%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP473-1 : 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 10:17:54 AM UTC 2026
% Result : Unsatisfiable 0.84s 0.59s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 110 ( 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(X0,X1)),divide(divide(X2,X3),X0)),divide(X3,X2)) = X1,
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(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f4,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)),
inference(definition_unfolding,[],[f4,f2,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X3,X2) = divide(divide(inverse(X0),divide(divide(X4,X5),divide(inverse(divide(X1,X0)),divide(divide(X2,X3),X1)))),divide(X5,X4)),
inference(superposition,[],[f1,f1]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4,X5] : divide(divide(inverse(divide(X1,X2)),divide(divide(divide(X3,X4),divide(inverse(divide(X5,X0)),divide(divide(X4,X3),X5))),X1)),X0) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : divide(divide(X2,X3),divide(inverse(X4),divide(divide(X3,X2),divide(inverse(divide(X5,X4)),divide(divide(X1,X0),X5))))) = divide(divide(inverse(X6),divide(divide(X7,X8),divide(inverse(divide(X9,X6)),divide(divide(X0,X1),X9)))),divide(X8,X7)),
inference(superposition,[],[f6,f6]) ).
fof(f50,plain,
! [X2,X3,X0,X1,X4,X5] : divide(X1,X0) = divide(divide(X2,X3),divide(inverse(X4),divide(divide(X3,X2),divide(inverse(divide(X5,X4)),divide(divide(X1,X0),X5))))),
inference(forward_demodulation,[],[f32,f6]) ).
fof(f154,plain,
! [X0,X6,X7,X4,X5] : divide(divide(X4,X5),divide(inverse(X6),divide(divide(X5,X4),divide(inverse(divide(X7,X6)),divide(X0,X7))))) = X0,
inference(superposition,[],[f50,f1]) ).
fof(f272,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(divide(inverse(divide(divide(inverse(X1),divide(divide(divide(inverse(divide(X2,X3)),divide(divide(X4,X5),X2)),divide(X5,X4)),divide(inverse(divide(X6,X1)),divide(X0,X6)))),X7)),X0),X3) = X7,
inference(superposition,[],[f9,f154]) ).
fof(f273,plain,
! [X3,X0,X1,X6,X7] : divide(divide(inverse(divide(divide(inverse(X1),divide(X3,divide(inverse(divide(X6,X1)),divide(X0,X6)))),X7)),X0),X3) = X7,
inference(forward_demodulation,[],[f272,f1]) ).
fof(f366,plain,
! [X3,X0,X1,X4] : divide(X4,X3) = divide(divide(inverse(divide(X0,X1)),divide(X1,X0)),divide(X3,X4)),
inference(superposition,[],[f273,f6]) ).
fof(f458,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : divide(divide(inverse(X4),divide(divide(X5,X6),divide(inverse(divide(X7,X4)),divide(divide(X0,X1),X7)))),divide(X6,X5)) = divide(divide(X1,X0),divide(inverse(divide(X2,X3)),divide(X3,X2))),
inference(superposition,[],[f6,f366]) ).
fof(f495,plain,
! [X2,X3,X0,X1] : divide(X1,X0) = divide(divide(X1,X0),divide(inverse(divide(X2,X3)),divide(X3,X2))),
inference(forward_demodulation,[],[f458,f6]) ).
fof(f606,plain,
! [X0,X4,X5] : divide(X0,divide(inverse(divide(X4,X5)),divide(X5,X4))) = X0,
inference(superposition,[],[f495,f1]) ).
fof(f655,plain,
! [X2,X0,X1] : divide(divide(X1,X0),divide(inverse(X2),divide(X0,X1))) = X2,
inference(superposition,[],[f154,f495]) ).
fof(f768,plain,
! [X2,X0,X1] : divide(X2,inverse(divide(divide(X0,X1),inverse(divide(X1,X0))))) = X2,
inference(superposition,[],[f606,f606]) ).
fof(f790,plain,
! [X3,X0,X1] : divide(divide(inverse(divide(divide(inverse(X1),X0),X3)),X1),X0) = X3,
inference(superposition,[],[f273,f606]) ).
fof(f899,plain,
! [X2,X0,X1] : divide(divide(X2,X0),divide(inverse(X1),divide(X0,X1))) = X2,
inference(superposition,[],[f154,f655]) ).
fof(f1382,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(inverse(X1),inverse(divide(divide(X2,X3),inverse(divide(X3,X2))))),X0)),X1) = X0,
inference(superposition,[],[f768,f790]) ).
fof(f1383,plain,
! [X0,X1] : divide(inverse(divide(inverse(X1),X0)),X1) = X0,
inference(forward_demodulation,[],[f1382,f768]) ).
fof(f1393,plain,
! [X0,X1] : divide(inverse(X0),divide(inverse(X1),X0)) = X1,
inference(superposition,[],[f1383,f1383]) ).
fof(f1461,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[],[f1393,f606]) ).
fof(f1462,plain,
! [X0,X1] : divide(divide(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f899,f1393]) ).
fof(f1674,plain,
! [X2,X0,X1] : divide(X1,divide(inverse(divide(X2,divide(X0,inverse(X2)))),X0)) = X1,
inference(superposition,[],[f606,f1462]) ).
fof(f1728,plain,
! [X2,X0,X1] : divide(X1,divide(divide(divide(X0,inverse(X2)),X2),X0)) = X1,
inference(forward_demodulation,[],[f1674,f1461]) ).
fof(f1786,plain,
! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
inference(forward_demodulation,[],[f1728,f1462]) ).
fof(f1825,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f1786,f1393]) ).
fof(f1922,plain,
! [X2,X0,X1] : divide(divide(inverse(divide(inverse(X0),X1)),X0),X1) = divide(X2,X2),
inference(superposition,[],[f790,f1786]) ).
fof(f1935,plain,
! [X2,X1] : divide(X1,X1) = divide(X2,X2),
inference(forward_demodulation,[],[f1922,f1383]) ).
fof(f2201,plain,
! [X0] : a2 != divide(divide(X0,X0),inverse(a2)),
inference(superposition,[],[f5,f1935]) ).
fof(f2474,plain,
a2 != inverse(inverse(a2)),
inference(superposition,[],[f2201,f1462]) ).
fof(f2475,plain,
$false,
inference(forward_subsumption_resolution,[],[f2474,f1825]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP473-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n001.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:11:30 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 0.84/0.59 % (3326529)Will run a generic schedule for satisfiability detection.
% 0.84/0.59 % (3326537)dis+10_1_sil=32000:sp=arity:random_seed=1278554858:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.84/0.59 % (3326535)% WARNING: option uhcvi not known.
% 0.84/0.59 % (3326536)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=738387955:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.84/0.59 % (3326535)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4202945603:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.84/0.59 % (3326534)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1444834675_2999 on theBenchmark for (2999ds/0Mi)
% 0.84/0.59 % (3326538)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=68423845:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.84/0.59 % TRYING [1]
% 0.84/0.59 % TRYING [2]
% 0.84/0.59 % TRYING [3]
% 0.84/0.59 % (3326539)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2960201012:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.84/0.59 % (3326540)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3853170972:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.84/0.59 % TRYING [4]
% 0.84/0.59 % (3326537)Instruction limit reached!
% 0.84/0.59 % (3326537)------------------------------
% 0.84/0.59 % (3326537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.59 % (3326537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.59 % (3326537)CaDiCaL version: 2.1.3
% 0.84/0.59 % (3326537)Termination reason: Instruction limit
% 0.84/0.59 % (3326537)Termination phase: Saturation
% 0.84/0.59 % (3326537)Time elapsed: 0.029 s
% 0.84/0.59 % (3326537)Peak memory usage: 12 MB
% 0.84/0.59 % (3326537)Instructions burned: 103 (million)
% 0.84/0.59 % (3326548)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2891635644:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.84/0.59 % TRYING [1]
% 0.84/0.59 % TRYING [2]
% 0.84/0.59 % TRYING [3]
% 0.84/0.59 % TRYING [4]
% 0.84/0.59 % (3326538)Instruction limit reached!
% 0.84/0.59 % (3326538)------------------------------
% 0.84/0.59 % (3326538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.59 % (3326538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.59 % (3326538)CaDiCaL version: 2.1.3
% 0.84/0.59 % (3326538)Termination reason: Instruction limit
% 0.84/0.59 % (3326538)Termination phase: Saturation
% 0.84/0.59 % (3326538)Time elapsed: 0.070 s
% 0.84/0.59 % (3326538)Peak memory usage: 13 MB
% 0.84/0.59 % (3326538)Instructions burned: 116 (million)
% 0.84/0.59 % (3326539)Instruction limit reached!
% 0.84/0.59 % (3326539)------------------------------
% 0.84/0.59 % (3326539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.59 % (3326539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.59 % (3326539)CaDiCaL version: 2.1.3
% 0.84/0.59 % (3326539)Termination reason: Instruction limit
% 0.84/0.59 % (3326539)Termination phase: Saturation
% 0.84/0.59 % (3326539)Time elapsed: 0.077 s
% 0.84/0.59 % (3326539)Peak memory usage: 14 MB
% 0.84/0.59 % (3326539)Instructions burned: 132 (million)
% 0.84/0.59 % (3326551)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2954930854:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.84/0.59 % (3326556)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=2966938178:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.84/0.59 % (3326536) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3326529-3326536"...
% 0.84/0.59 % (3326536)...printing done.
% 0.84/0.59 % (3326536)Refutation found. Thanks to Tanya!
% 0.84/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.84/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.84/0.59 % (3326536)------------------------------
% 0.84/0.59 % (3326536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.59 % (3326536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.59 % (3326536)CaDiCaL version: 2.1.3
% 0.84/0.59 % (3326536)Termination reason: Refutation
% 0.84/0.59 % (3326536)Time elapsed: 0.106 s
% 0.84/0.59 % (3326536)Peak memory usage: 14 MB
% 0.84/0.59 % (3326536)Instructions burned: 206 (million)
% 0.84/0.59 % (3326529)Success in time 0.152 s
% 0.84/0.59 % Vampire exiting
%------------------------------------------------------------------------------