TSTP Solution File: GRP502-1 by Vampire-SAT---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : GRP502-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 07:24:03 EDT 2024
% Result : Unsatisfiable 7.00s 1.37s
% Output : Refutation 7.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1558,plain,
$false,
inference(subsumption_resolution,[],[f1476,f1475]) ).
fof(f1475,plain,
! [X0] : ~ sP0(inverse(double_divide(X0,inverse(X0)))),
inference(superposition,[],[f5,f1405]) ).
fof(f1405,plain,
! [X2,X0] : double_divide(X0,inverse(X0)) = double_divide(X2,inverse(X2)),
inference(superposition,[],[f354,f1002]) ).
fof(f1002,plain,
! [X2,X3,X1] : double_divide(inverse(X3),inverse(double_divide(double_divide(double_divide(X2,inverse(X1)),X2),X1))) = X3,
inference(superposition,[],[f479,f943]) ).
fof(f943,plain,
! [X2,X3,X4] : inverse(double_divide(X2,double_divide(X3,X2))) = double_divide(double_divide(X4,inverse(X3)),X4),
inference(forward_demodulation,[],[f916,f882]) ).
fof(f882,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(X1,inverse(double_divide(X0,inverse(X0)))),X1)),inverse(double_divide(X2,double_divide(X3,X2)))) = X3,
inference(superposition,[],[f506,f190]) ).
fof(f190,plain,
! [X2,X0,X1,X4] : double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0),X4))),X2) = X4,
inference(superposition,[],[f1,f115]) ).
fof(f115,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0)),inverse(double_divide(X3,double_divide(inverse(X1),X3)))) = X2,
inference(superposition,[],[f82,f1]) ).
fof(f82,plain,
! [X2,X3,X1,X6,X4] : double_divide(inverse(X4),inverse(double_divide(X6,double_divide(X3,X6)))) = double_divide(X2,double_divide(X3,inverse(double_divide(X4,double_divide(X1,double_divide(X2,X1)))))),
inference(superposition,[],[f49,f7]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3)))) = double_divide(double_divide(X4,inverse(X2)),double_divide(inverse(double_divide(X0,inverse(double_divide(X1,X2)))),inverse(double_divide(X5,double_divide(X4,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f49,plain,
! [X2,X3,X0,X1,X4] : double_divide(X2,X1) = double_divide(double_divide(inverse(X0),inverse(double_divide(X3,double_divide(X2,X3)))),double_divide(inverse(X1),inverse(double_divide(X4,double_divide(inverse(X0),X4))))),
inference(superposition,[],[f1,f22]) ).
fof(f22,plain,
! [X2,X3,X6,X5] : double_divide(inverse(X3),inverse(double_divide(X5,double_divide(X2,X5)))) = double_divide(inverse(X3),inverse(double_divide(X6,double_divide(X2,X6)))),
inference(superposition,[],[f7,f7]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f506,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),X0),inverse(double_divide(X2,double_divide(X3,X2)))) = X3,
inference(superposition,[],[f223,f479]) ).
fof(f223,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(double_divide(double_divide(X1,inverse(double_divide(X0,inverse(X0)))),X1)),inverse(double_divide(X2,X3))),X2) = X3,
inference(superposition,[],[f190,f190]) ).
fof(f916,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(X2,double_divide(X3,X2))) = double_divide(double_divide(X4,inverse(X3)),double_divide(inverse(double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),X0)),inverse(double_divide(X5,double_divide(X4,X5))))),
inference(superposition,[],[f1,f506]) ).
fof(f479,plain,
! [X2,X3,X7] : double_divide(inverse(X7),inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),X3))) = X7,
inference(backward_demodulation,[],[f346,f455]) ).
fof(f455,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(double_divide(X4,inverse(X3)),double_divide(inverse(double_divide(X0,inverse(double_divide(double_divide(double_divide(X1,inverse(double_divide(X2,inverse(X2)))),X1),X3)))),inverse(double_divide(X5,double_divide(X4,X5))))) = X0,
inference(superposition,[],[f1,f354]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : double_divide(inverse(X7),inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X2))),double_divide(double_divide(X4,inverse(X5)),double_divide(inverse(double_divide(X3,inverse(double_divide(double_divide(double_divide(X0,inverse(double_divide(X1,inverse(X1)))),X0),X5)))),inverse(double_divide(X6,double_divide(X4,X6)))))))) = X7,
inference(superposition,[],[f233,f7]) ).
fof(f233,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),inverse(double_divide(X3,double_divide(inverse(double_divide(double_divide(X1,inverse(double_divide(X0,inverse(X0)))),X1)),X3)))) = X2,
inference(superposition,[],[f115,f190]) ).
fof(f354,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(double_divide(double_divide(X1,inverse(double_divide(X2,inverse(X2)))),X1),X3))),X0) = X3,
inference(superposition,[],[f233,f115]) ).
fof(f5,plain,
~ sP0(inverse(double_divide(a1,inverse(a1)))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1476,plain,
! [X0] : sP0(inverse(double_divide(X0,inverse(X0)))),
inference(superposition,[],[f6,f1405]) ).
fof(f6,plain,
sP0(inverse(double_divide(b1,inverse(b1)))),
inference(inequality_splitting,[],[f4,f5]) ).
fof(f4,plain,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP502-1 : TPTP v8.2.0. Released v2.6.0.
% 0.00/0.10 % Command : run_vampire %s %d SAT
% 0.10/0.31 % Computer : n001.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu Jun 20 06:54:53 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.32 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.32 Running first-order model finding
% 0.15/0.32 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39 % (14236)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.39 % (14237)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.18/0.39 % (14236)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.39 % (14240)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.18/0.39 % (14236)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.39 % (14242)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.18/0.39 % (14236)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.39 % (14238)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.18/0.39 % (14236)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.39 % (14241)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.18/0.39 % (14236)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.39 % (14239)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.18/0.39 % (14236)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.39 % (14243)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.18/0.39 TRYING [1]
% 0.18/0.39 TRYING [2]
% 0.18/0.39 TRYING [3]
% 0.18/0.40 TRYING [10]
% 0.18/0.40 TRYING [4]
% 0.18/0.44 % (14241)Instruction limit reached!
% 0.18/0.44 % (14241)------------------------------
% 0.18/0.44 % (14241)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.44 % (14241)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.44 % (14241)Termination reason: Time limit
% 0.18/0.44 % (14241)Termination phase: Saturation
% 0.18/0.44
% 0.18/0.44 % (14241)Memory used [KB]: 2352
% 0.18/0.44 % (14241)Time elapsed: 0.054 s
% 0.18/0.44 % (14241)Instructions burned: 104 (million)
% 0.18/0.44 % (14243)Instruction limit reached!
% 0.18/0.44 % (14243)------------------------------
% 0.18/0.44 % (14243)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.44 % (14243)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.44 % (14243)Termination reason: Time limit
% 0.18/0.44 % (14243)Termination phase: Saturation
% 0.18/0.44
% 0.18/0.44 % (14243)Memory used [KB]: 1872
% 0.18/0.44 % (14243)Time elapsed: 0.057 s
% 0.18/0.44 % (14243)Instructions burned: 116 (million)
% 0.18/0.47 % (14242)Instruction limit reached!
% 0.18/0.47 % (14242)------------------------------
% 0.18/0.47 % (14242)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.47 % (14242)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.47 % (14242)Termination reason: Time limit
% 0.18/0.47 % (14242)Termination phase: Saturation
% 0.18/0.47
% 0.18/0.47 % (14242)Memory used [KB]: 2602
% 0.18/0.47 % (14242)Time elapsed: 0.087 s
% 0.18/0.47 % (14242)Instructions burned: 147 (million)
% 0.18/0.50 % (14236)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.50 % (14245)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.18/0.50 % (14236)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.50 % (14244)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.18/0.54 % (14236)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.54 % (14246)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.18/0.54 TRYING [23]
% 1.82/0.58 % (14245)Instruction limit reached!
% 1.82/0.58 % (14245)------------------------------
% 1.82/0.58 % (14245)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.82/0.58 % (14245)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.82/0.58 % (14245)Termination reason: Time limit
% 1.82/0.58 % (14245)Termination phase: Saturation
% 1.82/0.58
% 1.82/0.58 % (14245)Memory used [KB]: 2127
% 1.82/0.58 % (14245)Time elapsed: 0.084 s
% 1.82/0.58 % (14245)Instructions burned: 175 (million)
% 1.95/0.61 TRYING [5]
% 2.16/0.65 % (14236)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.65 % (14247)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 2.16/0.68 % (14246)Instruction limit reached!
% 2.16/0.68 % (14246)------------------------------
% 2.16/0.68 % (14246)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.16/0.68 % (14246)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.16/0.68 % (14246)Termination reason: Time limit
% 2.16/0.68 % (14246)Termination phase: Saturation
% 2.16/0.68
% 2.16/0.68 % (14246)Memory used [KB]: 4204
% 2.16/0.68 % (14246)Time elapsed: 0.141 s
% 2.16/0.68 % (14246)Instructions burned: 270 (million)
% 2.16/0.68 % (14244)Instruction limit reached!
% 2.16/0.68 % (14244)------------------------------
% 2.16/0.68 % (14244)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.16/0.68 % (14244)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.16/0.68 % (14244)Termination reason: Time limit
% 2.16/0.68 % (14244)Termination phase: Saturation
% 2.16/0.68
% 2.16/0.68 % (14244)Memory used [KB]: 3731
% 2.16/0.68 % (14244)Time elapsed: 0.185 s
% 2.16/0.68 % (14244)Instructions burned: 404 (million)
% 2.67/0.74 % (14236)Running in auto input_syntax mode. Trying TPTP
% 2.67/0.74 % (14248)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2996ds/7859Mi)
% 2.67/0.74 TRYING [1]
% 2.67/0.74 TRYING [2]
% 2.67/0.74 TRYING [3]
% 2.67/0.75 % (14236)Running in auto input_syntax mode. Trying TPTP
% 2.67/0.75 % (14249)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2996ds/2145Mi)
% 2.67/0.75 TRYING [4]
% 4.14/1.11 % (14247)Instruction limit reached!
% 4.14/1.11 % (14247)------------------------------
% 4.14/1.11 % (14247)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.14/1.11 % (14247)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.14/1.11 % (14247)Termination reason: Time limit
% 4.14/1.11 % (14247)Termination phase: Saturation
% 4.14/1.11
% 4.14/1.11 % (14247)Memory used [KB]: 10860
% 4.14/1.11 % (14247)Time elapsed: 0.461 s
% 4.14/1.11 % (14247)Instructions burned: 900 (million)
% 4.14/1.16 TRYING [5]
% 4.14/1.17 % (14236)Running in auto input_syntax mode. Trying TPTP
% 4.14/1.17 % (14250)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2992ds/1187Mi)
% 7.00/1.36 % (14250)First to succeed.
% 7.00/1.37 % (14250)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14236"
% 7.00/1.37 % (14236)Running in auto input_syntax mode. Trying TPTP
% 7.00/1.37 % (14250)Refutation found. Thanks to Tanya!
% 7.00/1.37 % SZS status Unsatisfiable for theBenchmark
% 7.00/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 7.00/1.37 % (14250)------------------------------
% 7.00/1.37 % (14250)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.00/1.37 % (14250)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.00/1.37 % (14250)Termination reason: Refutation
% 7.00/1.37
% 7.00/1.37 % (14250)Memory used [KB]: 3609
% 7.00/1.37 % (14250)Time elapsed: 0.193 s
% 7.00/1.37 % (14250)Instructions burned: 342 (million)
% 7.00/1.37 % (14250)------------------------------
% 7.00/1.37 % (14250)------------------------------
% 7.00/1.37 % (14236)Success in time 1.028 s
%------------------------------------------------------------------------------