X1 @ X12 @ X13)) = $true)) | (((X11 @ X6 @ X7)) = $true) | ($true != ((X3 @ X11)))))) | ($true != ((X3 @ X5)))) & ? [X14 : (a > a > $o)] : (($true = ((X3 @ X14))) & ! [X16 : a,X15 : a] : ((((X14 @ X16 @ X15)) = $true) | (($true != ((X1 @ X16 @ X15))) & ($true != ((X4 @ X16 @ X15))))) & (((X14 @ X0 @ X2)) != $true)))),
% 0.23/0.32 inference(flattening,[],[f5])).
% 0.23/0.32 thf(f7,plain,(
% 0.23/0.32 ? [X0 : a,X1 : (a > a > $o),X2 : ((a > a > $o) > $o),X3 : a,X4 : (a > a > $o)] : (! [X5 : (a > a > $o)] : ((((X5 @ X3 @ X0)) = $true) | ? [X6 : a,X7 : a] : ((((X5 @ X7 @ X6)) != $true) & (! [X8 : (a > a > $o)] : (($true != ((X2 @ X8))) | ($true = ((X8 @ X7 @ X6))) | ? [X9 : a,X10 : a] : ((((X8 @ X10 @ X9)) != $true) & ($true = ((X1 @ X10 @ X9))))) | ! [X11 : (a > a > $o)] : (? [X12 : a,X13 : a] : (($true != ((X11 @ X12 @ X13))) & ($true = ((X4 @ X12 @ X13)))) | (((X11 @ X7 @ X6)) = $true) | ($true != ((X2 @ X11)))))) | (((X2 @ X5)) != $true)) & ? [X14 : (a > a > $o)] : ((((X2 @ X14)) = $true) & ! [X15 : a,X16 : a] : ((((X14 @ X15 @ X16)) = $true) | ((((X4 @ X15 @ X16)) != $true) & (((X1 @ X15 @ X16)) != $true))) & (((X14 @ X3 @ X0)) != $true)))),
% 0.23/0.32 inference(rectify,[],[f6])).
% 0.23/0.32 thf(f8,plain,(
% 0.23/0.32 ! [X5 : (a > a > $o)] : ((((X5 @ sK3 @ sK0)) = $true) | ((((X5 @ (sK6 @ X5) @ (sK5 @ X5))) != $true) & (! [X8 : (a > a > $o)] : (($true != ((sK2 @ X8))) | (((X8 @ (sK6 @ X5) @ (sK5 @ X5))) = $true) | (($true != ((X8 @ (sK8 @ X8) @ (sK7 @ X8)))) & (((sK1 @ (sK8 @ X8) @ (sK7 @ X8))) = $true))) | ! [X11 : (a > a > $o)] : (((((X11 @ (sK9 @ X11) @ (sK10 @ X11))) != $true) & (((sK4 @ (sK9 @ X11) @ (sK10 @ X11))) = $true)) | ($true = ((X11 @ (sK6 @ X5) @ (sK5 @ X5)))) | (((sK2 @ X11)) != $true)))) | ($true != ((sK2 @ X5)))) & ((((sK2 @ sK11)) = $true) & ! [X15 : a,X16 : a] : ((((sK11 @ X15 @ X16)) = $true) | ((((sK4 @ X15 @ X16)) != $true) & ($true != ((sK1 @ X15 @ X16))))) & ($true != ((sK11 @ sK3 @ sK0))))),
% 0.23/0.32 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,vAPP,vAPP,vAPP,vAPP,vAPP,vAPP,sK11]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X13,sK10 @ X11),skolemize(X13,sK10 @ X11),skolemize(X13,sK10 @ X11),skolemize(X13,sK10 @ X11),skolemize(X13,sK10 @ X11),skolemize(X13,sK10 @ X11),skolemize(X14,sK11)],[f7])).
% 0.23/0.32 thf(f9,plain,(
% 0.23/0.32 ($true != ((sK11 @ sK3 @ sK0)))),
% 0.23/0.32 inference(cnf_transformation,[],[f8])).
% 0.23/0.32 thf(f10,plain,(
% 0.23/0.32 ( ! [X16 : a,X15 : a] : (($true != ((sK1 @ X15 @ X16))) | (((sK11 @ X15 @ X16)) = $true)) )),
% 0.23/0.32 inference(cnf_transformation,[],[f8])).
% 0.23/0.32 thf(f11,plain,(
% 0.23/0.32 ( ! [X16 : a,X15 : a] : ((((sK4 @ X15 @ X16)) != $true) | (((sK11 @ X15 @ X16)) = $true)) )),
% 0.23/0.32 inference(cnf_transformation,[],[f8])).
% 0.23/0.32 thf(f12,plain,(
% 0.23/0.32 (((sK2 @ sK11)) = $true)),
% 0.23/0.32 inference(cnf_transformation,[],[f8])).
% 0.23/0.32 thf(f13,plain,(
% 0.23/0.32 ( ! [X11 : (a > a > $o),X8 : (a > a > $o),X5 : (a > a > $o)] : (($true != ((sK2 @ X8))) | ($true = ((X11 @ (sK6 @ X5) @ (sK5 @ X5)))) | (((sK2 @ X11)) != $true) | ($true != ((sK2 @ X5))) | (((X8 @ (sK6 @ X5) @ (sK5 @ X5))) = $true) | (((X5 @ sK3 @ sK0)) = $true) | (((sK1 @ (sK8 @ X8) @ (sK7 @ X8))) = $true) | (((sK4 @ (sK9 @ X11) @ (sK10 @ X11))) = $true)) )),
% 0.23/0.32 inference(cnf_transformation,[],[f8])).
% 0.23/0.32 thf(f14,plain,(
% 0.23/0.32 ( ! [X11 : (a > a > $o),X8 : (a > a > $o),X5 : (a > a > $o)] : ((((X11 @ (sK9 @ X11) @ (sK10 @ X11))) != $true) | (((X5 @ sK3 @ sK0)) = $true) | ($true != ((sK2 @ X5))) | ($true = ((X11 @ (sK6 @ X5) @ (sK5 @ X5)))) | ($true != ((sK2 @ X8))) | (((sK1 @ (sK8 @ X8) @ (sK7 @ X8))) = $true) | (((X8 @ (sK6 @ X5) @ (sK5 @ X5))) = $true) | (((sK2 @ X11)) != $true)) )),
% 0.23/0.32 inference(cnf_transformation,[],[f8])).
% 0.23/0.32 thf(f15,plain,(
% 0.23/0.32 ( ! [X11 : (a > a > $o),X8 : (a > a > $o),X5 : (a > a > $o)] : (($true != ((X8 @ (sK8 @ X8) @ (sK7 @ X8)))) | ($true != ((sK2 @ X8))) | (((X8 @ (sK6 @ X5) @ (sK5 @ X5))) = $true) | (((X5 @ sK3 @ sK0)) = $true) | ($true != ((sK2 @ X5))) | (((sK4 @ (sK9 @ X11) @ (sK10 @ X11))) = $true) | ($true = ((X11 @ (sK6 @ X5) @ (sK5 @ X5)))) | (((sK2 @ X11)) != $true)) )),
% 0.23/0.32 inference(cnf_transformation,[],[f8])).
% 0.23/0.32 thf(f16,plain,(
% 0.23/0.32 ( ! [X11 : (a > a > $o),X8 : (a > a > $o),X5 : (a > a > $o)] : (($true != ((X8 @ (sK8 @ X8) @ (sK7 @ X8)))) | (((sK2 @ X11)) != $true) | (((X5 @ sK3 @ sK0)) = $true) | ($true != ((sK2 @ X5))) | ($true != ((sK2 @ X8))) | (((X11 @ (sK9 @ X11) @ (sK10 @ X11))) != $true) | ($true = ((X11 @ (sK6 @ X5) @ (sK5 @ X5)))) | (((X8 @ (sK6 @ X5) @ (sK5 @ X5))) = $true)) )),
% 0.23/0.32 inference(cnf_transformation,[],[f8])).
% 0.23/0.32 thf(f17,plain,(
% 0.23/0.32 ( ! [X5 : (a > a > $o)] : ((((X5 @ (sK6 @ X5) @ (sK5 @ X5))) != $true) | (((X5 @ sK3 @ sK0)) = $true) | ($true != ((sK2 @ X5)))) )),
% 0.23/0.32 inference(cnf_transformation,[],[f8])).
% 0.23/0.32 thf(f62,plain,(
% 0.23/0.32 ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : (($true = ((sK1 @ (sK8 @ sK11) @ (sK7 @ sK11)))) | ($true != ((sK2 @ X0))) | ($true = ((X1 @ sK3 @ sK0))) | ($true != ((sK2 @ X1))) | ($true = ((sK11 @ (sK6 @ X1) @ (sK5 @ X1)))) | (((X0 @ (sK6 @ X1) @ (sK5 @ X1))) = $true) | ($true != $true) | (((sK4 @ (sK9 @ X0) @ (sK10 @ X0))) = $true)) )),
% 0.23/0.32 inference(constrained_superposition,[],[f13,f12])).
% 0.23/0.32 thf(f63,plain,(
% 0.23/0.32 ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : (($true = ((X1 @ sK3 @ sK0))) | (((sK4 @ (sK9 @ X0) @ (sK10 @ X0))) = $true) | ($true = ((sK11 @ (sK6 @ X1) @ (sK5 @ X1)))) | (((X0 @ (sK6 @ X1) @ (sK5 @ X1))) = $true) | ($true != ((sK2 @ X0))) | ($true != ((sK2 @ X1))) | ($true = ((sK1 @ (sK8 @ sK11) @ (sK7 @ sK11))))) )),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f62])).
% 0.23/0.32 thf(f65,definition,(
% 0.23/0.32 spl12_6 <=> ($true = ((sK1 @ (sK8 @ sK11) @ (sK7 @ sK11))))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition])).
% 0.23/0.32 thf(f67,plain,(
% 0.23/0.32 ($true = ((sK1 @ (sK8 @ sK11) @ (sK7 @ sK11)))) | ~spl12_6),
% 0.23/0.32 inference(avatar_component_clause,[],[f65])).
% 0.23/0.32 thf(f69,definition,(
% 0.23/0.32 spl12_7 <=> ! [X0 : (a > a > $o),X1 : (a > a > $o)] : (($true = ((X1 @ sK3 @ sK0))) | ($true != ((sK2 @ X1))) | ($true != ((sK2 @ X0))) | (((X0 @ (sK6 @ X1) @ (sK5 @ X1))) = $true) | ($true = ((sK11 @ (sK6 @ X1) @ (sK5 @ X1)))) | (((sK4 @ (sK9 @ X0) @ (sK10 @ X0))) = $true))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition])).
% 0.23/0.32 thf(f70,plain,(
% 0.23/0.32 ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : (($true != ((sK2 @ X1))) | ($true != ((sK2 @ X0))) | ($true = ((X1 @ sK3 @ sK0))) | (((X0 @ (sK6 @ X1) @ (sK5 @ X1))) = $true) | (((sK4 @ (sK9 @ X0) @ (sK10 @ X0))) = $true) | ($true = ((sK11 @ (sK6 @ X1) @ (sK5 @ X1))))) ) | ~spl12_7),
% 0.23/0.32 inference(avatar_component_clause,[],[f69])).
% 0.23/0.32 thf(f71,plain,(
% 0.23/0.32 spl12_6 | spl12_7),
% 0.23/0.32 inference(avatar_split_clause,[],[f63,f69,f65])).
% 0.23/0.32 thf(f72,plain,(
% 0.23/0.32 (((sK11 @ (sK8 @ sK11) @ (sK7 @ sK11))) = $true) | ($true != $true) | ~spl12_6),
% 0.23/0.32 inference(constrained_superposition,[],[f10,f67])).
% 0.23/0.32 thf(f73,plain,(
% 0.23/0.32 (((sK11 @ (sK8 @ sK11) @ (sK7 @ sK11))) = $true) | ~spl12_6),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f72])).
% 0.23/0.32 thf(f108,plain,(
% 0.23/0.32 ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : ((((X0 @ sK3 @ sK0)) = $true) | ($true != ((sK2 @ X0))) | ($true != ((sK2 @ X1))) | (((X1 @ (sK6 @ X0) @ (sK5 @ X0))) = $true) | (((sK4 @ (sK9 @ X1) @ (sK10 @ X1))) = $true) | (((sK2 @ sK11)) != $true) | ($true != $true) | ($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0))))) ) | ~spl12_6),
% 0.23/0.32 inference(constrained_superposition,[],[f15,f73])).
% 0.23/0.32 thf(f113,plain,(
% 0.23/0.32 ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : ((((X0 @ sK3 @ sK0)) = $true) | (((sK2 @ sK11)) != $true) | ($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0)))) | (((sK4 @ (sK9 @ X1) @ (sK10 @ X1))) = $true) | (((X1 @ (sK6 @ X0) @ (sK5 @ X0))) = $true) | ($true != ((sK2 @ X0))) | ($true != ((sK2 @ X1)))) ) | ~spl12_6),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f108])).
% 0.23/0.32 thf(f124,plain,(
% 0.23/0.32 ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : ((((X0 @ sK3 @ sK0)) = $true) | (((X1 @ (sK6 @ X0) @ (sK5 @ X0))) = $true) | ($true != ((sK2 @ X0))) | (((sK4 @ (sK9 @ X1) @ (sK10 @ X1))) = $true) | ($true != ((sK2 @ X1))) | ($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0))))) ) | ~spl12_6),
% 0.23/0.32 inference(forward_subsumption_resolution,[],[f113,f12])).
% 0.23/0.32 thf(f125,plain,(
% 0.23/0.32 spl12_7 | ~spl12_6),
% 0.23/0.32 inference(avatar_split_clause,[],[f124,f65,f69])).
% 0.23/0.32 thf(f126,plain,(
% 0.23/0.32 ( ! [X0 : (a > a > $o)] : (($true != $true) | ($true = ((X0 @ (sK6 @ sK11) @ (sK5 @ sK11)))) | ($true != ((sK2 @ X0))) | ($true = ((sK11 @ (sK6 @ sK11) @ (sK5 @ sK11)))) | ($true = ((sK11 @ sK3 @ sK0))) | (((sK4 @ (sK9 @ X0) @ (sK10 @ X0))) = $true)) ) | ~spl12_7),
% 0.23/0.32 inference(constrained_superposition,[],[f70,f12])).
% 0.23/0.32 thf(f127,plain,(
% 0.23/0.32 ( ! [X0 : (a > a > $o)] : (($true != ((sK2 @ X0))) | (((sK4 @ (sK9 @ X0) @ (sK10 @ X0))) = $true) | ($true = ((X0 @ (sK6 @ sK11) @ (sK5 @ sK11)))) | ($true = ((sK11 @ sK3 @ sK0))) | ($true = ((sK11 @ (sK6 @ sK11) @ (sK5 @ sK11))))) ) | ~spl12_7),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f126])).
% 0.23/0.32 thf(f128,plain,(
% 0.23/0.32 ( ! [X0 : (a > a > $o)] : ((((sK4 @ (sK9 @ X0) @ (sK10 @ X0))) = $true) | ($true = ((X0 @ (sK6 @ sK11) @ (sK5 @ sK11)))) | ($true = ((sK11 @ (sK6 @ sK11) @ (sK5 @ sK11)))) | ($true != ((sK2 @ X0)))) ) | ~spl12_7),
% 0.23/0.32 inference(forward_subsumption_resolution,[],[f127,f9])).
% 0.23/0.32 thf(f130,definition,(
% 0.23/0.32 spl12_10 <=> ! [X0 : (a > a > $o)] : ((((sK4 @ (sK9 @ X0) @ (sK10 @ X0))) = $true) | ($true != ((sK2 @ X0))) | ($true = ((X0 @ (sK6 @ sK11) @ (sK5 @ sK11)))))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl12_10])],[avatar_definition])).
% 0.23/0.32 thf(f131,plain,(
% 0.23/0.32 ( ! [X0 : (a > a > $o)] : (($true != ((sK2 @ X0))) | ($true = ((X0 @ (sK6 @ sK11) @ (sK5 @ sK11)))) | (((sK4 @ (sK9 @ X0) @ (sK10 @ X0))) = $true)) ) | ~spl12_10),
% 0.23/0.32 inference(avatar_component_clause,[],[f130])).
% 0.23/0.32 thf(f133,definition,(
% 0.23/0.32 spl12_11 <=> ($true = ((sK11 @ (sK6 @ sK11) @ (sK5 @ sK11))))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl12_11])],[avatar_definition])).
% 0.23/0.32 thf(f134,plain,(
% 0.23/0.32 ($true != ((sK11 @ (sK6 @ sK11) @ (sK5 @ sK11)))) | spl12_11),
% 0.23/0.32 inference(avatar_component_clause,[],[f133])).
% 0.23/0.32 thf(f135,plain,(
% 0.23/0.32 ($true = ((sK11 @ (sK6 @ sK11) @ (sK5 @ sK11)))) | ~spl12_11),
% 0.23/0.32 inference(avatar_component_clause,[],[f133])).
% 0.23/0.32 thf(f136,plain,(
% 0.23/0.32 spl12_10 | spl12_11 | ~spl12_7),
% 0.23/0.32 inference(avatar_split_clause,[],[f128,f69,f133,f130])).
% 0.23/0.32 thf(f137,plain,(
% 0.23/0.32 ($true = ((sK11 @ (sK6 @ sK11) @ (sK5 @ sK11)))) | ($true = ((sK4 @ (sK9 @ sK11) @ (sK10 @ sK11)))) | ($true != $true) | ~spl12_10),
% 0.23/0.32 inference(constrained_superposition,[],[f131,f12])).
% 0.23/0.32 thf(f138,plain,(
% 0.23/0.32 ($true = ((sK4 @ (sK9 @ sK11) @ (sK10 @ sK11)))) | ($true = ((sK11 @ (sK6 @ sK11) @ (sK5 @ sK11)))) | ~spl12_10),
% 0.23/0.32 inference(trivial_inequality_removal,[],[f137])).
% 0.23/0.32 thf(f140,definition,(
% 0.23/0.32 spl12_12 <=> ($true = ((sK4 @ (sK9 @ sK11) @ (sK10 @ sK11))))),
% 0.23/0.32 introduced(definition,[new_symbols(definition,[spl12_12])],[avatar_definition])).
% 0.23/0.32 thf(f142,plain,(
% 0.23/0.32 ($true = ((sK4 @ (sK9 @ sK11) @ (sK10 @ sK11)))) | ~spl12_12),
% 0.23/0.33 inference(avatar_component_clause,[],[f140])).
% 0.23/0.33 thf(f143,plain,(
% 0.23/0.33 spl12_12 | spl12_11 | ~spl12_10),
% 0.23/0.33 inference(avatar_split_clause,[],[f138,f130,f133,f140])).
% 0.23/0.33 thf(f144,plain,(
% 0.23/0.33 ($true != $true) | ($true = ((sK11 @ sK3 @ sK0))) | (((sK2 @ sK11)) != $true) | ~spl12_11),
% 0.23/0.33 inference(constrained_superposition,[],[f17,f135])).
% 0.23/0.33 thf(f145,plain,(
% 0.23/0.33 (((sK2 @ sK11)) != $true) | ($true = ((sK11 @ sK3 @ sK0))) | ~spl12_11),
% 0.23/0.33 inference(trivial_inequality_removal,[],[f144])).
% 0.23/0.33 thf(f146,plain,(
% 0.23/0.33 ($true = ((sK11 @ sK3 @ sK0))) | ~spl12_11),
% 0.23/0.33 inference(forward_subsumption_resolution,[],[f145,f12])).
% 0.23/0.33 thf(f147,plain,(
% 0.23/0.33 $false | ~spl12_11),
% 0.23/0.33 inference(forward_subsumption_resolution,[],[f146,f9])).
% 0.23/0.33 thf(f148,plain,(
% 0.23/0.33 ~spl12_11),
% 0.23/0.33 inference(avatar_contradiction_clause,[],[f147])).
% 0.23/0.33 thf(f151,plain,(
% 0.23/0.33 ($true != $true) | (((sK11 @ (sK9 @ sK11) @ (sK10 @ sK11))) = $true) | ~spl12_12),
% 0.23/0.33 inference(constrained_superposition,[],[f11,f142])).
% 0.23/0.33 thf(f152,plain,(
% 0.23/0.33 (((sK11 @ (sK9 @ sK11) @ (sK10 @ sK11))) = $true) | ~spl12_12),
% 0.23/0.33 inference(trivial_inequality_removal,[],[f151])).
% 0.23/0.33 thf(f153,plain,(
% 0.23/0.33 ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : ((((sK2 @ sK11)) != $true) | (((X0 @ sK3 @ sK0)) = $true) | ($true != ((sK2 @ X0))) | ($true != ((sK2 @ X1))) | (((sK1 @ (sK8 @ X1) @ (sK7 @ X1))) = $true) | ($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0)))) | (((X1 @ (sK6 @ X0) @ (sK5 @ X0))) = $true) | ($true != $true)) ) | ~spl12_12),
% 0.23/0.33 inference(constrained_superposition,[],[f14,f152])).
% 0.23/0.33 thf(f154,plain,(
% 0.23/0.33 ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : ((((sK1 @ (sK8 @ X1) @ (sK7 @ X1))) = $true) | ($true != ((sK2 @ X0))) | ($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0)))) | (((X1 @ (sK6 @ X0) @ (sK5 @ X0))) = $true) | (((sK2 @ sK11)) != $true) | ($true != ((sK2 @ X1))) | (((X0 @ sK3 @ sK0)) = $true)) ) | ~spl12_12),
% 0.23/0.33 inference(trivial_inequality_removal,[],[f153])).
% 0.23/0.33 thf(f155,plain,(
% 0.23/0.33 ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : (($true != ((sK2 @ X1))) | (((sK1 @ (sK8 @ X1) @ (sK7 @ X1))) = $true) | ($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0)))) | (((X0 @ sK3 @ sK0)) = $true) | (((X1 @ (sK6 @ X0) @ (sK5 @ X0))) = $true) | ($true != ((sK2 @ X0)))) ) | ~spl12_12),
% 0.23/0.33 inference(forward_subsumption_resolution,[],[f154,f12])).
% 0.23/0.33 thf(f158,plain,(
% 0.23/0.33 ( ! [X0 : (a > a > $o)] : ((((X0 @ sK3 @ sK0)) = $true) | ($true != ((sK2 @ X0))) | ($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0)))) | ($true = ((sK1 @ (sK8 @ sK11) @ (sK7 @ sK11)))) | ($true != $true) | ($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0))))) ) | ~spl12_12),
% 0.23/0.33 inference(constrained_superposition,[],[f155,f12])).
% 0.23/0.33 thf(f159,plain,(
% 0.23/0.33 ( ! [X0 : (a > a > $o)] : (($true != ((sK2 @ X0))) | (((X0 @ sK3 @ sK0)) = $true) | ($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0)))) | ($true != $true) | ($true = ((sK1 @ (sK8 @ sK11) @ (sK7 @ sK11))))) ) | ~spl12_12),
% 0.23/0.33 inference(duplicate_literal_removal,[],[f158])).
% 0.23/0.33 thf(f160,plain,(
% 0.23/0.33 ( ! [X0 : (a > a > $o)] : (($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0)))) | ($true = ((sK1 @ (sK8 @ sK11) @ (sK7 @ sK11)))) | (((X0 @ sK3 @ sK0)) = $true) | ($true != ((sK2 @ X0)))) ) | ~spl12_12),
% 0.23/0.33 inference(trivial_inequality_removal,[],[f159])).
% 0.23/0.33 thf(f162,definition,(
% 0.23/0.33 spl12_13 <=> ! [X0 : (a > a > $o)] : (($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0)))) | ($true != ((sK2 @ X0))) | (((X0 @ sK3 @ sK0)) = $true))),
% 0.23/0.33 introduced(definition,[new_symbols(definition,[spl12_13])],[avatar_definition])).
% 0.23/0.33 thf(f163,plain,(
% 0.23/0.33 ( ! [X0 : (a > a > $o)] : (($true != ((sK2 @ X0))) | (((X0 @ sK3 @ sK0)) = $true) | ($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0))))) ) | ~spl12_13),
% 0.23/0.33 inference(avatar_component_clause,[],[f162])).
% 0.23/0.33 thf(f164,plain,(
% 0.23/0.33 spl12_6 | spl12_13 | ~spl12_12),
% 0.23/0.33 inference(avatar_split_clause,[],[f160,f140,f162,f65])).
% 0.23/0.33 thf(f165,plain,(
% 0.23/0.33 ($true != $true) | ($true = ((sK11 @ (sK6 @ sK11) @ (sK5 @ sK11)))) | ($true = ((sK11 @ sK3 @ sK0))) | ~spl12_13),
% 0.23/0.33 inference(constrained_superposition,[],[f163,f12])).
% 0.23/0.33 thf(f166,plain,(
% 0.23/0.33 ($true = ((sK11 @ sK3 @ sK0))) | ($true = ((sK11 @ (sK6 @ sK11) @ (sK5 @ sK11)))) | ~spl12_13),
% 0.23/0.33 inference(trivial_inequality_removal,[],[f165])).
% 0.23/0.33 thf(f167,plain,(
% 0.23/0.33 ($true = ((sK11 @ (sK6 @ sK11) @ (sK5 @ sK11)))) | ~spl12_13),
% 0.23/0.33 inference(forward_subsumption_resolution,[],[f166,f9])).
% 0.23/0.33 thf(f168,plain,(
% 0.23/0.33 $false | (spl12_11 | ~spl12_13)),
% 0.23/0.33 inference(forward_subsumption_resolution,[],[f167,f134])).
% 0.23/0.33 thf(f169,plain,(
% 0.23/0.33 spl12_11 | ~spl12_13),
% 0.23/0.33 inference(avatar_contradiction_clause,[],[f168])).
% 0.23/0.33 thf(f180,plain,(
% 0.23/0.33 ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : ((((X0 @ (sK6 @ X1) @ (sK5 @ X1))) = $true) | (((X0 @ (sK9 @ X0) @ (sK10 @ X0))) != $true) | (((sK2 @ sK11)) != $true) | ($true = ((X1 @ sK3 @ sK0))) | ($true = ((sK11 @ (sK6 @ X1) @ (sK5 @ X1)))) | ($true != $true) | ($true != ((sK2 @ X1))) | ($true != ((sK2 @ X0)))) ) | ~spl12_6),
% 0.23/0.33 inference(constrained_superposition,[],[f16,f73])).
% 0.23/0.33 thf(f181,plain,(
% 0.23/0.33 ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : (($true = ((sK11 @ (sK6 @ X1) @ (sK5 @ X1)))) | (((sK2 @ sK11)) != $true) | ($true != ((sK2 @ X0))) | (((X0 @ (sK9 @ X0) @ (sK10 @ X0))) != $true) | (((X0 @ (sK6 @ X1) @ (sK5 @ X1))) = $true) | ($true = ((X1 @ sK3 @ sK0))) | ($true != ((sK2 @ X1)))) ) | ~spl12_6),
% 0.23/0.33 inference(trivial_inequality_removal,[],[f180])).
% 0.23/0.33 thf(f196,plain,(
% 0.23/0.33 ( ! [X0 : (a > a > $o),X1 : (a > a > $o)] : ((((X0 @ (sK9 @ X0) @ (sK10 @ X0))) != $true) | ($true != ((sK2 @ X1))) | ($true != ((sK2 @ X0))) | ($true = ((X1 @ sK3 @ sK0))) | (((X0 @ (sK6 @ X1) @ (sK5 @ X1))) = $true) | ($true = ((sK11 @ (sK6 @ X1) @ (sK5 @ X1))))) ) | ~spl12_6),
% 0.23/0.33 inference(forward_subsumption_resolution,[],[f181,f12])).
% 0.23/0.33 thf(f203,plain,(
% 0.23/0.33 ( ! [X0 : (a > a > $o)] : (($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0)))) | ($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0)))) | ($true != ((sK2 @ X0))) | ($true != $true) | (((sK2 @ sK11)) != $true) | (((X0 @ sK3 @ sK0)) = $true)) ) | (~spl12_6 | ~spl12_12)),
% 0.23/0.33 inference(constrained_superposition,[],[f196,f152])).
% 0.23/0.33 thf(f204,plain,(
% 0.23/0.33 ( ! [X0 : (a > a > $o)] : ((((sK2 @ sK11)) != $true) | ($true != $true) | ($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0)))) | (((X0 @ sK3 @ sK0)) = $true) | ($true != ((sK2 @ X0)))) ) | (~spl12_6 | ~spl12_12)),
% 0.23/0.33 inference(duplicate_literal_removal,[],[f203])).
% 0.23/0.33 thf(f205,plain,(
% 0.23/0.33 ( ! [X0 : (a > a > $o)] : (($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0)))) | (((sK2 @ sK11)) != $true) | (((X0 @ sK3 @ sK0)) = $true) | ($true != ((sK2 @ X0)))) ) | (~spl12_6 | ~spl12_12)),
% 0.23/0.33 inference(trivial_inequality_removal,[],[f204])).
% 0.23/0.33 thf(f220,plain,(
% 0.23/0.33 ( ! [X0 : (a > a > $o)] : (($true = ((sK11 @ (sK6 @ X0) @ (sK5 @ X0)))) | ($true != ((sK2 @ X0))) | (((X0 @ sK3 @ sK0)) = $true)) ) | (~spl12_6 | ~spl12_12)),
% 0.23/0.33 inference(forward_subsumption_resolution,[],[f205,f12])).
% 0.23/0.33 thf(f221,plain,(
% 0.23/0.33 spl12_13 | ~spl12_6 | ~spl12_12),
% 0.23/0.33 inference(avatar_split_clause,[],[f220,f140,f65,f162])).
% 0.23/0.33 cnf(s3, plain, spl12_6 | spl12_7, inference(sat_conversion,[],[f71])).
% 0.23/0.33 cnf(s5, plain, ~spl12_6 | spl12_7, inference(sat_conversion,[],[f125])).
% 0.23/0.33 cnf(s6, plain, ~spl12_7 | spl12_10 | spl12_11, inference(sat_conversion,[],[f136])).
% 0.23/0.33 cnf(s7, plain, ~spl12_10 | spl12_11 | spl12_12, inference(sat_conversion,[],[f143])).
% 0.23/0.33 cnf(s8, plain, ~spl12_11, inference(sat_conversion,[],[f148])).
% 0.23/0.33 cnf(s9, plain, spl12_6 | ~spl12_12 | spl12_13, inference(sat_conversion,[],[f164])).
% 0.23/0.33 cnf(s10, plain, spl12_11 | ~spl12_13, inference(sat_conversion,[],[f169])).
% 0.23/0.33 cnf(s11, plain, ~spl12_6 | ~spl12_12 | spl12_13, inference(sat_conversion,[],[f221])).
% 0.23/0.33 cnf(s12, plain, ~spl12_13, inference(rat,[],[s10,s8])).
% 0.23/0.33 cnf(s13, plain, ~spl12_10 | spl12_12, inference(rat,[],[s7,s8])).
% 0.23/0.33 cnf(s14, plain, ~spl12_7 | spl12_10, inference(rat,[],[s6,s8])).
% 0.23/0.33 cnf(s15, plain, spl12_6, inference(rat,[],[s14,s13,s3,s9,s12])).
% 0.23/0.33 cnf(s16, plain, ~spl12_12, inference(rat,[],[s11,s12,s15])).
% 0.23/0.33 cnf(s17, plain, spl12_7, inference(rat,[],[s5,s15])).
% 0.23/0.33 cnf(s18, plain, ~spl12_10, inference(rat,[],[s13,s16])).
% 0.23/0.33 cnf(s19, plain, $false, inference(rat,[],[s14,s18,s17])).
% 0.23/0.33 thf(f222,plain,(
% 0.23/0.33 $false),
% 0.23/0.33 inference(avatar_sat_refutation,[],[s19])).
% 0.23/0.33 % SZS output end Proof for theBenchmark
% 0.23/0.33 % (3284290)------------------------------
% 0.23/0.33 % (3284290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.33 % (3284290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.33 % (3284290)CaDiCaL version: 2.1.3
% 0.23/0.33 % (3284290)Termination reason: Refutation
% 0.23/0.33 % (3284290)Time elapsed: 0.014 s
% 0.23/0.33 % (3284290)Peak memory usage: 13 MB
% 0.23/0.33 % (3284290)Instructions burned: 23 (million)
% 0.23/0.33 % (3284284)Success in time 0.066 s
% 0.23/0.33 % Vampire exiting
%------------------------------------------------------------------------------