TSTP Solution File: FLD025-3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD025-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n020.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 16:05:32 EDT 2022
% Result : Unsatisfiable 1.43s 0.55s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 73 ( 43 ~; 29 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f229,plain,
$false,
inference(subsumption_resolution,[],[f228,f17]) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f228,plain,
~ defined(multiplicative_identity),
inference(subsumption_resolution,[],[f224,f31]) ).
fof(f31,axiom,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).
fof(f224,plain,
( ~ product(multiplicative_identity,a,b)
| ~ defined(multiplicative_identity) ),
inference(resolution,[],[f222,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f222,plain,
! [X0] :
( ~ product(multiplicative_identity,X0,multiplicative_identity)
| ~ product(X0,a,b) ),
inference(subsumption_resolution,[],[f218,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f218,plain,
! [X0] :
( ~ product(multiplicative_identity,X0,multiplicative_identity)
| ~ product(X0,a,b)
| ~ defined(a) ),
inference(resolution,[],[f203,f8]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ product(X1,X2,a)
| ~ product(multiplicative_identity,X0,X1)
| ~ product(X0,X2,b) ),
inference(resolution,[],[f201,f63]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X4,X5)
| ~ product(X0,X1,X2)
| ~ product(X2,X3,X5)
| ~ product(X1,X3,X4) ),
inference(resolution,[],[f41,f40]) ).
fof(f40,plain,
! [X2,X0,X1,X4,X5] :
( sP3(X4,X0,X5,X1)
| product(X0,X1,X2)
| ~ product(X4,X5,X2) ),
inference(cnf_transformation,[],[f40_D]) ).
fof(f40_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( product(X0,X1,X2)
| ~ product(X4,X5,X2) )
<=> ~ sP3(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f41,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP3(X4,X0,X5,X1)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1) ),
inference(general_splitting,[],[f6,f40_D]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X0,X1,X2)
| ~ product(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_1) ).
fof(f201,plain,
~ product(multiplicative_identity,b,a),
inference(subsumption_resolution,[],[f200,f29]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f200,plain,
( ~ product(multiplicative_identity,b,a)
| ~ defined(c) ),
inference(subsumption_resolution,[],[f196,f27]) ).
fof(f196,plain,
( ~ product(multiplicative_identity,b,a)
| ~ defined(a)
| ~ defined(c) ),
inference(resolution,[],[f190,f20]) ).
fof(f20,axiom,
! [X3,X0] :
( product(X0,X3,multiply(X0,X3))
| ~ defined(X3)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_multiplication) ).
fof(f190,plain,
! [X0] :
( ~ product(X0,c,multiply(a,c))
| ~ product(multiplicative_identity,b,X0) ),
inference(resolution,[],[f129,f32]) ).
fof(f32,axiom,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).
fof(f129,plain,
! [X14,X12,X13] :
( ~ product(X14,X13,d)
| ~ product(X14,b,X12)
| ~ product(X12,X13,multiply(a,c)) ),
inference(resolution,[],[f92,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( product(X3,X0,X5)
| ~ product(X0,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f92,plain,
! [X3,X4,X5] :
( ~ product(b,X3,X4)
| ~ product(X4,X5,multiply(a,c))
| ~ product(X3,X5,d) ),
inference(resolution,[],[f63,f53]) ).
fof(f53,plain,
~ product(b,d,multiply(a,c)),
inference(resolution,[],[f10,f33]) ).
fof(f33,axiom,
~ product(d,b,multiply(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : FLD025-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 20:38:00 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (18538)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.50 % (18546)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.51 % (18544)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.51 % (18560)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.51 % (18546)Instruction limit reached!
% 0.21/0.51 % (18546)------------------------------
% 0.21/0.51 % (18546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (18546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (18546)Termination reason: Unknown
% 0.21/0.51 % (18546)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (18546)Memory used [KB]: 5884
% 0.21/0.51 % (18546)Time elapsed: 0.114 s
% 0.21/0.51 % (18546)Instructions burned: 6 (million)
% 0.21/0.51 % (18546)------------------------------
% 0.21/0.51 % (18546)------------------------------
% 0.21/0.51 % (18548)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.51 % (18552)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.52 % (18544)Instruction limit reached!
% 0.21/0.52 % (18544)------------------------------
% 0.21/0.52 % (18544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (18540)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.52 % (18549)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.52 % (18535)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.52 % (18547)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.52 % (18547)Instruction limit reached!
% 0.21/0.52 % (18547)------------------------------
% 0.21/0.52 % (18547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (18547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (18547)Termination reason: Unknown
% 0.21/0.52 % (18547)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (18547)Memory used [KB]: 5884
% 0.21/0.52 % (18547)Time elapsed: 0.118 s
% 0.21/0.52 % (18547)Instructions burned: 3 (million)
% 0.21/0.52 % (18547)------------------------------
% 0.21/0.52 % (18547)------------------------------
% 0.21/0.53 % (18537)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.53 % (18536)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.53 % (18534)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.53 % (18543)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (18536)Instruction limit reached!
% 0.21/0.53 % (18536)------------------------------
% 0.21/0.53 % (18536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (18536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (18536)Termination reason: Unknown
% 0.21/0.53 % (18536)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (18536)Memory used [KB]: 5884
% 0.21/0.53 % (18536)Time elapsed: 0.117 s
% 0.21/0.53 % (18536)Instructions burned: 4 (million)
% 0.21/0.53 % (18536)------------------------------
% 0.21/0.53 % (18536)------------------------------
% 0.21/0.53 % (18563)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (18551)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.54 % (18554)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54 % (18541)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (18559)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.54 % (18551)Instruction limit reached!
% 0.21/0.54 % (18551)------------------------------
% 0.21/0.54 % (18551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (18551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (18551)Termination reason: Unknown
% 0.21/0.54 % (18551)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (18551)Memory used [KB]: 5884
% 0.21/0.54 % (18551)Time elapsed: 0.137 s
% 0.21/0.54 % (18551)Instructions burned: 8 (million)
% 0.21/0.54 % (18551)------------------------------
% 0.21/0.54 % (18551)------------------------------
% 0.21/0.54 % (18554)Instruction limit reached!
% 0.21/0.54 % (18554)------------------------------
% 0.21/0.54 % (18554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (18554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (18554)Termination reason: Unknown
% 0.21/0.54 % (18554)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (18554)Memory used [KB]: 1407
% 0.21/0.54 % (18554)Time elapsed: 0.148 s
% 0.21/0.54 % (18554)Instructions burned: 6 (million)
% 0.21/0.54 % (18554)------------------------------
% 0.21/0.54 % (18554)------------------------------
% 0.21/0.54 % (18556)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=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.54 % (18548)First to succeed.
% 0.21/0.54 % (18539)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.54 % (18557)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.43/0.54 % (18544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (18544)Termination reason: Unknown
% 1.43/0.54 % (18544)Termination phase: Saturation
% 1.43/0.54
% 1.43/0.54 % (18544)Memory used [KB]: 6012
% 1.43/0.54 % (18544)Time elapsed: 0.120 s
% 1.43/0.54 % (18544)Instructions burned: 7 (million)
% 1.43/0.54 % (18544)------------------------------
% 1.43/0.54 % (18544)------------------------------
% 1.43/0.54 % (18561)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.43/0.54 % (18550)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.43/0.55 % (18562)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.43/0.55 % (18553)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.43/0.55 % (18550)Instruction limit reached!
% 1.43/0.55 % (18550)------------------------------
% 1.43/0.55 % (18550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55 % (18550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55 % (18550)Termination reason: Unknown
% 1.43/0.55 % (18550)Termination phase: Saturation
% 1.43/0.55
% 1.43/0.55 % (18550)Memory used [KB]: 5884
% 1.43/0.55 % (18550)Time elapsed: 0.149 s
% 1.43/0.55 % (18550)Instructions burned: 3 (million)
% 1.43/0.55 % (18550)------------------------------
% 1.43/0.55 % (18550)------------------------------
% 1.43/0.55 TRYING [1]
% 1.43/0.55 TRYING [2]
% 1.43/0.55 % (18558)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.43/0.55 % (18549)Instruction limit reached!
% 1.43/0.55 % (18549)------------------------------
% 1.43/0.55 % (18549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55 % (18549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55 % (18549)Termination reason: Unknown
% 1.43/0.55 % (18549)Termination phase: Finite model building constraint generation
% 1.43/0.55
% 1.43/0.55 % (18549)Memory used [KB]: 6012
% 1.43/0.55 % (18549)Time elapsed: 0.112 s
% 1.43/0.55 % (18549)Instructions burned: 7 (million)
% 1.43/0.55 % (18549)------------------------------
% 1.43/0.55 % (18549)------------------------------
% 1.43/0.55 % (18555)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.43/0.55 % (18548)Refutation found. Thanks to Tanya!
% 1.43/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.43/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.56 % (18548)------------------------------
% 1.43/0.56 % (18548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.56 % (18548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.56 % (18548)Termination reason: Refutation
% 1.43/0.56
% 1.43/0.56 % (18548)Memory used [KB]: 1535
% 1.43/0.56 % (18548)Time elapsed: 0.120 s
% 1.43/0.56 % (18548)Instructions burned: 22 (million)
% 1.43/0.56 % (18548)------------------------------
% 1.43/0.56 % (18548)------------------------------
% 1.43/0.56 % (18530)Success in time 0.193 s
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