TSTP Solution File: GRP515-1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : GRP515-1 : 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 07:24:05 EDT 2024
% Result : Unsatisfiable 2.21s 0.74s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4722,plain,
$false,
inference(trivial_inequality_removal,[],[f4721]) ).
fof(f4721,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(forward_demodulation,[],[f4601,f315]) ).
fof(f315,plain,
! [X2,X1] : multiply(X1,X2) = multiply(X2,X1),
inference(forward_demodulation,[],[f283,f233]) ).
fof(f233,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(superposition,[],[f213,f9]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X1,inverse(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f213,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f210,f9]) ).
fof(f210,plain,
! [X2,X3,X0] : multiply(X0,multiply(X3,multiply(multiply(X2,inverse(X3)),inverse(X0)))) = X2,
inference(forward_demodulation,[],[f207,f159]) ).
fof(f159,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,inverse(X0))) = multiply(X2,multiply(X1,inverse(X0))),
inference(superposition,[],[f143,f31]) ).
fof(f31,plain,
! [X2,X3,X0] : multiply(X0,multiply(multiply(X2,multiply(X3,inverse(X0))),inverse(X3))) = X2,
inference(forward_demodulation,[],[f25,f9]) ).
fof(f25,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X2,multiply(multiply(X3,multiply(X1,inverse(X1))),inverse(X0))),inverse(X3))) = X2,
inference(superposition,[],[f4,f9]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))),inverse(X1))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f143,plain,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(X2,inverse(X0))),inverse(X1))) = X2,
inference(superposition,[],[f33,f31]) ).
fof(f33,plain,
! [X2,X3,X0] : multiply(X2,multiply(X3,inverse(multiply(X2,multiply(X3,inverse(X0)))))) = X0,
inference(forward_demodulation,[],[f27,f9]) ).
fof(f27,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X3,inverse(multiply(X2,multiply(multiply(X3,multiply(X1,inverse(X1))),inverse(X0)))))) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f207,plain,
! [X2,X3,X0] : multiply(X0,multiply(multiply(X2,inverse(X3)),multiply(X3,inverse(X0)))) = X2,
inference(backward_demodulation,[],[f31,f189]) ).
fof(f189,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(superposition,[],[f126,f39]) ).
fof(f39,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(X0,multiply(multiply(X2,X1),inverse(X2))),
inference(superposition,[],[f4,f23]) ).
fof(f23,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X1))) = X0,
inference(superposition,[],[f4,f9]) ).
fof(f126,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X2,X1),multiply(X0,inverse(X2))),
inference(superposition,[],[f31,f40]) ).
fof(f40,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
inference(superposition,[],[f3,f23]) ).
fof(f283,plain,
! [X2,X0,X1] : multiply(X2,X1) = multiply(X1,multiply(X2,inverse(multiply(X0,inverse(X0))))),
inference(superposition,[],[f126,f214]) ).
fof(f214,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[],[f210,f1]) ).
fof(f4601,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3)),
inference(superposition,[],[f2,f1197]) ).
fof(f1197,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X2,X1)),
inference(superposition,[],[f262,f303]) ).
fof(f303,plain,
! [X2,X1] : multiply(multiply(X1,X2),inverse(X1)) = X2,
inference(forward_demodulation,[],[f270,f214]) ).
fof(f270,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),inverse(X1)) = multiply(multiply(X0,inverse(X0)),X2),
inference(superposition,[],[f214,f39]) ).
fof(f262,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(X2,multiply(X1,multiply(X0,inverse(X2)))),
inference(forward_demodulation,[],[f248,f231]) ).
fof(f231,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,inverse(inverse(X1))),
inference(superposition,[],[f213,f213]) ).
fof(f248,plain,
! [X2,X0,X1] : multiply(X0,inverse(inverse(X1))) = multiply(X2,multiply(X1,multiply(X0,inverse(X2)))),
inference(superposition,[],[f210,f213]) ).
fof(f2,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP515-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 10:17:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.35 Running first-order model finding
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.42 % (26738)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (26740)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)
% 0.21/0.42 % (26738)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (26743)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.21/0.42 % (26738)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (26741)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.21/0.42 % (26738)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (26739)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.21/0.42 % (26738)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (26745)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)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 % (26738)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (26742)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)
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.42 TRYING [4]
% 0.21/0.43 TRYING [10]
% 0.21/0.43 % (26738)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (26744)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)
% 0.21/0.45 TRYING [5]
% 0.21/0.48 % (26745)Instruction limit reached!
% 0.21/0.48 % (26745)------------------------------
% 0.21/0.48 % (26745)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (26745)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (26745)Termination reason: Time limit
% 0.21/0.48 % (26745)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (26745)Memory used [KB]: 1369
% 0.21/0.48 % (26745)Time elapsed: 0.059 s
% 0.21/0.48 % (26745)Instructions burned: 115 (million)
% 0.21/0.48 % (26743)Instruction limit reached!
% 0.21/0.48 % (26743)------------------------------
% 0.21/0.48 % (26743)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (26743)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (26743)Termination reason: Time limit
% 0.21/0.48 % (26743)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (26743)Memory used [KB]: 1626
% 0.21/0.48 % (26743)Time elapsed: 0.064 s
% 0.21/0.48 % (26743)Instructions burned: 105 (million)
% 0.21/0.50 % (26744)Instruction limit reached!
% 0.21/0.50 % (26744)------------------------------
% 0.21/0.50 % (26744)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (26744)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (26744)Termination reason: Time limit
% 0.21/0.50 % (26744)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (26744)Memory used [KB]: 2335
% 0.21/0.50 % (26744)Time elapsed: 0.077 s
% 0.21/0.50 % (26744)Instructions burned: 147 (million)
% 0.21/0.51 % (26738)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (26769)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)
% 1.25/0.52 % (26738)Running in auto input_syntax mode. Trying TPTP
% 1.25/0.52 % (26770)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 1.25/0.53 TRYING [23]
% 1.25/0.54 % (26738)Running in auto input_syntax mode. Trying TPTP
% 1.25/0.54 % (26771)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)
% 1.37/0.57 % (26770)Instruction limit reached!
% 1.37/0.57 % (26770)------------------------------
% 1.37/0.57 % (26770)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.37/0.57 % (26770)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.37/0.57 % (26770)Termination reason: Time limit
% 1.37/0.57 % (26770)Termination phase: Saturation
% 1.37/0.57
% 1.37/0.57 % (26770)Memory used [KB]: 1507
% 1.37/0.57 % (26770)Time elapsed: 0.051 s
% 1.37/0.57 % (26770)Instructions burned: 178 (million)
% 1.37/0.61 % (26738)Running in auto input_syntax mode. Trying TPTP
% 1.37/0.61 % (26772)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 1.94/0.62 % (26771)Instruction limit reached!
% 1.94/0.62 % (26771)------------------------------
% 1.94/0.62 % (26771)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.94/0.62 % (26771)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.94/0.62 % (26771)Termination reason: Time limit
% 1.94/0.62 % (26771)Termination phase: Saturation
% 1.94/0.62
% 1.94/0.62 % (26771)Memory used [KB]: 2937
% 1.94/0.62 % (26771)Time elapsed: 0.090 s
% 1.94/0.62 % (26771)Instructions burned: 271 (million)
% 1.94/0.63 % (26769)Instruction limit reached!
% 1.94/0.63 % (26769)------------------------------
% 1.94/0.63 % (26769)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.94/0.63 % (26769)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.94/0.63 % (26769)Termination reason: Time limit
% 1.94/0.63 % (26769)Termination phase: Saturation
% 1.94/0.63
% 1.94/0.63 % (26769)Memory used [KB]: 5213
% 1.94/0.63 % (26769)Time elapsed: 0.116 s
% 1.94/0.63 % (26769)Instructions burned: 404 (million)
% 1.94/0.63 TRYING [6]
% 1.94/0.66 % (26738)Running in auto input_syntax mode. Trying TPTP
% 1.94/0.66 % (26786)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 1.94/0.66 TRYING [1]
% 1.94/0.66 TRYING [2]
% 1.94/0.66 TRYING [3]
% 1.94/0.66 % (26738)Running in auto input_syntax mode. Trying TPTP
% 1.94/0.66 % (26789)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 (2997ds/2145Mi)
% 1.94/0.66 TRYING [4]
% 1.94/0.68 TRYING [5]
% 2.21/0.74 % (26789)First to succeed.
% 2.21/0.74 % (26789)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26738"
% 2.21/0.74 % (26738)Running in auto input_syntax mode. Trying TPTP
% 2.21/0.74 % (26789)Refutation found. Thanks to Tanya!
% 2.21/0.74 % SZS status Unsatisfiable for theBenchmark
% 2.21/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.21/0.74 % (26789)------------------------------
% 2.21/0.74 % (26789)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.21/0.74 % (26789)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.21/0.74 % (26789)Termination reason: Refutation
% 2.21/0.74
% 2.21/0.74 % (26789)Memory used [KB]: 2213
% 2.21/0.74 % (26789)Time elapsed: 0.077 s
% 2.21/0.74 % (26789)Instructions burned: 221 (million)
% 2.21/0.74 % (26789)------------------------------
% 2.21/0.74 % (26789)------------------------------
% 2.21/0.74 % (26738)Success in time 0.368 s
%------------------------------------------------------------------------------