%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP543-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 10:18:04 AM UTC 2026
% Result : Unsatisfiable 0.58s 0.50s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f6,plain,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(b3,divide(identity,c3)))),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).
fof(f7,plain,
! [X0,X1] : divide(divide(identity,divide(divide(identity,X1),X0)),X1) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f10,plain,
! [X0,X1] : divide(divide(identity,divide(identity,X0)),divide(X0,X1)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f11,plain,
! [X0] : divide(divide(identity,divide(identity,X0)),identity) = X0,
inference(superposition,[],[f7,f4]) ).
fof(f13,plain,
! [X0,X1] : divide(divide(identity,X0),divide(divide(identity,X1),X0)) = X1,
inference(superposition,[],[f7,f7]) ).
fof(f22,plain,
! [X0] : divide(divide(identity,identity),divide(identity,X0)) = X0,
inference(superposition,[],[f10,f4]) ).
fof(f29,plain,
! [X0,X1] : divide(X1,X0) = divide(divide(identity,X0),divide(identity,X1)),
inference(superposition,[],[f7,f10]) ).
fof(f33,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f22,f4]) ).
fof(f35,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(superposition,[],[f10,f33]) ).
fof(f36,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f11,f33]) ).
fof(f56,plain,
! [X0,X1] : divide(identity,divide(divide(divide(X0,X1),identity),X0)) = X1,
inference(superposition,[],[f1,f36]) ).
fof(f57,plain,
! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[],[f56,f36]) ).
fof(f84,plain,
! [X0,X1] : divide(X1,X0) = divide(identity,divide(X0,X1)),
inference(superposition,[],[f57,f35]) ).
fof(f95,plain,
! [X0,X1] : divide(identity,X0) = divide(divide(X1,X0),X1),
inference(superposition,[],[f33,f57]) ).
fof(f313,plain,
! [X0,X1] : divide(divide(identity,X0),X1) = divide(divide(identity,divide(identity,divide(identity,X1))),X0),
inference(superposition,[],[f10,f13]) ).
fof(f322,plain,
! [X0,X1] : divide(divide(identity,X1),X0) = divide(divide(identity,X0),X1),
inference(forward_demodulation,[],[f313,f35]) ).
fof(f332,plain,
! [X0,X1] : divide(X0,divide(identity,X1)) = divide(X1,divide(identity,X0)),
inference(superposition,[],[f29,f33]) ).
fof(f687,plain,
! [X2,X0,X1] : divide(divide(identity,divide(divide(X0,divide(identity,divide(X1,X2))),X1)),divide(identity,X0)) = X2,
inference(superposition,[],[f1,f332]) ).
fof(f690,plain,
! [X2,X0,X1] : divide(X0,divide(identity,divide(identity,divide(divide(X0,divide(identity,divide(X1,X2))),X1)))) = X2,
inference(forward_demodulation,[],[f687,f332]) ).
fof(f795,plain,
! [X2,X0,X1] : divide(X0,divide(divide(X0,divide(identity,divide(X1,X2))),X1)) = X2,
inference(forward_demodulation,[],[f690,f35]) ).
fof(f851,plain,
! [X2,X0,X1] : divide(X0,divide(divide(X0,divide(X2,X1)),X1)) = X2,
inference(forward_demodulation,[],[f795,f84]) ).
fof(f1046,plain,
! [X2,X0,X1] : divide(divide(identity,divide(divide(identity,divide(X1,X2)),X0)),divide(X0,X2)) = X1,
inference(superposition,[],[f851,f7]) ).
fof(f1148,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X0,X2)),divide(divide(identity,divide(X1,X2)),X0)) = X1,
inference(forward_demodulation,[],[f1046,f322]) ).
fof(f1180,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X0,X2)),divide(divide(X2,X1),X0)) = X1,
inference(forward_demodulation,[],[f1148,f84]) ).
fof(f1192,plain,
! [X2,X0,X1] : divide(divide(X2,X0),divide(divide(X2,X1),X0)) = X1,
inference(forward_demodulation,[],[f1180,f84]) ).
fof(f1562,plain,
! [X2,X0,X1] : divide(X0,divide(X1,X2)) = divide(identity,divide(divide(X1,X0),X2)),
inference(superposition,[],[f95,f1192]) ).
fof(f1571,plain,
! [X2,X0,X1] : divide(X0,divide(X1,X2)) = divide(X2,divide(X1,X0)),
inference(forward_demodulation,[],[f1562,f84]) ).
fof(f3259,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(c3,divide(identity,divide(a3,divide(identity,b3)))),
inference(superposition,[],[f6,f1571]) ).
fof(f3308,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(c3,divide(divide(identity,b3),a3)),
inference(forward_demodulation,[],[f3259,f84]) ).
fof(f3475,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(a3,divide(divide(identity,b3),c3)),
inference(forward_demodulation,[],[f3308,f1571]) ).
fof(f3530,plain,
divide(a3,divide(divide(identity,c3),b3)) != divide(a3,divide(divide(identity,b3),c3)),
inference(forward_demodulation,[],[f3475,f84]) ).
fof(f3548,plain,
divide(a3,divide(divide(identity,b3),c3)) != divide(a3,divide(divide(identity,b3),c3)),
inference(forward_demodulation,[],[f3530,f322]) ).
fof(f3549,plain,
$false,
inference(trivial_inequality_removal,[],[f3548]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP543-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:13:00 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.50 % (3331626)Will run a generic schedule for satisfiability detection.
% 0.58/0.50 % (3331637)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=245397437:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.58/0.50 % (3331632)% WARNING: option uhcvi not known.
% 0.58/0.50 % (3331632)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4066159634:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.58/0.50 % (3331633)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1943152680:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.58/0.50 % (3331635)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2749400544:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.58/0.50 % (3331634)dis+10_1_sil=32000:sp=arity:random_seed=2459199056:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.58/0.50 % (3331636)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1693403831:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.58/0.50 % (3331631)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4046209003_2999 on theBenchmark for (2999ds/0Mi)
% 0.58/0.50 % TRYING [1]
% 0.58/0.50 % TRYING [2]
% 0.58/0.50 % TRYING [3]
% 0.58/0.50 % TRYING [4]
% 0.58/0.50 % TRYING [5]
% 0.58/0.50 % (3331637)Instruction limit reached!
% 0.58/0.50 % (3331637)------------------------------
% 0.58/0.50 % (3331637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.50 % (3331637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.50 % (3331637)CaDiCaL version: 2.1.3
% 0.58/0.50 % (3331637)Termination reason: Instruction limit
% 0.58/0.50 % (3331637)Termination phase: Saturation
% 0.58/0.50 % (3331637)Time elapsed: 0.051 s
% 0.58/0.50 % (3331637)Peak memory usage: 12 MB
% 0.58/0.50 % (3331637)Instructions burned: 161 (million)
% 0.58/0.50 % (3331645)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3519813756:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.58/0.50 % TRYING [1]
% 0.58/0.50 % TRYING [2]
% 0.58/0.50 % TRYING [3]
% 0.58/0.50 % (3331634)Instruction limit reached!
% 0.58/0.50 % (3331634)------------------------------
% 0.58/0.50 % (3331634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.50 % (3331634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.50 % (3331634)CaDiCaL version: 2.1.3
% 0.58/0.50 % (3331634)Termination reason: Instruction limit
% 0.58/0.50 % (3331634)Termination phase: Saturation
% 0.58/0.50 % (3331634)Time elapsed: 0.055 s
% 0.58/0.50 % (3331634)Peak memory usage: 11 MB
% 0.58/0.50 % (3331634)Instructions burned: 105 (million)
% 0.58/0.50 % TRYING [4]
% 0.58/0.50 % TRYING [5]
% 0.58/0.50 % (3331633) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3331626-3331633"...
% 0.58/0.50 % TRYING [6]
% 0.58/0.50 % (3331635)Instruction limit reached!
% 0.58/0.50 % (3331635)------------------------------
% 0.58/0.50 % (3331635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.50 % (3331635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.50 % (3331635)CaDiCaL version: 2.1.3
% 0.58/0.50 % (3331635)Termination reason: Instruction limit
% 0.58/0.50 % (3331635)Termination phase: Saturation
% 0.58/0.50 % (3331635)Time elapsed: 0.066 s
% 0.58/0.50 % (3331635)Peak memory usage: 12 MB
% 0.58/0.50 % (3331635)Instructions burned: 117 (million)
% 0.58/0.50 % (3331633)...printing done.
% 0.58/0.50 % (3331633)Refutation found. Thanks to Tanya!
% 0.58/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.58/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.50 % (3331633)------------------------------
% 0.58/0.50 % (3331633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.50 % (3331633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.50 % (3331633)CaDiCaL version: 2.1.3
% 0.58/0.50 % (3331633)Termination reason: Refutation
% 0.58/0.50 % (3331633)Time elapsed: 0.066 s
% 0.58/0.50 % (3331633)Peak memory usage: 12 MB
% 0.58/0.50 % (3331633)Instructions burned: 122 (million)
% 0.58/0.50 % (3331626)Success in time 0.099 s
% 0.58/0.50 % Vampire exiting
%------------------------------------------------------------------------------