TSTP Solution File: GRP606-1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : GRP606-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n022.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 07:24:26 EDT 2024
% Result : Unsatisfiable 1.39s 0.57s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% 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 : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 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 : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f640,plain,
$false,
inference(trivial_inequality_removal,[],[f639]) ).
fof(f639,plain,
a2 != a2,
inference(superposition,[],[f623,f209]) ).
fof(f209,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f125,f88]) ).
fof(f88,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X1)) = X1,
inference(superposition,[],[f74,f66]) ).
fof(f66,plain,
! [X2,X3] : double_divide(inverse(double_divide(inverse(X2),inverse(X3))),X2) = X3,
inference(backward_demodulation,[],[f5,f52]) ).
fof(f52,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),inverse(double_divide(inverse(X3),X1))) = double_divide(inverse(X2),inverse(X3)),
inference(superposition,[],[f39,f5]) ).
fof(f39,plain,
! [X2,X1] : double_divide(inverse(X1),inverse(double_divide(inverse(X2),X1))) = X2,
inference(superposition,[],[f5,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),inverse(double_divide(inverse(X3),X1)))),X2) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f74,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(inverse(X0),X0)) = X1,
inference(superposition,[],[f66,f1]) ).
fof(f125,plain,
! [X2,X1] : double_divide(inverse(double_divide(inverse(X1),inverse(X2))),X2) = X1,
inference(backward_demodulation,[],[f1,f124]) ).
fof(f124,plain,
! [X2,X3,X1] : double_divide(X2,inverse(double_divide(inverse(X3),double_divide(X2,X1)))) = double_divide(inverse(X3),inverse(X1)),
inference(forward_demodulation,[],[f121,f88]) ).
fof(f121,plain,
! [X2,X3,X0,X1] : double_divide(X2,inverse(double_divide(inverse(X3),double_divide(X2,X1)))) = double_divide(inverse(double_divide(inverse(double_divide(inverse(X0),X0)),inverse(X3))),inverse(X1)),
inference(superposition,[],[f6,f88]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,double_divide(X2,X3))))) = double_divide(inverse(double_divide(X2,inverse(X1))),X3),
inference(superposition,[],[f1,f1]) ).
fof(f623,plain,
a2 != inverse(inverse(a2)),
inference(forward_demodulation,[],[f622,f254]) ).
fof(f254,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[],[f216,f209]) ).
fof(f216,plain,
! [X2,X1] : double_divide(inverse(X1),double_divide(inverse(X1),X2)) = X2,
inference(backward_demodulation,[],[f151,f206]) ).
fof(f206,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = double_divide(inverse(X0),inverse(inverse(X1))),
inference(superposition,[],[f125,f125]) ).
fof(f151,plain,
! [X2,X1] : double_divide(inverse(X1),double_divide(inverse(X1),inverse(inverse(X2)))) = X2,
inference(backward_demodulation,[],[f70,f124]) ).
fof(f70,plain,
! [X2,X0,X1] : double_divide(inverse(X1),double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,inverse(X2)))))) = X2,
inference(superposition,[],[f66,f1]) ).
fof(f622,plain,
a2 != inverse(inverse(double_divide(b2,double_divide(b2,a2)))),
inference(forward_demodulation,[],[f384,f209]) ).
fof(f384,plain,
a2 != inverse(inverse(double_divide(b2,inverse(inverse(double_divide(b2,a2)))))),
inference(backward_demodulation,[],[f241,f324]) ).
fof(f324,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = inverse(double_divide(X0,inverse(X1))),
inference(forward_demodulation,[],[f315,f209]) ).
fof(f315,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = inverse(double_divide(inverse(inverse(X0)),inverse(X1))),
inference(superposition,[],[f221,f66]) ).
fof(f221,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(X0,inverse(X1))) = X0,
inference(backward_demodulation,[],[f72,f209]) ).
fof(f72,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(inverse(inverse(X0)),inverse(X1))) = X0,
inference(superposition,[],[f66,f66]) ).
fof(f241,plain,
a2 != inverse(double_divide(inverse(b2),inverse(double_divide(b2,a2)))),
inference(forward_demodulation,[],[f232,f134]) ).
fof(f134,plain,
! [X2,X3,X1] : double_divide(inverse(double_divide(X2,inverse(X1))),X3) = double_divide(inverse(X1),inverse(double_divide(X2,X3))),
inference(backward_demodulation,[],[f6,f124]) ).
fof(f232,plain,
a2 != inverse(double_divide(inverse(double_divide(b2,inverse(b2))),a2)),
inference(backward_demodulation,[],[f4,f230]) ).
fof(f230,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = double_divide(inverse(X1),X0),
inference(backward_demodulation,[],[f205,f209]) ).
fof(f205,plain,
! [X0,X1] : double_divide(inverse(X1),X0) = double_divide(inverse(inverse(X0)),inverse(X1)),
inference(superposition,[],[f125,f66]) ).
fof(f4,plain,
a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))),
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,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP606-1 : TPTP v8.2.0. Released v2.6.0.
% 0.04/0.13 % Command : run_vampire %s %d SAT
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 20 13:18:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.36 Running first-order model finding
% 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.42 % (12787)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.42 % (12792)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.23/0.42 % (12787)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.42 % (12790)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.23/0.42 % (12787)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.42 % (12794)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 (2999ds/115Mi)
% 0.23/0.42 TRYING [1]
% 0.23/0.42 TRYING [2]
% 0.23/0.42 % (12787)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.42 % (12793)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 (2999ds/146Mi)
% 0.23/0.43 TRYING [3]
% 0.23/0.43 % (12787)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (12789)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 (2999ds/99418Mi)
% 0.23/0.43 % (12787)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (12791)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 (2999ds/152523Mi)
% 0.23/0.43 TRYING [4]
% 0.23/0.44 % (12787)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (12788)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.23/0.45 TRYING [10]
% 0.23/0.46 % (12792)Instruction limit reached!
% 0.23/0.46 % (12792)------------------------------
% 0.23/0.46 % (12792)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.46 % (12792)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.46 % (12792)Termination reason: Time limit
% 0.23/0.46 % (12792)Termination phase: Saturation
% 0.23/0.46
% 0.23/0.46 % (12792)Memory used [KB]: 1493
% 0.23/0.46 % (12792)Time elapsed: 0.044 s
% 0.23/0.46 % (12792)Instructions burned: 104 (million)
% 0.23/0.47 % (12794)Instruction limit reached!
% 0.23/0.47 % (12794)------------------------------
% 0.23/0.47 % (12794)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.47 % (12794)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.47 % (12794)Termination reason: Time limit
% 0.23/0.47 % (12794)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (12794)Memory used [KB]: 1141
% 0.23/0.47 % (12794)Time elapsed: 0.054 s
% 0.23/0.47 % (12794)Instructions burned: 116 (million)
% 0.23/0.49 TRYING [5]
% 0.23/0.50 % (12787)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.50 % (12795)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.23/0.50 % (12793)Instruction limit reached!
% 0.23/0.50 % (12793)------------------------------
% 0.23/0.50 % (12793)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.50 % (12793)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.50 % (12793)Termination reason: Time limit
% 0.23/0.50 % (12793)Termination phase: Saturation
% 0.23/0.50
% 0.23/0.50 % (12793)Memory used [KB]: 2528
% 0.23/0.50 % (12793)Time elapsed: 0.080 s
% 0.23/0.50 % (12793)Instructions burned: 146 (million)
% 0.23/0.53 % (12787)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.53 % (12796)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 1.26/0.54 % (12787)Running in auto input_syntax mode. Trying TPTP
% 1.26/0.54 % (12797)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)
% 1.26/0.54 TRYING [23]
% 1.39/0.56 % (12797)First to succeed.
% 1.39/0.56 % (12797)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12787"
% 1.39/0.57 % (12787)Running in auto input_syntax mode. Trying TPTP
% 1.39/0.57 % (12797)Refutation found. Thanks to Tanya!
% 1.39/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.39/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.57 % (12797)------------------------------
% 1.39/0.57 % (12797)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.39/0.57 % (12797)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.39/0.57 % (12797)Termination reason: Refutation
% 1.39/0.57
% 1.39/0.57 % (12797)Memory used [KB]: 1439
% 1.39/0.57 % (12797)Time elapsed: 0.029 s
% 1.39/0.57 % (12797)Instructions burned: 87 (million)
% 1.39/0.57 % (12797)------------------------------
% 1.39/0.57 % (12797)------------------------------
% 1.39/0.57 % (12787)Success in time 0.195 s
%------------------------------------------------------------------------------