TSTP Solution File: FLD033-3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD033-3 : 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 : 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 : Wed Aug 31 16:05:36 EDT 2022
% Result : Unsatisfiable 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 20 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f149,plain,
$false,
inference(unit_resulting_resolution,[],[f31,f37,f136,f136,f7]) ).
fof(f7,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/sandbox/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f136,plain,
product(multiply(multiplicative_inverse(a),m),a,multiplicative_identity),
inference(subsumption_resolution,[],[f135,f28]) ).
fof(f28,axiom,
defined(m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_is_defined) ).
fof(f135,plain,
( product(multiply(multiplicative_inverse(a),m),a,multiplicative_identity)
| ~ defined(m) ),
inference(subsumption_resolution,[],[f134,f36]) ).
fof(f36,plain,
defined(multiplicative_inverse(a)),
inference(subsumption_resolution,[],[f34,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f34,plain,
( defined(multiplicative_inverse(a))
| ~ defined(a) ),
inference(resolution,[],[f29,f18]) ).
fof(f18,axiom,
! [X0] :
( sum(additive_identity,X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f29,axiom,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
fof(f134,plain,
( ~ defined(multiplicative_inverse(a))
| ~ defined(m)
| product(multiply(multiplicative_inverse(a),m),a,multiplicative_identity) ),
inference(resolution,[],[f73,f20]) ).
fof(f20,axiom,
! [X3,X0] :
( product(X0,X3,multiply(X0,X3))
| ~ defined(X0)
| ~ defined(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_multiplication) ).
fof(f73,plain,
! [X2] :
( ~ product(multiplicative_inverse(a),m,X2)
| product(X2,a,multiplicative_identity) ),
inference(subsumption_resolution,[],[f72,f29]) ).
fof(f72,plain,
! [X2] :
( sum(additive_identity,a,additive_identity)
| ~ product(multiplicative_inverse(a),m,X2)
| product(X2,a,multiplicative_identity) ),
inference(subsumption_resolution,[],[f68,f27]) ).
fof(f68,plain,
! [X2] :
( ~ defined(a)
| product(X2,a,multiplicative_identity)
| ~ product(multiplicative_inverse(a),m,X2)
| sum(additive_identity,a,additive_identity) ),
inference(resolution,[],[f38,f9]) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ product(X0,a,X2)
| ~ product(X0,m,X1)
| product(X1,a,X2) ),
inference(resolution,[],[f30,f7]) ).
fof(f30,axiom,
product(m,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_4) ).
fof(f37,plain,
product(a,m,a),
inference(resolution,[],[f30,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f31,axiom,
~ product(multiplicative_identity,m,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : FLD033-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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
% 0.12/0.33 % Computer : n021.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 : Mon Aug 29 20:34:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (28754)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.49 % (28775)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)
% 0.18/0.49 % (28757)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)
% 0.18/0.50 % (28764)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)
% 0.18/0.50 % (28758)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)
% 0.18/0.50 % (28763)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)
% 0.18/0.51 % (28781)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)
% 0.18/0.51 % (28764)Instruction limit reached!
% 0.18/0.51 % (28764)------------------------------
% 0.18/0.51 % (28764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (28759)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.51 % (28780)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)
% 0.18/0.51 % (28760)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)
% 0.18/0.51 % (28764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (28764)Termination reason: Unknown
% 0.18/0.51 % (28764)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (28764)Memory used [KB]: 6012
% 0.18/0.51 % (28764)Time elapsed: 0.134 s
% 0.18/0.51 % (28764)Instructions burned: 7 (million)
% 0.18/0.51 % (28764)------------------------------
% 0.18/0.51 % (28764)------------------------------
% 0.18/0.51 % (28778)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)
% 0.18/0.51 % (28786)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)
% 0.18/0.51 % (28756)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)
% 0.18/0.52 % (28755)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)
% 0.18/0.52 % (28762)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)
% 0.18/0.52 % (28783)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)
% 0.18/0.52 % (28769)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)
% 0.18/0.52 % (28772)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)
% 0.18/0.52 % (28765)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.18/0.52 % (28755)First to succeed.
% 0.18/0.52 % (28762)Instruction limit reached!
% 0.18/0.52 % (28762)------------------------------
% 0.18/0.52 % (28762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (28762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (28762)Termination reason: Unknown
% 0.18/0.52 % (28762)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (28762)Memory used [KB]: 5884
% 0.18/0.52 % (28762)Time elapsed: 0.138 s
% 0.18/0.52 % (28762)Instructions burned: 3 (million)
% 0.18/0.52 % (28762)------------------------------
% 0.18/0.52 % (28762)------------------------------
% 0.18/0.52 % (28779)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)
% 0.18/0.52 % (28777)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)
% 0.18/0.52 % (28768)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)
% 0.18/0.52 % (28775)Instruction limit reached!
% 0.18/0.52 % (28775)------------------------------
% 0.18/0.52 % (28775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (28773)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.53 % (28785)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)
% 0.18/0.53 % (28768)Instruction limit reached!
% 0.18/0.53 % (28768)------------------------------
% 0.18/0.53 % (28768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (28768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (28768)Termination reason: Unknown
% 0.18/0.53 % (28768)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (28768)Memory used [KB]: 5884
% 0.18/0.53 % (28768)Time elapsed: 0.003 s
% 0.18/0.53 % (28768)Instructions burned: 3 (million)
% 0.18/0.53 % (28768)------------------------------
% 0.18/0.53 % (28768)------------------------------
% 0.18/0.53 % (28761)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)
% 0.18/0.53 % (28758)Also succeeded, but the first one will report.
% 0.18/0.53 % (28755)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (28755)------------------------------
% 0.18/0.53 % (28755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (28755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (28755)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (28755)Memory used [KB]: 1535
% 0.18/0.53 % (28755)Time elapsed: 0.140 s
% 0.18/0.53 % (28755)Instructions burned: 9 (million)
% 0.18/0.53 % (28755)------------------------------
% 0.18/0.53 % (28755)------------------------------
% 0.18/0.53 % (28750)Success in time 0.188 s
%------------------------------------------------------------------------------