TSTP Solution File: NUM851+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM851+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n002.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 : Wed Aug 31 18:02:35 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 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 : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f268,plain,
$false,
inference(trivial_inequality_removal,[],[f267]) ).
fof(f267,plain,
vplus(vmul(vd471,vd469),vmul(vd469,vd473)) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
inference(forward_demodulation,[],[f266,f223]) ).
fof(f223,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X6,X7] : vmul(X6,X7) = vmul(X7,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f266,plain,
vplus(vmul(vd471,vd469),vmul(vd469,vd473)) != vplus(vmul(vd469,vd471),vmul(vd469,vd473)),
inference(superposition,[],[f264,f182]) ).
fof(f182,plain,
! [X2,X0,X1] : vplus(vmul(X2,X1),vmul(X2,X0)) = vmul(X2,vplus(X1,X0)),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] : vplus(vmul(X2,X1),vmul(X2,X0)) = vmul(X2,vplus(X1,X0)),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0,X2,X1] : vmul(X1,vplus(X2,X0)) = vplus(vmul(X1,X2),vmul(X1,X0)),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X5,X3,X4] : vmul(X3,vplus(X4,X5)) = vplus(vmul(X3,X4),vmul(X3,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof(f264,plain,
vmul(vd469,vplus(vd471,vd473)) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
inference(superposition,[],[f263,f223]) ).
fof(f263,plain,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
inference(forward_demodulation,[],[f190,f223]) ).
fof(f190,plain,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vmul(vplus(vd471,vd473),vd469) = vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct2(conseq(302)), 475, 1)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM851+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 09:16:13 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (4649)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.49 % (4641)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49 % (4640)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (4633)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.49 % (4641)Instruction limit reached!
% 0.19/0.49 % (4641)------------------------------
% 0.19/0.49 % (4641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (4641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (4641)Termination reason: Unknown
% 0.19/0.49 % (4641)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (4641)Memory used [KB]: 6012
% 0.19/0.49 % (4641)Time elapsed: 0.006 s
% 0.19/0.49 % (4641)Instructions burned: 4 (million)
% 0.19/0.49 % (4641)------------------------------
% 0.19/0.49 % (4641)------------------------------
% 0.19/0.49 % (4627)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50 % (4631)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50 % (4630)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (4629)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (4639)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50 % (4648)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (4642)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (4656)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.51 % (4646)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.51 % (4628)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (4628)Refutation not found, incomplete strategy% (4628)------------------------------
% 0.19/0.51 % (4628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (4628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (4628)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (4628)Memory used [KB]: 6012
% 0.19/0.51 % (4628)Time elapsed: 0.125 s
% 0.19/0.51 % (4628)Instructions burned: 4 (million)
% 0.19/0.51 % (4628)------------------------------
% 0.19/0.51 % (4628)------------------------------
% 0.19/0.51 % (4653)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (4642)Instruction limit reached!
% 0.19/0.52 % (4642)------------------------------
% 0.19/0.52 % (4642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (4638)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (4634)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (4654)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52 % (4652)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.52 % (4651)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (4629)Instruction limit reached!
% 0.19/0.52 % (4629)------------------------------
% 0.19/0.52 % (4629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (4629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (4629)Termination reason: Unknown
% 0.19/0.52 % (4629)Termination phase: Function definition elimination
% 0.19/0.52
% 0.19/0.52 % (4629)Memory used [KB]: 1535
% 0.19/0.52 % (4629)Time elapsed: 0.004 s
% 0.19/0.52 % (4629)Instructions burned: 3 (million)
% 0.19/0.52 % (4629)------------------------------
% 0.19/0.52 % (4629)------------------------------
% 0.19/0.52 % (4637)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.52 % (4632)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52 % (4631)Instruction limit reached!
% 0.19/0.52 % (4631)------------------------------
% 0.19/0.52 % (4631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (4643)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (4636)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53 % (4650)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.53 % (4646)Instruction limit reached!
% 0.19/0.53 % (4646)------------------------------
% 0.19/0.53 % (4646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4639)Instruction limit reached!
% 0.19/0.53 % (4639)------------------------------
% 0.19/0.53 % (4639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4639)Termination reason: Unknown
% 0.19/0.53 % (4639)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (4639)Memory used [KB]: 1663
% 0.19/0.53 % (4639)Time elapsed: 0.139 s
% 0.19/0.53 % (4639)Instructions burned: 16 (million)
% 0.19/0.53 % (4639)------------------------------
% 0.19/0.53 % (4639)------------------------------
% 0.19/0.53 % (4638)Instruction limit reached!
% 0.19/0.53 % (4638)------------------------------
% 0.19/0.53 % (4638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4631)Termination reason: Unknown
% 0.19/0.53 % (4631)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (4631)Memory used [KB]: 6140
% 0.19/0.53 % (4631)Time elapsed: 0.123 s
% 0.19/0.53 % (4632)First to succeed.
% 0.19/0.53 % (4631)Instructions burned: 13 (million)
% 0.19/0.53 % (4631)------------------------------
% 0.19/0.53 % (4631)------------------------------
% 0.19/0.53 % (4644)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (4638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4638)Termination reason: Unknown
% 0.19/0.53 % (4638)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (4638)Memory used [KB]: 6140
% 0.19/0.53 % (4638)Time elapsed: 0.143 s
% 0.19/0.53 % (4638)Instructions burned: 7 (million)
% 0.19/0.53 % (4638)------------------------------
% 0.19/0.53 % (4638)------------------------------
% 0.19/0.53 % (4646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4646)Termination reason: Unknown
% 0.19/0.53 % (4646)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (4646)Memory used [KB]: 6140
% 0.19/0.53 % (4646)Time elapsed: 0.146 s
% 0.19/0.53 % (4646)Instructions burned: 12 (million)
% 0.19/0.53 % (4646)------------------------------
% 0.19/0.53 % (4646)------------------------------
% 0.19/0.53 % (4642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4642)Termination reason: Unknown
% 0.19/0.53 % (4642)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (4642)Memory used [KB]: 6140
% 0.19/0.53 % (4642)Time elapsed: 0.129 s
% 0.19/0.53 % (4642)Instructions burned: 7 (million)
% 0.19/0.53 % (4642)------------------------------
% 0.19/0.53 % (4642)------------------------------
% 0.19/0.53 % (4635)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.53 % (4644)Instruction limit reached!
% 0.19/0.53 % (4644)------------------------------
% 0.19/0.53 % (4644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4644)Termination reason: Unknown
% 0.19/0.53 % (4644)Termination phase: Finite model building preprocessing
% 0.19/0.53
% 0.19/0.53 % (4644)Memory used [KB]: 1535
% 0.19/0.53 % (4644)Time elapsed: 0.004 s
% 0.19/0.53 % (4644)Instructions burned: 5 (million)
% 0.19/0.53 % (4644)------------------------------
% 0.19/0.53 % (4644)------------------------------
% 0.19/0.53 % (4655)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53 % (4633)Instruction limit reached!
% 0.19/0.53 % (4633)------------------------------
% 0.19/0.53 % (4633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4633)Termination reason: Unknown
% 0.19/0.53 % (4633)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (4633)Memory used [KB]: 6396
% 0.19/0.53 % (4633)Time elapsed: 0.097 s
% 0.19/0.53 % (4633)Instructions burned: 39 (million)
% 0.19/0.53 % (4633)------------------------------
% 0.19/0.53 % (4633)------------------------------
% 0.19/0.54 % (4645)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (4645)Instruction limit reached!
% 0.19/0.54 % (4645)------------------------------
% 0.19/0.54 % (4645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4645)Termination reason: Unknown
% 0.19/0.54 % (4645)Termination phase: Preprocessing 1
% 0.19/0.54
% 0.19/0.54 % (4645)Memory used [KB]: 1407
% 0.19/0.54 % (4645)Time elapsed: 0.002 s
% 0.19/0.54 % (4645)Instructions burned: 2 (million)
% 0.19/0.54 % (4645)------------------------------
% 0.19/0.54 % (4645)------------------------------
% 0.19/0.54 % (4656)Instruction limit reached!
% 0.19/0.54 % (4656)------------------------------
% 0.19/0.54 % (4656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4632)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (4632)------------------------------
% 0.19/0.54 % (4632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4632)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (4632)Memory used [KB]: 1663
% 0.19/0.54 % (4632)Time elapsed: 0.138 s
% 0.19/0.54 % (4632)Instructions burned: 5 (million)
% 0.19/0.54 % (4632)------------------------------
% 0.19/0.54 % (4632)------------------------------
% 0.19/0.54 % (4626)Success in time 0.191 s
%------------------------------------------------------------------------------