TSTP Solution File: GRP047-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP047-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : n004.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 16:13:49 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f112,plain,
$false,
inference(subsumption_resolution,[],[f73,f18]) ).
fof(f18,plain,
product(identity,a,b),
inference(unit_resulting_resolution,[],[f8,f1,f7]) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X2,X0)
| product(X3,X2,X1)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution3) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f8,axiom,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b) ).
fof(f73,plain,
~ product(identity,a,b),
inference(unit_resulting_resolution,[],[f3,f33,f3,f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ product(X0,X1,X4)
| ~ product(X0,X5,X3)
| product(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
fof(f33,plain,
~ product(multiply(c,identity),a,multiply(c,b)),
inference(unit_resulting_resolution,[],[f11,f1,f3,f5]) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X2,X3)
| ~ product(X0,X1,X4)
| ~ product(X1,X2,X5)
| product(X0,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f11,plain,
~ product(c,a,multiply(c,b)),
inference(unit_resulting_resolution,[],[f9,f3,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f9,axiom,
~ equalish(multiply(c,a),multiply(c,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_multiply_substitution2) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP047-2 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:06:49 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 % (21286)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)
% 0.20/0.47 % (21294)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)
% 0.20/0.48 % (21302)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)
% 0.20/0.48 % (21302)Refutation not found, incomplete strategy% (21302)------------------------------
% 0.20/0.48 % (21302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (21302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (21302)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48 % (21302)Memory used [KB]: 5756
% 0.20/0.48 % (21302)Time elapsed: 0.094 s
% 0.20/0.48 % (21302)Instructions burned: 1 (million)
% 0.20/0.48 % (21302)------------------------------
% 0.20/0.48 % (21302)------------------------------
% 0.20/0.49 % (21283)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)
% 0.20/0.50 % (21290)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)
% 0.20/0.50 % (21288)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50 % (21284)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.50 % (21283)Refutation not found, incomplete strategy% (21283)------------------------------
% 0.20/0.50 % (21283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (21288)Instruction limit reached!
% 0.20/0.50 % (21288)------------------------------
% 0.20/0.50 % (21288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (21288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (21288)Termination reason: Unknown
% 0.20/0.50 % (21288)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (21288)Memory used [KB]: 5756
% 0.20/0.50 % (21288)Time elapsed: 0.099 s
% 0.20/0.50 % (21288)Instructions burned: 5 (million)
% 0.20/0.50 % (21288)------------------------------
% 0.20/0.50 % (21288)------------------------------
% 0.20/0.50 % (21283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (21283)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (21283)Memory used [KB]: 5756
% 0.20/0.50 % (21283)Time elapsed: 0.094 s
% 0.20/0.50 % (21283)Instructions burned: 1 (million)
% 0.20/0.50 % (21283)------------------------------
% 0.20/0.50 % (21283)------------------------------
% 0.20/0.50 % (21294)Instruction limit reached!
% 0.20/0.50 % (21294)------------------------------
% 0.20/0.50 % (21294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (21294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (21294)Termination reason: Unknown
% 0.20/0.50 % (21294)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (21294)Memory used [KB]: 1407
% 0.20/0.50 % (21294)Time elapsed: 0.114 s
% 0.20/0.50 % (21294)Instructions burned: 30 (million)
% 0.20/0.50 % (21294)------------------------------
% 0.20/0.50 % (21294)------------------------------
% 0.20/0.51 % (21300)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)
% 0.20/0.51 % (21279)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51 % (21292)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)
% 0.20/0.51 % (21286)Instruction limit reached!
% 0.20/0.51 % (21286)------------------------------
% 0.20/0.51 % (21286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (21307)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)
% 0.20/0.51 % (21300)First to succeed.
% 0.20/0.51 % (21292)Instruction limit reached!
% 0.20/0.51 % (21292)------------------------------
% 0.20/0.51 % (21292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (21289)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)
% 0.20/0.51 % (21289)Refutation not found, incomplete strategy% (21289)------------------------------
% 0.20/0.51 % (21289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (21289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (21289)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (21289)Memory used [KB]: 5756
% 0.20/0.51 % (21289)Time elapsed: 0.113 s
% 0.20/0.51 % (21289)------------------------------
% 0.20/0.51 % (21289)------------------------------
% 0.20/0.51 % (21306)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)
% 0.20/0.51 % (21292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (21292)Termination reason: Unknown
% 0.20/0.51 % (21292)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (21292)Memory used [KB]: 5756
% 0.20/0.51 % (21292)Time elapsed: 0.109 s
% 0.20/0.51 % (21292)Instructions burned: 5 (million)
% 0.20/0.51 % (21286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (21286)Termination reason: Unknown
% 0.20/0.51 % (21286)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (21286)Memory used [KB]: 1663
% 0.20/0.51 % (21286)Time elapsed: 0.127 s
% 0.20/0.51 % (21286)Instructions burned: 50 (million)
% 0.20/0.51 % (21286)------------------------------
% 0.20/0.51 % (21286)------------------------------
% 0.20/0.51 % (21305)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)
% 0.20/0.51 % (21292)------------------------------
% 0.20/0.51 % (21292)------------------------------
% 0.20/0.51 % (21305)Refutation not found, incomplete strategy% (21305)------------------------------
% 0.20/0.51 % (21305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (21305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (21305)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (21305)Memory used [KB]: 5756
% 0.20/0.51 % (21305)Time elapsed: 0.116 s
% 0.20/0.51 % (21305)Instructions burned: 1 (million)
% 0.20/0.51 % (21305)------------------------------
% 0.20/0.51 % (21305)------------------------------
% 0.20/0.51 % (21300)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (21300)------------------------------
% 0.20/0.51 % (21300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (21300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (21300)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (21300)Memory used [KB]: 1407
% 0.20/0.51 % (21300)Time elapsed: 0.112 s
% 0.20/0.51 % (21300)Instructions burned: 4 (million)
% 0.20/0.51 % (21300)------------------------------
% 0.20/0.51 % (21300)------------------------------
% 0.20/0.51 % (21276)Success in time 0.165 s
%------------------------------------------------------------------------------