%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP190-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 : Tue Sep 29 10:13:17 AM UTC 2026
% Result : Unsatisfiable 11.06s 2.73s
% Output : Refutation 11.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_glb) ).
fof(f6,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_lub) ).
fof(f11,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lub_absorbtion) ).
fof(f12,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',glb_absorbtion) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_lub1) ).
fof(f15,axiom,
! [X2,X0,X1] : multiply(least_upper_bound(X0,X1),X2) = least_upper_bound(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_lub2) ).
fof(f17,axiom,
least_upper_bound(a,b) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39a_1) ).
fof(f18,plain,
a = least_upper_bound(a,b),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
least_upper_bound(inverse(a),inverse(b)) != inverse(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p39a) ).
fof(f20,plain,
inverse(b) != least_upper_bound(inverse(a),inverse(b)),
inference(reorient_equations,[],[f19]) ).
fof(f22,plain,
! [X0,X1] : least_upper_bound(X1,greatest_lower_bound(X0,X1)) = X1,
inference(superposition,[],[f11,f5]) ).
fof(f26,plain,
! [X0,X1] : greatest_lower_bound(X1,least_upper_bound(X0,X1)) = X1,
inference(superposition,[],[f12,f6]) ).
fof(f74,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f77,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f74,f1]) ).
fof(f80,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f77,f3]) ).
fof(f89,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f77,f80]) ).
fof(f106,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f77,f89]) ).
fof(f110,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f106,f80]) ).
fof(f134,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f80,f110]) ).
fof(f314,plain,
! [X0,X1] : multiply(inverse(X0),least_upper_bound(X0,X1)) = least_upper_bound(identity,multiply(inverse(X0),X1)),
inference(superposition,[],[f13,f3]) ).
fof(f611,plain,
! [X0,X1] : multiply(least_upper_bound(inverse(X0),X1),X0) = least_upper_bound(identity,multiply(X1,X0)),
inference(superposition,[],[f15,f3]) ).
fof(f3938,plain,
! [X0,X1] : multiply(inverse(X0),X0) = least_upper_bound(identity,multiply(greatest_lower_bound(X1,inverse(X0)),X0)),
inference(superposition,[],[f611,f22]) ).
fof(f3990,plain,
! [X0,X1] : identity = least_upper_bound(identity,multiply(greatest_lower_bound(X1,inverse(X0)),X0)),
inference(forward_demodulation,[],[f3938,f3]) ).
fof(f4009,plain,
! [X0,X1] : identity = least_upper_bound(identity,multiply(greatest_lower_bound(X1,X0),inverse(X0))),
inference(superposition,[],[f3990,f110]) ).
fof(f4155,plain,
! [X0,X1] : identity = least_upper_bound(identity,multiply(X0,inverse(least_upper_bound(X1,X0)))),
inference(superposition,[],[f4009,f26]) ).
fof(f8454,plain,
! [X0,X1] : least_upper_bound(X0,X1) = multiply(inverse(inverse(X0)),least_upper_bound(identity,multiply(inverse(X0),X1))),
inference(superposition,[],[f77,f314]) ).
fof(f8510,plain,
! [X0,X1] : least_upper_bound(X0,X1) = multiply(X0,least_upper_bound(identity,multiply(inverse(X0),X1))),
inference(forward_demodulation,[],[f8454,f110]) ).
fof(f28643,plain,
! [X0,X1] : multiply(X0,identity) = least_upper_bound(X0,inverse(least_upper_bound(X1,inverse(X0)))),
inference(superposition,[],[f8510,f4155]) ).
fof(f28777,plain,
! [X0,X1] : least_upper_bound(X0,inverse(least_upper_bound(X1,inverse(X0)))) = X0,
inference(forward_demodulation,[],[f28643,f134]) ).
fof(f28898,plain,
! [X0,X1] : inverse(X0) = least_upper_bound(inverse(X0),inverse(least_upper_bound(X1,X0))),
inference(superposition,[],[f28777,f110]) ).
fof(f29968,plain,
inverse(b) = least_upper_bound(inverse(b),inverse(a)),
inference(superposition,[],[f28898,f18]) ).
fof(f30050,plain,
inverse(b) = least_upper_bound(inverse(a),inverse(b)),
inference(forward_demodulation,[],[f29968,f6]) ).
fof(f30124,plain,
$false,
inference(forward_subsumption_resolution,[],[f30050,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP190-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n001.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 09:42:30 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.06/2.73 % (3302754)Detected a unit-equality problem, will run specialized UEQ schedule.
% 11.06/2.73 % (3302761)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3164614544:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 11.06/2.73 % (3302765)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3601413116:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 11.06/2.73 % (3302760)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1783603835:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 11.06/2.73 % (3302759)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3445590489:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 11.06/2.73 % (3302763)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2631629957:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 11.06/2.73 % (3302762)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3400616617:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 11.06/2.73 % (3302764)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4123728585:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 11.06/2.73 % (3302762)Instruction limit reached!
% 11.06/2.73 % (3302762)------------------------------
% 11.06/2.73 % (3302762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.06/2.73 % (3302762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.06/2.73 % (3302762)CaDiCaL version: 2.1.3
% 11.06/2.73 % (3302762)Termination reason: Instruction limit
% 11.06/2.73 % (3302762)Termination phase: Saturation
% 11.06/2.73 % (3302762)Time elapsed: 0.134 s
% 11.06/2.73 % (3302762)Peak memory usage: 89 MB
% 11.06/2.73 % (3302762)Instructions burned: 136 (million)
% 11.06/2.73 % (3302763)Instruction limit reached!
% 11.06/2.73 % (3302763)------------------------------
% 11.06/2.73 % (3302763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.06/2.73 % (3302763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.06/2.73 % (3302763)CaDiCaL version: 2.1.3
% 11.06/2.73 % (3302763)Termination reason: Instruction limit
% 11.06/2.73 % (3302763)Termination phase: Saturation
% 11.06/2.73 % (3302763)Time elapsed: 0.167 s
% 11.06/2.73 % (3302763)Peak memory usage: 89 MB
% 11.06/2.73 % (3302763)Instructions burned: 182 (million)
% 11.06/2.73 % (3302764)Instruction limit reached!
% 11.06/2.73 % (3302764)------------------------------
% 11.06/2.73 % (3302764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.06/2.73 % (3302764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.06/2.73 % (3302764)CaDiCaL version: 2.1.3
% 11.06/2.73 % (3302764)Termination reason: Instruction limit
% 11.06/2.73 % (3302764)Termination phase: Saturation
% 11.06/2.73 % (3302764)Time elapsed: 0.271 s
% 11.06/2.73 % (3302764)Peak memory usage: 91 MB
% 11.06/2.73 % (3302764)Instructions burned: 258 (million)
% 11.06/2.73 % (3302773)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=529332387:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 11.06/2.73 % (3302774)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1134798048:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 11.06/2.73 % (3302775)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1478086920:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 11.06/2.73 % (3302775)Instruction limit reached!
% 11.06/2.73 % (3302775)------------------------------
% 11.06/2.73 % (3302775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.06/2.73 % (3302775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.06/2.73 % (3302775)CaDiCaL version: 2.1.3
% 11.06/2.73 % (3302775)Termination reason: Instruction limit
% 11.06/2.73 % (3302775)Termination phase: Saturation
% 11.06/2.73 % (3302775)Time elapsed: 0.197 s
% 11.06/2.73 % (3302775)Peak memory usage: 92 MB
% 11.06/2.73 % (3302775)Instructions burned: 215 (million)
% 11.06/2.73 % (3302765)First to succeed.
% 11.06/2.73 % (3302765)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3302754"
% 11.06/2.73 % (3302761)Also succeeded, but the first one will report.
% 11.06/2.73 % (3302760)Also succeeded, but the first one will report.
% 11.06/2.73 % (3302779)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=525459517:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 11.06/2.73 % (3302765)Refutation found. Thanks to Tanya!
% 11.06/2.73 % SZS status Unsatisfiable for theBenchmark
% 11.06/2.73 % SZS output start Proof for theBenchmark
% See solution above
% 11.06/2.73 % (3302765)------------------------------
% 11.06/2.73 % (3302765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.06/2.73 % (3302765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.06/2.73 % (3302765)CaDiCaL version: 2.1.3
% 11.06/2.73 % (3302765)Termination reason: Refutation
% 11.06/2.73 % (3302765)Time elapsed: 0.851 s
% 11.06/2.73 % (3302765)Peak memory usage: 97 MB
% 11.06/2.73 % (3302765)Instructions burned: 962 (million)
% 11.06/2.73 % (3302765)------------------------------
% 11.06/2.73 % (3302765)------------------------------
% 11.06/2.73 % (3302754)Success in time 1.457 s
% 11.06/2.73 % Vampire exiting
%------------------------------------------------------------------------------