%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU975^5 : 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 : n009.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 08:32:04 AM UTC 2026
% Result : Theorem 0.19s 0.35s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU975^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n009.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 14:54:45 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.07/0.21 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
% 0.19/0.35 % (4103991)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.19/0.35 % (4103998)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2725086510:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.19/0.35 % (4103998)Instruction limit reached!
% 0.19/0.35 % (4103998)------------------------------
% 0.19/0.35 % (4103998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (4103998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (4103998)CaDiCaL version: 2.1.3
% 0.19/0.35 % (4103998)Termination reason: Instruction limit
% 0.19/0.35 % (4103998)Termination phase: Property scanning
% 0.19/0.35 % (4103998)Time elapsed: 0.001 s
% 0.19/0.35 % (4103998)Peak memory usage: 10 MB
% 0.19/0.35 % (4103998)Instructions burned: 3 (million)
% 0.19/0.35 % (4103996)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1850773636:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.19/0.35 % (4104000)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2454488342:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.19/0.35 % (4104004)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3902328109:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.19/0.35 % (4104004)Instruction limit reached!
% 0.19/0.35 % (4104004)------------------------------
% 0.19/0.35 % (4104004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (4104004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (4104004)CaDiCaL version: 2.1.3
% 0.19/0.35 % (4104004)Termination reason: Instruction limit
% 0.19/0.35 % (4104004)Termination phase: Saturation
% 0.19/0.35 % (4104004)Time elapsed: 0.001 s
% 0.19/0.35 % (4104004)Peak memory usage: 11 MB
% 0.19/0.35 % (4104004)Instructions burned: 3 (million)
% 0.19/0.35 % (4103997)lrs+10_16_si=on:nwc=1.5:random_seed=2034144598:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.19/0.35 % (4104000)Instruction limit reached!
% 0.19/0.35 % (4104000)------------------------------
% 0.19/0.35 % (4104000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (4104000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (4104000)CaDiCaL version: 2.1.3
% 0.19/0.35 % (4104000)Termination reason: Instruction limit
% 0.19/0.35 % (4104000)Termination phase: Saturation
% 0.19/0.35 % (4104000)Time elapsed: 0.014 s
% 0.19/0.35 % (4104000)Peak memory usage: 12 MB
% 0.19/0.35 % (4104000)Instructions burned: 26 (million)
% 0.19/0.35 % (4103999)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=2484706366: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)
% 0.19/0.35 % (4104008)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2491640734:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.19/0.35 % (4104002)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.19/0.35 % (4104002)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
% 0.19/0.35 % (4103997)Instruction limit reached!
% 0.19/0.35 % (4103997)------------------------------
% 0.19/0.35 % (4103997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (4103997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (4103997)CaDiCaL version: 2.1.3
% 0.19/0.35 % (4103997)Termination reason: Instruction limit
% 0.19/0.35 % (4103997)Termination phase: Saturation
% 0.19/0.35 % (4103997)Time elapsed: 0.011 s
% 0.19/0.35 % (4103997)Peak memory usage: 12 MB
% 0.19/0.35 % (4103997)Instructions burned: 18 (million)
% 0.19/0.35 % (4104008)Instruction limit reached!
% 0.19/0.35 % (4104008)------------------------------
% 0.19/0.35 % (4104008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (4104008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (4104008)CaDiCaL version: 2.1.3
% 0.19/0.35 % (4104008)Termination reason: Instruction limit
% 0.19/0.35 % (4104008)Termination phase: Saturation
% 0.19/0.35 % (4104008)Time elapsed: 0.002 s
% 0.19/0.35 % (4104008)Peak memory usage: 12 MB
% 0.19/0.35 % (4104008)Instructions burned: 6 (million)
% 0.19/0.35 % (4104001)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1110500540:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.19/0.35 % (4104002)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=3496200910:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.19/0.35 % (4104012)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.19/0.35 % (4104015)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
% 0.19/0.35 % (4104015)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.19/0.35 % (4104012)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3352634043:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.19/0.35 % (4104013)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4269219627:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.19/0.35 % (4104015)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=877743260:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.19/0.35 % (4103996)Instruction limit reached!
% 0.19/0.35 % (4103996)------------------------------
% 0.19/0.35 % (4103996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (4103996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (4103996)CaDiCaL version: 2.1.3
% 0.19/0.35 % (4103996)Termination reason: Instruction limit
% 0.19/0.35 % (4103996)Termination phase: Saturation
% 0.19/0.35 % (4103996)Time elapsed: 0.042 s
% 0.19/0.35 % (4103996)Peak memory usage: 12 MB
% 0.19/0.35 % (4103996)Instructions burned: 88 (million)
% 0.19/0.35 % (4104012)Instruction limit reached!
% 0.19/0.35 % (4104012)------------------------------
% 0.19/0.35 % (4104012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (4104012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (4104012)CaDiCaL version: 2.1.3
% 0.19/0.35 % (4104012)Termination reason: Instruction limit
% 0.19/0.35 % (4104012)Termination phase: Saturation
% 0.19/0.35 % (4104012)Time elapsed: 0.005 s
% 0.19/0.35 % (4104012)Peak memory usage: 12 MB
% 0.19/0.35 % (4104012)Instructions burned: 9 (million)
% 0.19/0.35 % (4104013)Instruction limit reached!
% 0.19/0.35 % (4104013)------------------------------
% 0.19/0.35 % (4104013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (4104013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (4104013)CaDiCaL version: 2.1.3
% 0.19/0.35 % (4104013)Termination reason: Instruction limit
% 0.19/0.35 % (4104013)Termination phase: Saturation
% 0.19/0.35 % (4104013)Time elapsed: 0.009 s
% 0.19/0.35 % (4104013)Peak memory usage: 12 MB
% 0.19/0.35 % (4104013)Instructions burned: 14 (million)
% 0.19/0.35 % (4104015)Instruction limit reached!
% 0.19/0.35 % (4104015)------------------------------
% 0.19/0.35 % (4104015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (4104015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (4104015)CaDiCaL version: 2.1.3
% 0.19/0.35 % (4104015)Termination reason: Instruction limit
% 0.19/0.35 % (4104015)Termination phase: Saturation
% 0.19/0.35 % (4104015)Time elapsed: 0.016 s
% 0.19/0.35 % (4104015)Peak memory usage: 12 MB
% 0.19/0.35 % (4104015)Instructions burned: 29 (million)
% 0.19/0.35 % (4104020)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=865799350:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.19/0.35 % (4104001)Instruction limit reached!
% 0.19/0.35 % (4104001)------------------------------
% 0.19/0.35 % (4104001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (4104001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (4104001)CaDiCaL version: 2.1.3
% 0.19/0.35 % (4104001)Termination reason: Instruction limit
% 0.19/0.35 % (4104001)Termination phase: Saturation
% 0.19/0.35 % (4104001)Time elapsed: 0.042 s
% 0.19/0.35 % (4104001)Peak memory usage: 13 MB
% 0.19/0.35 % (4104001)Instructions burned: 76 (million)
% 0.19/0.35 % (4104002)Instruction limit reached!
% 0.19/0.35 % (4104002)------------------------------
% 0.19/0.35 % (4104002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (4104002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (4104002)CaDiCaL version: 2.1.3
% 0.19/0.35 % (4104002)Termination reason: Instruction limit
% 0.19/0.35 % (4104002)Termination phase: Saturation
% 0.19/0.35 % (4104002)Time elapsed: 0.044 s
% 0.19/0.35 % (4104002)Peak memory usage: 13 MB
% 0.19/0.35 % (4104002)Instructions burned: 158 (million)
% 0.19/0.35 % (4103999) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4103991-4103999"...
% 0.19/0.35 % (4103999)...printing done.
% 0.19/0.35 % (4103999)Refutation found. Thanks to Tanya!
% 0.19/0.35 % SZS status Theorem for theBenchmark
% 0.19/0.35 % SZS output start Proof for theBenchmark
% 0.19/0.35 thf(type_def_5, type, a: $tType).
% 0.19/0.35 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.19/0.35 thf(func_def_0, type, cR: (a > a)).
% 0.19/0.35 thf(func_def_1, type, cP: (a > a > a)).
% 0.19/0.35 thf(func_def_2, type, cL: (a > a)).
% 0.19/0.35 thf(func_def_3, type, cZ: a).
% 0.19/0.35 thf(func_def_7, type, sK0: a).
% 0.19/0.35 thf(func_def_8, type, sK1: a).
% 0.19/0.35 thf(func_def_9, type, sK2: (a > $o)).
% 0.19/0.35 thf(func_def_10, type, sK3: ((a > $o) > a)).
% 0.19/0.35 thf(func_def_11, type, sK4: ((a > $o) > a)).
% 0.19/0.35 thf(func_def_12, type, sK5: ((a > $o) > a)).
% 0.19/0.35 thf(func_def_13, type, sK6: ((a > $o) > a)).
% 0.19/0.35 thf(func_def_14, type, vNOT: ($o > $o)).
% 0.19/0.35 thf(func_def_16, type, db0: !>[X0: $tType]:(X0)).
% 0.19/0.35 thf(func_def_17, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.19/0.35 thf(func_def_18, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.19/0.35 thf(f1,conjecture,(
% 0.19/0.35 ((((cR @ cZ)) = cZ) & ! [X0 : a,X1 : a] : (((cR @ (cP @ X0 @ X1))) = X1) & ! [X2 : a] : ((X2 != cZ) <=> (X2 = ((cP @ (cL @ X2) @ (cR @ X2))))) & ! [X3 : (a > $o)] : (! [X4 : a,X2 : a] : ((X3 @ (cP @ X2 @ X4)) => ((X3 @ (cP @ (cR @ X2) @ (cR @ X4))) & ((X4 = cZ) <=> (X2 = cZ)) & (X3 @ (cP @ (cL @ X2) @ (cL @ X4))))) => ! [X2 : a,X4 : a] : ((X3 @ (cP @ X2 @ X4)) => (X2 = X4))) & ! [X1 : a,X0 : a] : (((cL @ (cP @ X0 @ X1))) = X0) & (((cL @ cZ)) = cZ)) => ! [X0 : a,X1 : a] : (? [X3 : (a > $o)] : ((X3 @ (cP @ X0 @ X1)) & ! [X2 : a,X4 : a] : ((X3 @ (cP @ X2 @ X4)) => (((X4 = cZ) => (X2 = cZ)) & (X3 @ (cP @ (cR @ X2) @ (cR @ X4))) & (X3 @ (cP @ (cL @ X2) @ (cL @ X4)))))) => ? [X3 : (a > $o)] : ((X3 @ (cP @ (cL @ X0) @ (cL @ X1))) & ! [X2 : a,X4 : a] : ((X3 @ (cP @ X2 @ X4)) => ((X3 @ (cP @ (cR @ X2) @ (cR @ X4))) & (X3 @ (cP @ (cL @ X2) @ (cL @ X4))) & ((X4 = cZ) => (X2 = cZ))))))),
% 0.19/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPU_LEM2B_pme)).
% 0.19/0.35 thf(f2,negated_conjecture,(
% 0.19/0.35 ~(((((cR @ cZ)) = cZ) & ! [X0 : a,X1 : a] : (((cR @ (cP @ X0 @ X1))) = X1) & ! [X2 : a] : ((X2 != cZ) <=> (X2 = ((cP @ (cL @ X2) @ (cR @ X2))))) & ! [X3 : (a > $o)] : (! [X4 : a,X2 : a] : ((X3 @ (cP @ X2 @ X4)) => ((X3 @ (cP @ (cR @ X2) @ (cR @ X4))) & ((X4 = cZ) <=> (X2 = cZ)) & (X3 @ (cP @ (cL @ X2) @ (cL @ X4))))) => ! [X2 : a,X4 : a] : ((X3 @ (cP @ X2 @ X4)) => (X2 = X4))) & ! [X1 : a,X0 : a] : (((cL @ (cP @ X0 @ X1))) = X0) & (((cL @ cZ)) = cZ)) => ! [X0 : a,X1 : a] : (? [X3 : (a > $o)] : ((X3 @ (cP @ X0 @ X1)) & ! [X2 : a,X4 : a] : ((X3 @ (cP @ X2 @ X4)) => (((X4 = cZ) => (X2 = cZ)) & (X3 @ (cP @ (cR @ X2) @ (cR @ X4))) & (X3 @ (cP @ (cL @ X2) @ (cL @ X4)))))) => ? [X3 : (a > $o)] : ((X3 @ (cP @ (cL @ X0) @ (cL @ X1))) & ! [X2 : a,X4 : a] : ((X3 @ (cP @ X2 @ X4)) => ((X3 @ (cP @ (cR @ X2) @ (cR @ X4))) & (X3 @ (cP @ (cL @ X2) @ (cL @ X4))) & ((X4 = cZ) => (X2 = cZ)))))))),
% 0.19/0.35 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.35 thf(f3,plain,(
% 0.19/0.35 ~(((((cR @ cZ)) = cZ) & ! [X0 : a,X1 : a] : (((cR @ (cP @ X0 @ X1))) = X1) & ! [X2 : a] : ((X2 != cZ) <=> (X2 = ((cP @ (cL @ X2) @ (cR @ X2))))) & ! [X3 : (a > $o)] : (! [X4 : a,X5 : a] : ((X3 @ (cP @ X5 @ X4)) => ((X3 @ (cP @ (cR @ X5) @ (cR @ X4))) & ((X4 = cZ) <=> (cZ = X5)) & (X3 @ (cP @ (cL @ X5) @ (cL @ X4))))) => ! [X6 : a,X7 : a] : ((X3 @ (cP @ X6 @ X7)) => (X6 = X7))) & ! [X8 : a,X9 : a] : (((cL @ (cP @ X9 @ X8))) = X9) & (((cL @ cZ)) = cZ)) => ! [X10 : a,X11 : a] : (? [X12 : (a > $o)] : ((X12 @ (cP @ X10 @ X11)) & ! [X13 : a,X14 : a] : ((X12 @ (cP @ X13 @ X14)) => (((cZ = X14) => (cZ = X13)) & (X12 @ (cP @ (cR @ X13) @ (cR @ X14))) & (X12 @ (cP @ (cL @ X13) @ (cL @ X14)))))) => ? [X15 : (a > $o)] : ((X15 @ (cP @ (cL @ X10) @ (cL @ X11))) & ! [X16 : a,X17 : a] : ((X15 @ (cP @ X16 @ X17)) => ((X15 @ (cP @ (cR @ X16) @ (cR @ X17))) & (X15 @ (cP @ (cL @ X16) @ (cL @ X17))) & ((cZ = X17) => (cZ = X16)))))))),
% 0.19/0.35 inference(rectify,[],[f2])).
% 0.19/0.35 thf(f4,plain,(
% 0.19/0.35 ~((! [X9 : a,X8 : a] : (((cL @ (cP @ X9 @ X8))) = X9) & ! [X0 : a,X1 : a] : (((cR @ (cP @ X0 @ X1))) = X1) & (cZ = ((cR @ cZ))) & ! [X2 : a] : ((cZ != X2) <=> (((cP @ (cL @ X2) @ (cR @ X2))) = X2)) & (cZ = ((cL @ cZ))) & ! [X3 : (a > $o)] : (! [X4 : a,X5 : a] : ((((X3 @ (cP @ X5 @ X4))) = $true) => (($true = ((X3 @ (cP @ (cL @ X5) @ (cL @ X4))))) & ((cZ = X4) <=> (cZ = X5)) & ($true = ((X3 @ (cP @ (cR @ X5) @ (cR @ X4))))))) => ! [X7 : a,X6 : a] : (($true = ((X3 @ (cP @ X6 @ X7)))) => (X6 = X7)))) => ! [X10 : a,X11 : a] : (? [X12 : (a > $o)] : (($true = ((X12 @ (cP @ X10 @ X11)))) & ! [X13 : a,X14 : a] : ((((X12 @ (cP @ X13 @ X14))) = $true) => (($true = ((X12 @ (cP @ (cR @ X13) @ (cR @ X14))))) & ($true = ((X12 @ (cP @ (cL @ X13) @ (cL @ X14))))) & ((cZ = X14) => (cZ = X13))))) => ? [X15 : (a > $o)] : ((((X15 @ (cP @ (cL @ X10) @ (cL @ X11)))) = $true) & ! [X17 : a,X16 : a] : (($true = ((X15 @ (cP @ X16 @ X17)))) => (($true = ((X15 @ (cP @ (cL @ X16) @ (cL @ X17))))) & (((X15 @ (cP @ (cR @ X16) @ (cR @ X17)))) = $true) & ((cZ = X17) => (cZ = X16)))))))),
% 0.19/0.35 inference(fool_elimination,[],[f3])).
% 0.19/0.35 thf(f5,plain,(
% 0.19/0.35 ? [X11 : a,X10 : a] : (? [X12 : (a > $o)] : (! [X14 : a,X13 : a] : ((((X12 @ (cP @ X13 @ X14))) != $true) | (($true = ((X12 @ (cP @ (cL @ X13) @ (cL @ X14))))) & ($true = ((X12 @ (cP @ (cR @ X13) @ (cR @ X14))))) & ((cZ != X14) | (cZ = X13)))) & ($true = ((X12 @ (cP @ X10 @ X11))))) & ! [X15 : (a > $o)] : (? [X17 : a,X16 : a] : ((((cZ = X17) & (cZ != X16)) | (((X15 @ (cP @ (cR @ X16) @ (cR @ X17)))) != $true) | ($true != ((X15 @ (cP @ (cL @ X16) @ (cL @ X17)))))) & ($true = ((X15 @ (cP @ X16 @ X17))))) | (((X15 @ (cP @ (cL @ X10) @ (cL @ X11)))) != $true))) & (! [X9 : a,X8 : a] : (((cL @ (cP @ X9 @ X8))) = X9) & ! [X0 : a,X1 : a] : (((cR @ (cP @ X0 @ X1))) = X1) & (cZ = ((cR @ cZ))) & ! [X2 : a] : ((cZ != X2) <=> (((cP @ (cL @ X2) @ (cR @ X2))) = X2)) & (cZ = ((cL @ cZ))) & ! [X3 : (a > $o)] : (! [X7 : a,X6 : a] : (($true != ((X3 @ (cP @ X6 @ X7)))) | (X6 = X7)) | ? [X5 : a,X4 : a] : ((($true != ((X3 @ (cP @ (cL @ X5) @ (cL @ X4))))) | ((cZ = X5) <~> (cZ = X4)) | ($true != ((X3 @ (cP @ (cR @ X5) @ (cR @ X4)))))) & (((X3 @ (cP @ X5 @ X4))) = $true))))),
% 0.19/0.35 inference(ennf_transformation,[],[f4])).
% 0.19/0.35 thf(f6,plain,(
% 0.19/0.35 ! [X9 : a,X8 : a] : (((cL @ (cP @ X9 @ X8))) = X9) & ? [X11 : a,X10 : a] : (? [X12 : (a > $o)] : (! [X14 : a,X13 : a] : ((((X12 @ (cP @ X13 @ X14))) != $true) | (($true = ((X12 @ (cP @ (cL @ X13) @ (cL @ X14))))) & ($true = ((X12 @ (cP @ (cR @ X13) @ (cR @ X14))))) & ((cZ != X14) | (cZ = X13)))) & ($true = ((X12 @ (cP @ X10 @ X11))))) & ! [X15 : (a > $o)] : (? [X17 : a,X16 : a] : ((((cZ = X17) & (cZ != X16)) | (((X15 @ (cP @ (cR @ X16) @ (cR @ X17)))) != $true) | ($true != ((X15 @ (cP @ (cL @ X16) @ (cL @ X17)))))) & ($true = ((X15 @ (cP @ X16 @ X17))))) | (((X15 @ (cP @ (cL @ X10) @ (cL @ X11)))) != $true))) & ! [X2 : a] : ((cZ != X2) <=> (((cP @ (cL @ X2) @ (cR @ X2))) = X2)) & ! [X3 : (a > $o)] : (! [X7 : a,X6 : a] : (($true != ((X3 @ (cP @ X6 @ X7)))) | (X6 = X7)) | ? [X5 : a,X4 : a] : ((($true != ((X3 @ (cP @ (cL @ X5) @ (cL @ X4))))) | ((cZ = X5) <~> (cZ = X4)) | ($true != ((X3 @ (cP @ (cR @ X5) @ (cR @ X4)))))) & (((X3 @ (cP @ X5 @ X4))) = $true))) & (cZ = ((cL @ cZ))) & ! [X0 : a,X1 : a] : (((cR @ (cP @ X0 @ X1))) = X1) & (cZ = ((cR @ cZ)))),
% 0.19/0.35 inference(flattening,[],[f5])).
% 0.19/0.35 thf(f7,plain,(
% 0.19/0.35 ! [X9 : a,X8 : a] : (((cL @ (cP @ X9 @ X8))) = X9) & ? [X11 : a,X10 : a] : (? [X12 : (a > $o)] : (! [X14 : a,X13 : a] : ((((X12 @ (cP @ X13 @ X14))) != $true) | (($true = ((X12 @ (cP @ (cL @ X13) @ (cL @ X14))))) & ($true = ((X12 @ (cP @ (cR @ X13) @ (cR @ X14))))) & ((cZ != X14) | (cZ = X13)))) & ($true = ((X12 @ (cP @ X10 @ X11))))) & ! [X15 : (a > $o)] : (? [X17 : a,X16 : a] : ((((cZ = X17) & (cZ != X16)) | (((X15 @ (cP @ (cR @ X16) @ (cR @ X17)))) != $true) | ($true != ((X15 @ (cP @ (cL @ X16) @ (cL @ X17)))))) & ($true = ((X15 @ (cP @ X16 @ X17))))) | (((X15 @ (cP @ (cL @ X10) @ (cL @ X11)))) != $true))) & ! [X2 : a] : (((cZ != X2) | (((cP @ (cL @ X2) @ (cR @ X2))) != X2)) & ((((cP @ (cL @ X2) @ (cR @ X2))) = X2) | (cZ = X2))) & ! [X3 : (a > $o)] : (! [X7 : a,X6 : a] : (($true != ((X3 @ (cP @ X6 @ X7)))) | (X6 = X7)) | ? [X5 : a,X4 : a] : ((($true != ((X3 @ (cP @ (cL @ X5) @ (cL @ X4))))) | (((cZ != X4) | (cZ != X5)) & ((cZ = X4) | (cZ = X5))) | ($true != ((X3 @ (cP @ (cR @ X5) @ (cR @ X4)))))) & (((X3 @ (cP @ X5 @ X4))) = $true))) & (cZ = ((cL @ cZ))) & ! [X0 : a,X1 : a] : (((cR @ (cP @ X0 @ X1))) = X1) & (cZ = ((cR @ cZ)))),
% 0.19/0.35 inference(nnf_transformation,[],[f6])).
% 0.19/0.35 thf(f8,plain,(
% 0.19/0.35 ! [X0 : a,X1 : a] : (((cL @ (cP @ X0 @ X1))) = X0) & ? [X2 : a,X3 : a] : (? [X4 : (a > $o)] : (! [X5 : a,X6 : a] : ((((X4 @ (cP @ X6 @ X5))) != $true) | ((((X4 @ (cP @ (cL @ X6) @ (cL @ X5)))) = $true) & ($true = ((X4 @ (cP @ (cR @ X6) @ (cR @ X5))))) & ((cZ != X5) | (cZ = X6)))) & ($true = ((X4 @ (cP @ X3 @ X2))))) & ! [X7 : (a > $o)] : (? [X8 : a,X9 : a] : ((((cZ = X8) & (cZ != X9)) | (((X7 @ (cP @ (cR @ X9) @ (cR @ X8)))) != $true) | ($true != ((X7 @ (cP @ (cL @ X9) @ (cL @ X8)))))) & ($true = ((X7 @ (cP @ X9 @ X8))))) | ($true != ((X7 @ (cP @ (cL @ X3) @ (cL @ X2))))))) & ! [X10 : a] : (((cZ != X10) | (((cP @ (cL @ X10) @ (cR @ X10))) != X10)) & ((((cP @ (cL @ X10) @ (cR @ X10))) = X10) | (cZ = X10))) & ! [X11 : (a > $o)] : (! [X12 : a,X13 : a] : ((((X11 @ (cP @ X13 @ X12))) != $true) | (X12 = X13)) | ? [X14 : a,X15 : a] : (((((X11 @ (cP @ (cL @ X14) @ (cL @ X15)))) != $true) | (((cZ != X15) | (cZ != X14)) & ((cZ = X15) | (cZ = X14))) | ($true != ((X11 @ (cP @ (cR @ X14) @ (cR @ X15)))))) & ($true = ((X11 @ (cP @ X14 @ X15)))))) & (cZ = ((cL @ cZ))) & ! [X16 : a,X17 : a] : (((cR @ (cP @ X16 @ X17))) = X17) & (cZ = ((cR @ cZ)))),
% 0.19/0.35 inference(rectify,[],[f7])).
% 0.19/0.35 thf(f9,plain,(
% 0.19/0.35 ! [X0 : a,X1 : a] : (((cL @ (cP @ X0 @ X1))) = X0) & ((! [X5 : a,X6 : a] : (($true != ((sK2 @ (cP @ X6 @ X5)))) | ((((sK2 @ (cP @ (cL @ X6) @ (cL @ X5)))) = $true) & ($true = ((sK2 @ (cP @ (cR @ X6) @ (cR @ X5))))) & ((cZ != X5) | (cZ = X6)))) & ($true = ((sK2 @ (cP @ sK1 @ sK0))))) & ! [X7 : (a > $o)] : (((((cZ = ((sK3 @ X7))) & (cZ != ((sK4 @ X7)))) | ($true != ((X7 @ (cP @ (cR @ (sK4 @ X7)) @ (cR @ (sK3 @ X7)))))) | (((X7 @ (cP @ (cL @ (sK4 @ X7)) @ (cL @ (sK3 @ X7))))) != $true)) & ($true = ((X7 @ (cP @ (sK4 @ X7) @ (sK3 @ X7)))))) | ($true != ((X7 @ (cP @ (cL @ sK1) @ (cL @ sK0))))))) & ! [X10 : a] : (((cZ != X10) | (((cP @ (cL @ X10) @ (cR @ X10))) != X10)) & ((((cP @ (cL @ X10) @ (cR @ X10))) = X10) | (cZ = X10))) & ! [X11 : (a > $o)] : (! [X12 : a,X13 : a] : ((((X11 @ (cP @ X13 @ X12))) != $true) | (X12 = X13)) | (((((X11 @ (cP @ (cL @ (sK5 @ X11)) @ (cL @ (sK6 @ X11))))) != $true) | (((cZ != ((sK6 @ X11))) | (cZ != ((sK5 @ X11)))) & ((cZ = ((sK6 @ X11))) | (cZ = ((sK5 @ X11))))) | (((X11 @ (cP @ (cR @ (sK5 @ X11)) @ (cR @ (sK6 @ X11))))) != $true)) & (((X11 @ (cP @ (sK5 @ X11) @ (sK6 @ X11)))) = $true))) & (cZ = ((cL @ cZ))) & ! [X16 : a,X17 : a] : (((cR @ (cP @ X16 @ X17))) = X17) & (cZ = ((cR @ cZ)))),
% 0.19/0.35 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,vAPP,vAPP,vAPP,vAPP]),skolemize(X2,sK0),skolemize(X3,sK1),skolemize(X4,sK2),skolemize(X15,sK6 @ X11),skolemize(X15,sK6 @ X11),skolemize(X15,sK6 @ X11),skolemize(X15,sK6 @ X11)],[f8])).
% 0.19/0.35 thf(f12,plain,(
% 0.19/0.35 (cZ = ((cL @ cZ)))),
% 0.19/0.35 inference(cnf_transformation,[],[f9])).
% 0.19/0.35 thf(f18,plain,(
% 0.19/0.35 ( ! [X7 : (a > $o)] : (($true = ((X7 @ (cP @ (sK4 @ X7) @ (sK3 @ X7))))) | ($true != ((X7 @ (cP @ (cL @ sK1) @ (cL @ sK0)))))) )),
% 0.19/0.35 inference(cnf_transformation,[],[f9])).
% 0.19/0.35 thf(f19,plain,(
% 0.19/0.35 ( ! [X7 : (a > $o)] : (($true != ((X7 @ (cP @ (cR @ (sK4 @ X7)) @ (cR @ (sK3 @ X7)))))) | ($true != ((X7 @ (cP @ (cL @ sK1) @ (cL @ sK0))))) | (((X7 @ (cP @ (cL @ (sK4 @ X7)) @ (cL @ (sK3 @ X7))))) != $true) | (cZ != ((sK4 @ X7)))) )),
% 0.19/0.35 inference(cnf_transformation,[],[f9])).
% 0.19/0.35 thf(f20,plain,(
% 0.19/0.35 ( ! [X7 : (a > $o)] : (($true != ((X7 @ (cP @ (cR @ (sK4 @ X7)) @ (cR @ (sK3 @ X7)))))) | (((X7 @ (cP @ (cL @ (sK4 @ X7)) @ (cL @ (sK3 @ X7))))) != $true) | (cZ = ((sK3 @ X7))) | ($true != ((X7 @ (cP @ (cL @ sK1) @ (cL @ sK0)))))) )),
% 0.19/0.35 inference(cnf_transformation,[],[f9])).
% 0.19/0.35 thf(f21,plain,(
% 0.19/0.35 ($true = ((sK2 @ (cP @ sK1 @ sK0))))),
% 0.19/0.35 inference(cnf_transformation,[],[f9])).
% 0.19/0.35 thf(f22,plain,(
% 0.19/0.35 ( ! [X6 : a,X5 : a] : (($true != ((sK2 @ (cP @ X6 @ X5)))) | (cZ != X5) | (cZ = X6)) )),
% 0.19/0.35 inference(cnf_transformation,[],[f9])).
% 0.19/0.35 thf(f23,plain,(
% 0.19/0.35 ( ! [X6 : a,X5 : a] : (($true = ((sK2 @ (cP @ (cR @ X6) @ (cR @ X5))))) | ($true != ((sK2 @ (cP @ X6 @ X5))))) )),
% 0.19/0.35 inference(cnf_transformation,[],[f9])).
% 0.19/0.35 thf(f24,plain,(
% 0.19/0.35 ( ! [X6 : a,X5 : a] : ((((sK2 @ (cP @ (cL @ X6) @ (cL @ X5)))) = $true) | ($true != ((sK2 @ (cP @ X6 @ X5))))) )),
% 0.19/0.35 inference(cnf_transformation,[],[f9])).
% 0.19/0.35 thf(f27,plain,(
% 0.19/0.35 ( ! [X6 : a] : (($true != ((sK2 @ (cP @ X6 @ cZ)))) | (cZ = X6)) )),
% 0.19/0.35 inference(equality_resolution,[],[f22])).
% 0.19/0.35 thf(f40,definition,(
% 0.19/0.35 spl7_3 <=> ($true = ((sK2 @ (cP @ sK1 @ sK0))))),
% 0.19/0.35 introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition])).
% 0.19/0.35 thf(f42,plain,(
% 0.19/0.35 ($true = ((sK2 @ (cP @ sK1 @ sK0)))) | ~spl7_3),
% 0.19/0.35 inference(avatar_component_clause,[],[f40])).
% 0.19/0.35 thf(f43,plain,(
% 0.19/0.35 spl7_3),
% 0.19/0.35 inference(avatar_split_clause,[],[f21,f40])).
% 0.19/0.35 thf(f45,definition,(
% 0.19/0.35 spl7_4 <=> (cZ = ((cL @ cZ)))),
% 0.19/0.35 introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition])).
% 0.19/0.35 thf(f48,plain,(
% 0.19/0.35 spl7_4),
% 0.19/0.35 inference(avatar_split_clause,[],[f12,f45])).
% 0.19/0.35 thf(f88,plain,(
% 0.19/0.35 (((sK2 @ (cP @ (sK4 @ sK2) @ (sK3 @ sK2)))) != $true) | ($true != ((sK2 @ (cP @ (cL @ sK1) @ (cL @ sK0))))) | ($true != $true) | (cZ != ((sK4 @ sK2))) | (((sK2 @ (cP @ (cL @ (sK4 @ sK2)) @ (cL @ (sK3 @ sK2))))) != $true)),
% 0.19/0.35 inference(superposition,[],[f19,f23])).
% 0.19/0.35 thf(f89,plain,(
% 0.19/0.35 (((sK2 @ (cP @ (sK4 @ sK2) @ (sK3 @ sK2)))) != $true) | (((sK2 @ (cP @ (cL @ (sK4 @ sK2)) @ (cL @ (sK3 @ sK2))))) != $true) | ($true != ((sK2 @ (cP @ (cL @ sK1) @ (cL @ sK0))))) | (cZ != ((sK4 @ sK2)))),
% 0.19/0.35 inference(trivial_inequality_removal,[],[f88])).
% 0.19/0.35 thf(f91,definition,(
% 0.19/0.35 spl7_8 <=> (cZ = ((sK4 @ sK2)))),
% 0.19/0.35 introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition])).
% 0.19/0.35 thf(f93,plain,(
% 0.19/0.35 (cZ != ((sK4 @ sK2))) | spl7_8),
% 0.19/0.35 inference(avatar_component_clause,[],[f91])).
% 0.19/0.35 thf(f95,definition,(
% 0.19/0.35 spl7_9 <=> (((sK2 @ (cP @ (sK4 @ sK2) @ (sK3 @ sK2)))) = $true)),
% 0.19/0.35 introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition])).
% 0.19/0.35 thf(f99,definition,(
% 0.19/0.35 spl7_10 <=> ($true = ((sK2 @ (cP @ (cL @ sK1) @ (cL @ sK0)))))),
% 0.19/0.35 introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition])).
% 0.19/0.35 thf(f100,plain,(
% 0.19/0.35 ($true = ((sK2 @ (cP @ (cL @ sK1) @ (cL @ sK0))))) | ~spl7_10),
% 0.19/0.35 inference(avatar_component_clause,[],[f99])).
% 0.19/0.35 thf(f101,plain,(
% 0.19/0.35 ($true != ((sK2 @ (cP @ (cL @ sK1) @ (cL @ sK0))))) | spl7_10),
% 0.19/0.35 inference(avatar_component_clause,[],[f99])).
% 0.19/0.35 thf(f103,definition,(
% 0.19/0.35 spl7_11 <=> (((sK2 @ (cP @ (cL @ (sK4 @ sK2)) @ (cL @ (sK3 @ sK2))))) = $true)),
% 0.19/0.35 introduced(definition,[new_symbols(definition,[spl7_11])],[avatar_definition])).
% 0.19/0.35 thf(f106,plain,(
% 0.19/0.35 ~spl7_8 | ~spl7_9 | ~spl7_10 | ~spl7_11),
% 0.19/0.35 inference(avatar_split_clause,[],[f89,f103,f99,f95,f91])).
% 0.19/0.35 thf(f539,plain,(
% 0.19/0.35 (((sK2 @ (cP @ (sK4 @ sK2) @ (sK3 @ sK2)))) != $true) | ($true != ((sK2 @ (cP @ (cL @ sK1) @ (cL @ sK0))))) | (cZ = ((sK3 @ sK2))) | ($true != $true) | (((sK2 @ (cP @ (cL @ (sK4 @ sK2)) @ (cL @ (sK3 @ sK2))))) != $true)),
% 0.19/0.35 inference(superposition,[],[f20,f23])).
% 0.19/0.35 thf(f540,plain,(
% 0.19/0.35 (cZ = ((sK3 @ sK2))) | (((sK2 @ (cP @ (cL @ (sK4 @ sK2)) @ (cL @ (sK3 @ sK2))))) != $true) | (((sK2 @ (cP @ (sK4 @ sK2) @ (sK3 @ sK2)))) != $true) | ($true != ((sK2 @ (cP @ (cL @ sK1) @ (cL @ sK0)))))),
% 0.19/0.35 inference(trivial_inequality_removal,[],[f539])).
% 0.19/0.35 thf(f561,plain,(
% 0.19/0.35 (((sK2 @ (cP @ (sK4 @ sK2) @ (sK3 @ sK2)))) != $true) | (cZ = ((sK3 @ sK2))) | ($true != ((sK2 @ (cP @ (cL @ sK1) @ (cL @ sK0)))))),
% 0.19/0.35 inference(forward_subsumption_resolution,[],[f540,f24])).
% 0.19/0.35 thf(f569,plain,(
% 0.19/0.35 ($true != ((sK2 @ (cP @ (cL @ sK1) @ (cL @ sK0))))) | (cZ = ((sK3 @ sK2)))),
% 0.19/0.35 inference(forward_subsumption_resolution,[],[f561,f18])).
% 0.19/0.35 thf(f573,definition,(
% 0.19/0.35 spl7_36 <=> (cZ = ((sK3 @ sK2)))),
% 0.19/0.35 introduced(definition,[new_symbols(definition,[spl7_36])],[avatar_definition])).
% 0.19/0.35 thf(f575,plain,(
% 0.19/0.35 (cZ = ((sK3 @ sK2))) | ~spl7_36),
% 0.19/0.35 inference(avatar_component_clause,[],[f573])).
% 0.19/0.35 thf(f576,plain,(
% 0.19/0.35 ~spl7_10 | spl7_36),
% 0.19/0.35 inference(avatar_split_clause,[],[f569,f573,f99])).
% 0.19/0.35 thf(f611,plain,(
% 0.19/0.35 ($true != ((sK2 @ (cP @ sK1 @ sK0)))) | ($true != $true) | spl7_10),
% 0.19/0.35 inference(superposition,[],[f101,f24])).
% 0.19/0.35 thf(f612,plain,(
% 0.19/0.35 ($true != ((sK2 @ (cP @ sK1 @ sK0)))) | spl7_10),
% 0.19/0.35 inference(trivial_inequality_removal,[],[f611])).
% 0.19/0.35 thf(f613,plain,(
% 0.19/0.35 $false | (~spl7_3 | spl7_10)),
% 0.19/0.35 inference(forward_subsumption_resolution,[],[f612,f42])).
% 0.19/0.35 thf(f614,plain,(
% 0.19/0.35 ~spl7_3 | spl7_10),
% 0.19/0.35 inference(avatar_contradiction_clause,[],[f613])).
% 0.19/0.35 thf(f615,plain,(
% 0.19/0.35 ( ! [X0 : a] : (($true != ((sK2 @ (cP @ X0 @ (sK3 @ sK2))))) | (((sK3 @ sK2)) = X0)) ) | ~spl7_36),
% 0.19/0.35 inference(superposition,[],[f27,f575])).
% 0.19/0.35 thf(f622,plain,(
% 0.19/0.35 (((sK3 @ sK2)) != ((sK4 @ sK2))) | (spl7_8 | ~spl7_36)),
% 0.19/0.35 inference(superposition,[],[f93,f575])).
% 0.19/0.35 thf(f676,definition,(
% 0.19/0.35 spl7_44 <=> (((sK3 @ sK2)) = ((sK4 @ sK2)))),
% 0.19/0.35 introduced(definition,[new_symbols(definition,[spl7_44])],[avatar_definition])).
% 0.19/0.35 thf(f677,plain,(
% 0.19/0.35 (((sK3 @ sK2)) = ((sK4 @ sK2))) | ~spl7_44),
% 0.19/0.35 inference(avatar_component_clause,[],[f676])).
% 0.19/0.35 thf(f679,plain,(
% 0.19/0.35 ~spl7_44 | spl7_8 | ~spl7_36),
% 0.19/0.35 inference(avatar_split_clause,[],[f622,f573,f91,f676])).
% 0.19/0.35 thf(f710,plain,(
% 0.19/0.35 ($true != ((sK2 @ (cP @ (cL @ sK1) @ (cL @ sK0))))) | ($true != $true) | (((sK3 @ sK2)) = ((sK4 @ sK2))) | ~spl7_36),
% 0.19/0.35 inference(superposition,[],[f615,f18])).
% 0.19/0.35 thf(f711,plain,(
% 0.19/0.35 ($true != ((sK2 @ (cP @ (cL @ sK1) @ (cL @ sK0))))) | (((sK3 @ sK2)) = ((sK4 @ sK2))) | ~spl7_36),
% 0.19/0.35 inference(trivial_inequality_removal,[],[f710])).
% 0.19/0.35 thf(f712,plain,(
% 0.19/0.35 (((sK3 @ sK2)) = ((sK4 @ sK2))) | (~spl7_10 | ~spl7_36)),
% 0.19/0.35 inference(forward_subsumption_resolution,[],[f711,f100])).
% 0.19/0.35 thf(f715,plain,(
% 0.19/0.35 spl7_44 | ~spl7_10 | ~spl7_36),
% 0.19/0.35 inference(avatar_split_clause,[],[f712,f573,f99,f676])).
% 0.19/0.35 thf(f799,plain,(
% 0.19/0.35 (((sK2 @ (cP @ (sK4 @ sK2) @ (sK4 @ sK2)))) = $true) | ($true != ((sK2 @ (cP @ (cL @ sK1) @ (cL @ sK0))))) | ~spl7_44),
% 0.19/0.35 inference(superposition,[],[f18,f677])).
% 0.19/0.35 thf(f804,plain,(
% 0.19/0.35 (((sK2 @ (cP @ (sK4 @ sK2) @ (sK4 @ sK2)))) = $true) | (~spl7_10 | ~spl7_44)),
% 0.19/0.35 inference(forward_subsumption_resolution,[],[f799,f100])).
% 0.19/0.35 thf(f807,definition,(
% 0.19/0.35 spl7_55 <=> (((sK2 @ (cP @ (sK4 @ sK2) @ (sK4 @ sK2)))) = $true)),
% 0.19/0.35 introduced(definition,[new_symbols(definition,[spl7_55])],[avatar_definition])).
% 0.19/0.35 thf(f810,plain,(
% 0.19/0.35 spl7_55 | ~spl7_10 | ~spl7_44),
% 0.19/0.35 inference(avatar_split_clause,[],[f804,f676,f99,f807])).
% 0.19/0.35 thf(f820,definition,(
% 0.19/0.35 (cZ != ((sK3 @ sK2))) | (cZ != ((cL @ cZ))) | (cZ != ((sK4 @ sK2))) | (((sK2 @ (cP @ (sK4 @ sK2) @ (sK4 @ sK2)))) != $true) | (((sK2 @ (cP @ (sK4 @ sK2) @ (sK3 @ sK2)))) = $true)),
% 0.19/0.35 introduced(theory,[theory_tautology_sat_conflict])).
% 0.19/0.35 thf(f823,definition,(
% 0.19/0.35 (cZ != ((sK4 @ sK2))) | (cZ != ((sK3 @ sK2))) | (cZ != ((cL @ cZ))) | (((sK2 @ (cP @ (sK4 @ sK2) @ (sK3 @ sK2)))) != $true) | (((sK2 @ (cP @ (cL @ (sK4 @ sK2)) @ (cL @ (sK3 @ sK2))))) = $true)),
% 0.19/0.35 introduced(theory,[theory_tautology_sat_conflict])).
% 0.19/0.35 cnf(s3, plain, spl7_3, inference(sat_conversion,[],[f43])).
% 0.19/0.35 cnf(s4, plain, spl7_4, inference(sat_conversion,[],[f48])).
% 0.19/0.35 cnf(s9, plain, ~spl7_8 | ~spl7_9 | ~spl7_10 | ~spl7_11, inference(sat_conversion,[],[f106])).
% 0.19/0.35 cnf(s31, plain, ~spl7_10 | spl7_36, inference(sat_conversion,[],[f576])).
% 0.19/0.35 cnf(s34, plain, ~spl7_3 | spl7_10, inference(sat_conversion,[],[f614])).
% 0.19/0.35 cnf(s41, plain, spl7_8 | ~spl7_36 | ~spl7_44, inference(sat_conversion,[],[f679])).
% 0.19/0.35 cnf(s44, plain, ~spl7_10 | ~spl7_36 | spl7_44, inference(sat_conversion,[],[f715])).
% 0.19/0.35 cnf(s57, plain, ~spl7_10 | ~spl7_44 | spl7_55, inference(sat_conversion,[],[f810])).
% 0.19/0.35 cnf(s59, plain, ~spl7_4 | ~spl7_8 | spl7_9 | ~spl7_36 | ~spl7_55, inference(sat_conversion,[],[f820])).
% 0.19/0.35 cnf(s62, plain, ~spl7_4 | ~spl7_8 | ~spl7_9 | spl7_11 | ~spl7_36, inference(sat_conversion,[],[f823])).
% 0.19/0.35 cnf(s68, plain, spl7_10, inference(rat,[],[s34,s3])).
% 0.19/0.35 cnf(s69, plain, spl7_36, inference(rat,[],[s31,s68])).
% 0.19/0.35 cnf(s70, plain, spl7_44, inference(rat,[],[s44,s68,s69])).
% 0.19/0.35 cnf(s71, plain, spl7_8, inference(rat,[],[s41,s70,s69])).
% 0.19/0.35 cnf(s73, plain, spl7_55, inference(rat,[],[s57,s68,s70])).
% 0.19/0.35 cnf(s75, plain, spl7_9, inference(rat,[],[s59,s73,s69,s4,s71])).
% 0.19/0.35 cnf(s78, plain, ~spl7_11, inference(rat,[],[s9,s71,s68,s75])).
% 0.19/0.35 cnf(s79, plain, $false, inference(rat,[],[s62,s69,s71,s4,s78,s75])).
% 0.19/0.35 thf(f826,plain,(
% 0.19/0.35 $false),
% 0.19/0.35 inference(avatar_sat_refutation,[],[s79])).
% 0.19/0.35 % SZS output end Proof for theBenchmark
% 0.19/0.35 % (4103999)------------------------------
% 0.19/0.35 % (4103999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.35 % (4103999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.35 % (4103999)CaDiCaL version: 2.1.3
% 0.19/0.35 % (4103999)Termination reason: Refutation
% 0.19/0.35 % (4103999)Time elapsed: 0.055 s
% 0.19/0.35 % (4103999)Peak memory usage: 13 MB
% 0.19/0.35 % (4103999)Instructions burned: 81 (million)
% 0.19/0.35 % (4103991)Success in time 0.126 s
% 0.19/0.35 % Vampire exiting
%------------------------------------------------------------------------------