TSTP Solution File: GRP698-1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : GRP698-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n021.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 07:25:31 EDT 2024
% Result : Unsatisfiable 3.66s 1.01s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3132,plain,
$false,
inference(subsumption_resolution,[],[f3131,f10]) ).
fof(f10,plain,
~ sP0(mult(a,mult(b,c))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f3131,plain,
sP0(mult(a,mult(b,c))),
inference(backward_demodulation,[],[f11,f3130]) ).
fof(f3130,plain,
! [X2,X0,X1] : mult(rd(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(X1,X2)),
inference(forward_demodulation,[],[f3129,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3129,plain,
! [X2,X0,X1] : mult(rd(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(rd(X1,X0),X0),X2)),
inference(forward_demodulation,[],[f3050,f3]) ).
fof(f3050,plain,
! [X2,X0,X1] : mult(X0,mult(mult(mult(rd(rd(X1,X0),X0),X0),X0),X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
inference(superposition,[],[f7,f680]) ).
fof(f680,plain,
! [X0,X1] : mult(mult(X1,rd(rd(X0,X1),X1)),X1) = rd(mult(X1,X0),X1),
inference(superposition,[],[f313,f3]) ).
fof(f313,plain,
! [X0,X1] : mult(mult(X1,rd(X0,X1)),X1) = rd(mult(X1,mult(X0,X1)),X1),
inference(superposition,[],[f145,f3]) ).
fof(f145,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = rd(mult(X0,mult(mult(X1,X0),X0)),X0),
inference(superposition,[],[f4,f60]) ).
fof(f60,plain,
! [X0,X1] : mult(mult(mult(X0,X1),X0),X0) = mult(X0,mult(mult(X1,X0),X0)),
inference(forward_demodulation,[],[f45,f5]) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f45,plain,
! [X0,X1] : mult(X0,mult(mult(mult(X1,X0),X0),unit)) = mult(mult(mult(X0,X1),X0),X0),
inference(superposition,[],[f7,f5]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(mult(X1,X0),X0),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f11,plain,
sP0(mult(rd(mult(a,b),a),mult(a,c))),
inference(inequality_splitting,[],[f9,f10]) ).
fof(f9,axiom,
mult(a,mult(b,c)) != mult(rd(mult(a,b),a),mult(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GRP698-1 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14 % Command : run_vampire %s %d SAT
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Jun 20 12:40:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.38 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.38 Running first-order model finding
% 0.15/0.38 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.44 % (4072)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (4075)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.24/0.44 % (4072)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (4073)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.24/0.44 % (4072)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (4076)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)
% 0.24/0.44 % (4072)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (4078)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)
% 0.24/0.44 % (4072)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (4077)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.24/0.44 % (4072)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (4074)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)
% 0.24/0.44 % (4072)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (4079)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)
% 0.24/0.45 TRYING [1]
% 0.24/0.45 TRYING [2]
% 0.24/0.45 TRYING [3]
% 0.24/0.46 TRYING [4]
% 0.24/0.47 TRYING [10]
% 0.24/0.50 TRYING [5]
% 0.24/0.50 % (4079)Instruction limit reached!
% 0.24/0.50 % (4079)------------------------------
% 0.24/0.50 % (4079)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.50 % (4079)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.50 % (4079)Termination reason: Time limit
% 0.24/0.50 % (4079)Termination phase: Saturation
% 0.24/0.50
% 0.24/0.50 % (4079)Memory used [KB]: 1300
% 0.24/0.50 % (4079)Time elapsed: 0.057 s
% 0.24/0.50 % (4079)Instructions burned: 115 (million)
% 0.24/0.50 % (4077)Instruction limit reached!
% 0.24/0.50 % (4077)------------------------------
% 0.24/0.50 % (4077)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.50 % (4077)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.50 % (4077)Termination reason: Time limit
% 0.24/0.50 % (4077)Termination phase: Saturation
% 0.24/0.50
% 0.24/0.50 % (4077)Memory used [KB]: 1745
% 0.24/0.50 % (4077)Time elapsed: 0.058 s
% 0.24/0.50 % (4077)Instructions burned: 105 (million)
% 1.07/0.53 % (4078)Instruction limit reached!
% 1.07/0.53 % (4078)------------------------------
% 1.07/0.53 % (4078)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.07/0.53 % (4078)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.07/0.53 % (4078)Termination reason: Time limit
% 1.07/0.53 % (4078)Termination phase: Saturation
% 1.07/0.53
% 1.07/0.53 % (4078)Memory used [KB]: 2501
% 1.07/0.53 % (4078)Time elapsed: 0.084 s
% 1.07/0.53 % (4078)Instructions burned: 147 (million)
% 1.07/0.54 % (4072)Running in auto input_syntax mode. Trying TPTP
% 1.07/0.54 % (4081)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 1.22/0.54 % (4072)Running in auto input_syntax mode. Trying TPTP
% 1.22/0.54 % (4080)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)
% 1.22/0.57 % (4072)Running in auto input_syntax mode. Trying TPTP
% 1.22/0.57 % (4082)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)
% 1.22/0.57 TRYING [6]
% 1.22/0.59 % (4081)Instruction limit reached!
% 1.22/0.59 % (4081)------------------------------
% 1.22/0.59 % (4081)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.22/0.59 % (4081)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.22/0.59 % (4081)Termination reason: Time limit
% 1.22/0.59 % (4081)Termination phase: Saturation
% 1.22/0.59
% 1.22/0.59 % (4081)Memory used [KB]: 1789
% 1.22/0.59 % (4081)Time elapsed: 0.053 s
% 1.22/0.59 % (4081)Instructions burned: 175 (million)
% 1.22/0.62 % (4072)Running in auto input_syntax mode. Trying TPTP
% 1.22/0.62 % (4083)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 1.74/0.66 % (4080)Instruction limit reached!
% 1.74/0.66 % (4080)------------------------------
% 1.74/0.66 % (4080)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.74/0.66 % (4080)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.74/0.66 % (4080)Termination reason: Time limit
% 1.74/0.66 % (4080)Termination phase: Saturation
% 1.74/0.66
% 1.74/0.66 % (4080)Memory used [KB]: 4330
% 1.74/0.66 % (4080)Time elapsed: 0.122 s
% 1.74/0.66 % (4080)Instructions burned: 406 (million)
% 1.74/0.66 % (4082)Instruction limit reached!
% 1.74/0.66 % (4082)------------------------------
% 1.74/0.66 % (4082)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.74/0.66 % (4082)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.74/0.66 % (4082)Termination reason: Time limit
% 1.74/0.66 % (4082)Termination phase: Saturation
% 1.74/0.66
% 1.74/0.66 % (4082)Memory used [KB]: 3477
% 1.74/0.66 % (4082)Time elapsed: 0.098 s
% 1.74/0.66 % (4082)Instructions burned: 270 (million)
% 2.13/0.70 % (4072)Running in auto input_syntax mode. Trying TPTP
% 2.13/0.70 % (4084)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 2.13/0.70 TRYING [1]
% 2.13/0.70 % (4072)Running in auto input_syntax mode. Trying TPTP
% 2.13/0.70 % (4085)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)
% 2.13/0.70 TRYING [2]
% 2.13/0.70 TRYING [3]
% 2.13/0.70 TRYING [4]
% 2.13/0.73 TRYING [5]
% 2.13/0.73 TRYING [23]
% 2.41/0.76 TRYING [7]
% 2.44/0.79 TRYING [6]
% 2.73/0.92 % (4083)Instruction limit reached!
% 2.73/0.92 % (4083)------------------------------
% 2.73/0.92 % (4083)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.73/0.92 % (4083)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.73/0.92 % (4083)Termination reason: Time limit
% 2.73/0.92 % (4083)Termination phase: Saturation
% 2.73/0.92
% 2.73/0.92 % (4083)Memory used [KB]: 10831
% 2.73/0.92 % (4083)Time elapsed: 0.293 s
% 2.73/0.92 % (4083)Instructions burned: 902 (million)
% 3.42/0.96 % (4072)Running in auto input_syntax mode. Trying TPTP
% 3.42/0.96 % (4086)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2994ds/1187Mi)
% 3.42/0.96 TRYING [7]
% 3.66/1.00 % (4086)First to succeed.
% 3.66/1.01 % (4086)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4072"
% 3.66/1.01 % (4072)Running in auto input_syntax mode. Trying TPTP
% 3.66/1.01 % (4086)Refutation found. Thanks to Tanya!
% 3.66/1.01 % SZS status Unsatisfiable for theBenchmark
% 3.66/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.01 % (4086)------------------------------
% 3.66/1.01 % (4086)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.66/1.01 % (4086)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.66/1.01 % (4086)Termination reason: Refutation
% 3.66/1.01
% 3.66/1.01 % (4086)Memory used [KB]: 2044
% 3.66/1.01 % (4086)Time elapsed: 0.074 s
% 3.66/1.01 % (4086)Instructions burned: 147 (million)
% 3.66/1.01 % (4086)------------------------------
% 3.66/1.01 % (4086)------------------------------
% 3.66/1.01 % (4072)Success in time 0.604 s
%------------------------------------------------------------------------------