TSTP Solution File: GRP754-1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRP754-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.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 07:20:42 EDT 2024
% Result : Unsatisfiable 3.00s 0.84s
% Output : Refutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 111 ( 111 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7107,plain,
$false,
inference(subsumption_resolution,[],[f7106,f8]) ).
fof(f8,plain,
~ sP0(mult(mult(a,a),mult(b,c))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7106,plain,
sP0(mult(mult(a,a),mult(b,c))),
inference(backward_demodulation,[],[f9,f7093]) ).
fof(f7093,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X0,X2)) = mult(mult(X0,X0),mult(X1,X2)),
inference(superposition,[],[f6009,f2]) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f6009,plain,
! [X2,X0,X1] : mult(X1,mult(X0,X2)) = mult(mult(X0,X0),mult(ld(X0,X1),X2)),
inference(superposition,[],[f1,f4533]) ).
fof(f4533,plain,
! [X2,X0,X1] : mult(ld(X0,X1),X2) = ld(mult(X0,X0),mult(X1,mult(X0,X2))),
inference(backward_demodulation,[],[f4508,f4483]) ).
fof(f4483,plain,
! [X2,X0,X1] : ld(X0,mult(X1,X2)) = ld(rd(mult(X0,ld(X1,X1)),X2),X1),
inference(superposition,[],[f2,f2271]) ).
fof(f2271,plain,
! [X2,X0,X1] : mult(X0,X2) = mult(X1,ld(rd(mult(X1,ld(X0,X0)),X2),X0)),
inference(superposition,[],[f1,f858]) ).
fof(f858,plain,
! [X2,X3,X1] : ld(X2,mult(X3,ld(rd(mult(X3,ld(X2,X2)),X1),X2))) = X1,
inference(backward_demodulation,[],[f857,f818]) ).
fof(f818,plain,
! [X2,X3,X0,X1] : mult(X0,rd(ld(X2,mult(X3,ld(mult(X0,X1),X2))),ld(X1,X1))) = rd(mult(X3,ld(X2,X2)),X1),
inference(superposition,[],[f149,f221]) ).
fof(f221,plain,
! [X2,X0,X1] : mult(X1,ld(X2,X2)) = mult(X0,ld(X2,mult(X1,ld(X0,X2)))),
inference(forward_demodulation,[],[f203,f101]) ).
fof(f101,plain,
! [X2,X0,X1] : mult(X2,ld(X0,X1)) = ld(mult(rd(X2,X2),X0),mult(X2,X1)),
inference(superposition,[],[f21,f1]) ).
fof(f21,plain,
! [X2,X0,X1] : mult(X0,X2) = ld(mult(rd(X0,X0),X1),mult(X0,mult(X1,X2))),
inference(superposition,[],[f2,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(mult(rd(X0,X0),X1),mult(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f203,plain,
! [X2,X0,X1] : mult(X1,ld(X2,X2)) = ld(mult(rd(X0,X0),X2),mult(X0,mult(X1,ld(X0,X2)))),
inference(superposition,[],[f32,f17]) ).
fof(f17,plain,
! [X2,X0,X1] : mult(X0,mult(X2,ld(X0,X1))) = mult(mult(rd(X0,X0),X2),X1),
inference(superposition,[],[f5,f1]) ).
fof(f32,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = ld(mult(X0,X1),mult(mult(X0,X2),X1)),
inference(superposition,[],[f2,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),mult(X1,ld(X2,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f149,plain,
! [X2,X0,X1] : mult(X0,rd(X1,ld(X2,X2))) = rd(mult(mult(X0,X2),X1),X2),
inference(superposition,[],[f4,f30]) ).
fof(f30,plain,
! [X2,X0,X1] : mult(mult(X2,rd(X0,ld(X1,X1))),X1) = mult(mult(X2,X1),X0),
inference(superposition,[],[f6,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f857,plain,
! [X2,X3,X0,X1] : ld(X2,mult(X3,ld(mult(X0,rd(ld(X2,mult(X3,ld(mult(X0,X1),X2))),ld(X1,X1))),X2))) = X1,
inference(forward_demodulation,[],[f817,f804]) ).
fof(f804,plain,
! [X2,X0,X1] : ld(X0,mult(X2,ld(X1,X1))) = ld(X1,mult(X2,ld(X0,X1))),
inference(superposition,[],[f2,f221]) ).
fof(f817,plain,
! [X2,X3,X0,X1] : ld(mult(X0,rd(ld(X2,mult(X3,ld(mult(X0,X1),X2))),ld(X1,X1))),mult(X3,ld(X2,X2))) = X1,
inference(superposition,[],[f150,f221]) ).
fof(f150,plain,
! [X2,X0,X1] : ld(mult(X0,rd(X1,ld(X2,X2))),mult(mult(X0,X2),X1)) = X2,
inference(superposition,[],[f2,f30]) ).
fof(f4508,plain,
! [X2,X0,X1] : mult(ld(X0,X1),X2) = ld(rd(mult(mult(X0,X0),ld(X1,X1)),mult(X0,X2)),X1),
inference(forward_demodulation,[],[f4507,f810]) ).
fof(f810,plain,
! [X2,X3,X0,X1] : mult(rd(X0,X0),rd(ld(X1,mult(X2,ld(X0,X1))),X3)) = rd(mult(X2,ld(X1,X1)),mult(X0,X3)),
inference(superposition,[],[f65,f221]) ).
fof(f65,plain,
! [X2,X0,X1] : mult(rd(X2,X2),rd(X0,X1)) = rd(mult(X2,X0),mult(X2,X1)),
inference(superposition,[],[f20,f3]) ).
fof(f20,plain,
! [X2,X0,X1] : mult(rd(X0,X0),X1) = rd(mult(X0,mult(X1,X2)),mult(X0,X2)),
inference(superposition,[],[f4,f5]) ).
fof(f4507,plain,
! [X2,X0,X1] : mult(ld(X0,X1),X2) = ld(mult(rd(X0,X0),rd(ld(X1,mult(mult(X0,X0),ld(X0,X1))),X2)),X1),
inference(forward_demodulation,[],[f4506,f779]) ).
fof(f779,plain,
! [X2,X0,X1] : ld(X1,mult(mult(X0,X2),ld(X0,X1))) = ld(mult(rd(X0,X2),ld(X0,X1)),X1),
inference(forward_demodulation,[],[f760,f190]) ).
fof(f190,plain,
! [X2,X0,X1] : mult(X2,ld(ld(X0,X1),ld(X0,X1))) = ld(X1,mult(mult(X0,X2),ld(X0,X1))),
inference(superposition,[],[f32,f1]) ).
fof(f760,plain,
! [X2,X0,X1] : mult(X2,ld(ld(X0,X1),ld(X0,X1))) = ld(mult(rd(X0,X2),ld(X0,X1)),X1),
inference(superposition,[],[f197,f1]) ).
fof(f197,plain,
! [X2,X0,X1] : mult(X1,ld(X2,X2)) = ld(mult(rd(X0,X1),X2),mult(X0,X2)),
inference(superposition,[],[f32,f3]) ).
fof(f4506,plain,
! [X2,X0,X1] : mult(ld(X0,X1),X2) = ld(mult(rd(X0,X0),rd(ld(mult(rd(X0,X0),ld(X0,X1)),X1),X2)),X1),
inference(forward_demodulation,[],[f4464,f421]) ).
fof(f421,plain,
! [X2,X0,X1] : ld(mult(rd(X0,X0),X2),X1) = mult(X0,ld(X2,ld(X0,X1))),
inference(superposition,[],[f101,f1]) ).
fof(f4464,plain,
! [X2,X0,X1] : mult(ld(X0,X1),X2) = mult(X0,ld(rd(ld(mult(rd(X0,X0),ld(X0,X1)),X1),X2),ld(X0,X1))),
inference(superposition,[],[f2271,f421]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f9,plain,
sP0(mult(mult(a,b),mult(a,c))),
inference(inequality_splitting,[],[f7,f8]) ).
fof(f7,axiom,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP754-1 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n025.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 12:39:39 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 theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41 % (32039)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (32041)lrs+10_25:89_sil=256000:tgt=ground:lwlo=on:s2a=on:i=224446:s2at=5.0:fsr=off:awrs=converge:awrsf=90_0 on theBenchmark for (2999ds/224446Mi)
% 0.12/0.41 % (32039)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (32044)lrs+10_85441:1048576_drc=encompass:sil=64000:i=401:awrs=converge:sp=reverse_frequency:dpc=on:bd=preordered:fsr=off:ss=included:st=3.0:fde=none_0 on theBenchmark for (2999ds/401Mi)
% 0.12/0.41 % (32039)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (32043)lrs+10_1:32_drc=encompass:sil=256000:i=140:irc=lazy_0 on theBenchmark for (2999ds/140Mi)
% 0.12/0.41 % (32039)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (32042)lrs+10_1:1_to=lpo:drc=encompass:sil=2000:fde=unused:sp=const_min:i=107:bs=unit_only:bd=preordered:ins=1:rawr=on:irc=lazy:sfv=off:plsq=on:plsql=on:plsqc=1_0 on theBenchmark for (2999ds/107Mi)
% 0.12/0.41 % (32039)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (32046)dis+10_1:24_drc=encompass:sil=256000:tgt=ground:spb=goal:i=313:bd=preordered:irc=eager_0 on theBenchmark for (2999ds/313Mi)
% 0.12/0.41 % (32039)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (32040)ott+10_4:13_drc=encompass:sil=256000:bsd=on:sp=reverse_frequency:urr=on:i=125345:rawr=on_0 on theBenchmark for (2999ds/125345Mi)
% 0.12/0.41 % (32039)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (32045)dis+10_1:128_drc=encompass:sil=256000:sp=occurrence:i=1122:kws=precedence:fsr=off_0 on theBenchmark for (2999ds/1122Mi)
% 0.21/0.47 % (32042)Instruction limit reached!
% 0.21/0.47 % (32042)------------------------------
% 0.21/0.47 % (32042)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (32042)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (32042)Termination reason: Time limit
% 0.21/0.47 % (32042)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (32042)Memory used [KB]: 2087
% 0.21/0.47 % (32042)Time elapsed: 0.061 s
% 0.21/0.47 % (32042)Instructions burned: 107 (million)
% 0.21/0.49 % (32043)Instruction limit reached!
% 0.21/0.49 % (32043)------------------------------
% 0.21/0.49 % (32043)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (32043)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (32043)Termination reason: Time limit
% 0.21/0.49 % (32043)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (32043)Memory used [KB]: 2644
% 0.21/0.49 % (32043)Time elapsed: 0.077 s
% 0.21/0.49 % (32043)Instructions burned: 140 (million)
% 0.21/0.51 % (32039)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (32047)dis+10_1:9_bsr=unit_only:slsqr=31,32:sil=256000:tgt=full:urr=on:slsqc=2:slsq=on:i=1149:s2at=5.0:slsql=off:ins=1:rawr=on:fd=preordered:drc=encompass_0 on theBenchmark for (2998ds/1149Mi)
% 0.21/0.52 % (32039)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (32048)lrs+10_1:10_drc=encompass:sil=2000:tgt=ground:plsq=on:plsqr=92626939,1048576:sp=occurrence:fd=preordered:i=1914:kws=precedence:ins=8:rawr=on_0 on theBenchmark for (2998ds/1914Mi)
% 0.21/0.54 % (32046)Instruction limit reached!
% 0.21/0.54 % (32046)------------------------------
% 0.21/0.54 % (32046)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.54 % (32046)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.54 % (32046)Termination reason: Time limit
% 0.21/0.54 % (32046)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (32046)Memory used [KB]: 3988
% 0.21/0.54 % (32046)Time elapsed: 0.127 s
% 0.21/0.54 % (32046)Instructions burned: 314 (million)
% 0.21/0.57 % (32039)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.57 % (32049)lrs+10_16:1_bsr=on:drc=encompass:sil=64000:i=281:bd=off:to=lpo_0 on theBenchmark for (2998ds/281Mi)
% 0.21/0.58 % (32044)Instruction limit reached!
% 0.21/0.58 % (32044)------------------------------
% 0.21/0.58 % (32044)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.58 % (32044)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.58 % (32044)Termination reason: Time limit
% 0.21/0.58 % (32044)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (32044)Memory used [KB]: 5799
% 0.21/0.58 % (32044)Time elapsed: 0.164 s
% 0.21/0.58 % (32044)Instructions burned: 403 (million)
% 1.89/0.61 % (32039)Running in auto input_syntax mode. Trying TPTP
% 1.89/0.61 % (32050)lrs+10_1:64_drc=encompass:sil=2000:fde=none:sp=reverse_arity:s2a=on:i=1826:ins=2:dpc=on:awrs=decay:awrsf=200_0 on theBenchmark for (2997ds/1826Mi)
% 2.02/0.66 % (32049)Instruction limit reached!
% 2.02/0.66 % (32049)------------------------------
% 2.02/0.66 % (32049)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.02/0.66 % (32049)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.02/0.66 % (32049)Termination reason: Time limit
% 2.02/0.66 % (32049)Termination phase: Saturation
% 2.02/0.66
% 2.02/0.66 % (32049)Memory used [KB]: 3267
% 2.02/0.66 % (32049)Time elapsed: 0.089 s
% 2.02/0.66 % (32049)Instructions burned: 282 (million)
% 2.02/0.70 % (32039)Running in auto input_syntax mode. Trying TPTP
% 2.02/0.70 % (32051)dis+10_1:1024_slsqr=7,2:to=lpo:sil=256000:tgt=full:s2agt=8:slsqc=1:slsq=on:s2a=on:i=807:rawr=on_0 on theBenchmark for (2997ds/807Mi)
% 3.00/0.79 % (32045)Instruction limit reached!
% 3.00/0.79 % (32045)------------------------------
% 3.00/0.79 % (32045)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.00/0.79 % (32045)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.00/0.79 % (32045)Termination reason: Time limit
% 3.00/0.79 % (32045)Termination phase: Saturation
% 3.00/0.79
% 3.00/0.79 % (32045)Memory used [KB]: 10633
% 3.00/0.79 % (32045)Time elapsed: 0.378 s
% 3.00/0.79 % (32045)Instructions burned: 1124 (million)
% 3.00/0.84 % (32050)First to succeed.
% 3.00/0.84 % (32050)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32039"
% 3.00/0.84 % (32039)Running in auto input_syntax mode. Trying TPTP
% 3.00/0.84 % (32050)Refutation found. Thanks to Tanya!
% 3.00/0.84 % SZS status Unsatisfiable for theBenchmark
% 3.00/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 3.00/0.84 % (32050)------------------------------
% 3.00/0.84 % (32050)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.00/0.84 % (32050)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.00/0.84 % (32050)Termination reason: Refutation
% 3.00/0.84
% 3.00/0.84 % (32050)Memory used [KB]: 4790
% 3.00/0.84 % (32050)Time elapsed: 0.228 s
% 3.00/0.84 % (32050)Instructions burned: 615 (million)
% 3.00/0.84 % (32050)------------------------------
% 3.00/0.84 % (32050)------------------------------
% 3.00/0.84 % (32039)Success in time 0.471 s
%------------------------------------------------------------------------------