%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP480-1 : 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 : n004.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 10:17:55 AM UTC 2026
% Result : Unsatisfiable 1.18s 0.64s
% Output : Refutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 126 ( 126 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,plain,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(divide(X1,X1),inverse(divide(divide(divide(X2,X2),X3),divide(X0,divide(X3,X4))))),divide(X5,X0))),X4) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X3,X3),X4),divide(X0,divide(X4,divide(X2,X5))))) = divide(inverse(divide(divide(divide(X1,X1),X2),X0)),X5),
inference(superposition,[],[f1,f1]) ).
fof(f32,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,X3)) = X2,
inference(superposition,[],[f1,f6]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(divide(divide(divide(X0,X0),X1),divide(divide(X2,X3),divide(X1,divide(inverse(divide(divide(divide(X4,X4),X5),divide(X3,divide(X5,X6)))),X6))))) = X2,
inference(superposition,[],[f5,f6]) ).
fof(f43,plain,
! [X2,X3,X0,X1] : inverse(divide(divide(divide(X0,X0),X1),divide(divide(X2,X3),divide(X1,X3)))) = X2,
inference(forward_demodulation,[],[f40,f1]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(X0,X3)),X4),divide(divide(X2,inverse(divide(divide(divide(X1,X1),X2),X0))),X4)) = X3,
inference(superposition,[],[f32,f32]) ).
fof(f81,plain,
! [X2,X3,X0,X4] : divide(divide(X0,X3),divide(X2,X3)) = divide(divide(X0,X4),divide(X2,X4)),
inference(superposition,[],[f32,f43]) ).
fof(f127,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(divide(divide(divide(X0,X1),divide(X2,X1)),X3)),X4),divide(divide(X2,X0),X4)) = X3,
inference(superposition,[],[f32,f81]) ).
fof(f139,plain,
! [X2,X3,X0,X1,X4] : divide(X2,X3) = divide(divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,X1))),X4),divide(X3,X4)),
inference(superposition,[],[f32,f81]) ).
fof(f684,plain,
! [X2,X3,X0,X1,X4] : divide(X0,X4) = divide(X0,divide(X1,inverse(divide(divide(divide(X2,X2),X1),divide(divide(X3,X3),X4))))),
inference(superposition,[],[f46,f139]) ).
fof(f870,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(X4,inverse(divide(divide(divide(X5,X5),X4),divide(divide(X6,X6),X3)))) = divide(divide(inverse(divide(divide(divide(X0,X1),divide(X2,X1)),X3)),X7),divide(divide(X2,X0),X7)),
inference(superposition,[],[f127,f684]) ).
fof(f879,plain,
! [X3,X6,X4,X5] : divide(X4,inverse(divide(divide(divide(X5,X5),X4),divide(divide(X6,X6),X3)))) = X3,
inference(forward_demodulation,[],[f870,f127]) ).
fof(f957,plain,
! [X2,X3,X0,X1] : divide(X3,inverse(divide(divide(divide(X0,X0),X1),divide(divide(X2,X2),X1)))) = X3,
inference(superposition,[],[f879,f81]) ).
fof(f1122,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(X0,X5),divide(X4,X5)) = divide(X0,divide(X4,inverse(divide(divide(divide(X1,X1),X2),divide(divide(X3,X3),X2))))),
inference(superposition,[],[f81,f957]) ).
fof(f1187,plain,
! [X0,X4,X5] : divide(X0,X4) = divide(divide(X0,X5),divide(X4,X5)),
inference(forward_demodulation,[],[f1122,f957]) ).
fof(f1264,plain,
! [X2,X0,X1] : inverse(divide(divide(divide(X2,X2),X1),divide(X0,X1))) = X0,
inference(superposition,[],[f43,f1187]) ).
fof(f1386,plain,
! [X2,X0] : inverse(divide(divide(X2,X2),X0)) = X0,
inference(forward_demodulation,[],[f1264,f1187]) ).
fof(f1426,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[],[f1386,f1187]) ).
fof(f1454,plain,
! [X3,X0,X1] : divide(divide(X0,X3),divide(divide(X1,X1),X3)) = X0,
inference(superposition,[],[f127,f1386]) ).
fof(f1457,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[],[f1454,f1187]) ).
fof(f2229,plain,
! [X0,X1] : divide(divide(X1,X1),X0) = inverse(X0),
inference(superposition,[],[f1426,f1457]) ).
fof(f2438,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(divide(divide(X4,X4),X2),X0)),X3) = inverse(inverse(divide(X0,divide(divide(X1,X1),divide(X2,X3))))),
inference(superposition,[],[f6,f2229]) ).
fof(f2500,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(divide(divide(X4,X4),X2),X0)),X3) = inverse(divide(divide(divide(X1,X1),divide(X2,X3)),X0)),
inference(forward_demodulation,[],[f2438,f1426]) ).
fof(f2628,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(divide(divide(X4,X4),X2),X0)),X3) = divide(X0,divide(divide(X1,X1),divide(X2,X3))),
inference(forward_demodulation,[],[f2500,f1426]) ).
fof(f2734,plain,
! [X2,X3,X0,X4] : divide(inverse(divide(divide(divide(X4,X4),X2),X0)),X3) = divide(X0,inverse(divide(X2,X3))),
inference(forward_demodulation,[],[f2628,f2229]) ).
fof(f2804,plain,
! [X2,X3,X0,X4] : divide(inverse(divide(divide(divide(X4,X4),X2),X0)),X3) = divide(X0,divide(X3,X2)),
inference(forward_demodulation,[],[f2734,f1426]) ).
fof(f2856,plain,
! [X2,X3,X0,X4] : divide(X0,divide(X3,X2)) = divide(divide(X0,divide(divide(X4,X4),X2)),X3),
inference(forward_demodulation,[],[f2804,f1426]) ).
fof(f2877,plain,
! [X2,X3,X0] : divide(X0,divide(X3,X2)) = divide(divide(X0,inverse(X2)),X3),
inference(forward_demodulation,[],[f2856,f2229]) ).
fof(f7366,plain,
divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,divide(inverse(c3),b3)),
inference(superposition,[],[f4,f2877]) ).
fof(f7383,plain,
divide(a3,divide(inverse(c3),b3)) != divide(a3,divide(inverse(c3),b3)),
inference(forward_demodulation,[],[f7366,f1426]) ).
fof(f7384,plain,
$false,
inference(trivial_inequality_removal,[],[f7383]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP480-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:05:38 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 1.18/0.64 % (3273947)Will run a generic schedule for satisfiability detection.
% 1.18/0.64 % (3273956)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2376936010:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.18/0.64 % (3273953)% WARNING: option uhcvi not known.
% 1.18/0.64 % (3273952)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2072788661_2999 on theBenchmark for (2999ds/0Mi)
% 1.18/0.64 % (3273953)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=798858696:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.18/0.64 % (3273954)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=599175518:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.18/0.64 % (3273955)dis+10_1_sil=32000:sp=arity:random_seed=3286532395:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.18/0.64 % (3273958)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2607316202:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.18/0.64 % (3273957)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3301003679:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.18/0.64 % TRYING [1]
% 1.18/0.64 % TRYING [2]
% 1.18/0.64 % TRYING [3]
% 1.18/0.64 % TRYING [4]
% 1.18/0.64 % (3273956)Instruction limit reached!
% 1.18/0.64 % (3273956)------------------------------
% 1.18/0.64 % (3273956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.64 % (3273956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.64 % (3273956)CaDiCaL version: 2.1.3
% 1.18/0.64 % (3273956)Termination reason: Instruction limit
% 1.18/0.64 % (3273956)Termination phase: Saturation
% 1.18/0.64 % (3273956)Time elapsed: 0.037 s
% 1.18/0.64 % (3273956)Peak memory usage: 12 MB
% 1.18/0.64 % (3273956)Instructions burned: 118 (million)
% 1.18/0.64 % (3273966)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2551513848:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.18/0.64 % TRYING [1]
% 1.18/0.64 % TRYING [2]
% 1.18/0.64 % TRYING [3]
% 1.18/0.64 % TRYING [4]
% 1.18/0.64 % (3273955)Instruction limit reached!
% 1.18/0.64 % (3273955)------------------------------
% 1.18/0.64 % (3273955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.64 % (3273955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.64 % (3273955)CaDiCaL version: 2.1.3
% 1.18/0.64 % (3273955)Termination reason: Instruction limit
% 1.18/0.64 % (3273955)Termination phase: Saturation
% 1.18/0.64 % (3273955)Time elapsed: 0.057 s
% 1.18/0.64 % (3273955)Peak memory usage: 12 MB
% 1.18/0.64 % (3273955)Instructions burned: 103 (million)
% 1.18/0.64 % (3273973)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3931834550:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.18/0.64 % (3273957)Instruction limit reached!
% 1.18/0.64 % (3273957)------------------------------
% 1.18/0.64 % (3273957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.64 % (3273957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.64 % (3273957)CaDiCaL version: 2.1.3
% 1.18/0.64 % (3273957)Termination reason: Instruction limit
% 1.18/0.64 % (3273957)Termination phase: Saturation
% 1.18/0.64 % (3273957)Time elapsed: 0.079 s
% 1.18/0.64 % (3273957)Peak memory usage: 13 MB
% 1.18/0.64 % (3273957)Instructions burned: 132 (million)
% 1.18/0.64 % TRYING [5]
% 1.18/0.64 % (3273958)Instruction limit reached!
% 1.18/0.64 % (3273958)------------------------------
% 1.18/0.64 % (3273958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.64 % (3273958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.64 % (3273958)CaDiCaL version: 2.1.3
% 1.18/0.64 % (3273958)Termination reason: Instruction limit
% 1.18/0.64 % (3273958)Termination phase: Saturation
% 1.18/0.64 % (3273958)Time elapsed: 0.096 s
% 1.18/0.64 % (3273958)Peak memory usage: 13 MB
% 1.18/0.64 % (3273958)Instructions burned: 159 (million)
% 1.18/0.64 % (3273983)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3619290559:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.18/0.64 % TRYING [5]
% 1.18/0.64 % (3273984)ott-21_1_sil=16000:fs=off:random_seed=423450811:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.18/0.64 % (3273973)Instruction limit reached!
% 1.18/0.64 % (3273973)------------------------------
% 1.18/0.64 % (3273973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.64 % (3273973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.64 % (3273973)CaDiCaL version: 2.1.3
% 1.18/0.64 % (3273973)Termination reason: Instruction limit
% 1.18/0.64 % (3273973)Termination phase: Saturation
% 1.18/0.64 % (3273973)Time elapsed: 0.094 s
% 1.18/0.64 % (3273973)Peak memory usage: 13 MB
% 1.18/0.64 % (3273973)Instructions burned: 132 (million)
% 1.18/0.64 % (3273954) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3273947-3273954"...
% 1.18/0.64 % (3273954)...printing done.
% 1.18/0.64 % (3273954)Refutation found. Thanks to Tanya!
% 1.18/0.64 % SZS status Unsatisfiable for theBenchmark
% 1.18/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.18/0.64 % (3273954)------------------------------
% 1.18/0.64 % (3273954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.18/0.64 % (3273954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.64 % (3273954)CaDiCaL version: 2.1.3
% 1.18/0.64 % (3273954)Termination reason: Refutation
% 1.18/0.64 % (3273954)Time elapsed: 0.185 s
% 1.18/0.64 % (3273954)Peak memory usage: 15 MB
% 1.18/0.64 % (3273954)Instructions burned: 320 (million)
% 1.18/0.64 % (3273947)Success in time 0.219 s
% 1.18/0.64 % Vampire exiting
%------------------------------------------------------------------------------