TSTP Solution File: FLD032-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : FLD032-1 : 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 : n009.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 0.14s 0.52s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 17
% Syntax : Number of formulae : 44 ( 8 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 99 ( 46 ~; 47 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1115,plain,
$false,
inference(avatar_sat_refutation,[],[f64,f75,f997,f1055,f1080,f1101,f1114]) ).
fof(f1114,plain,
~ spl0_128,
inference(avatar_contradiction_clause,[],[f1102]) ).
fof(f1102,plain,
( $false
| ~ spl0_128 ),
inference(resolution,[],[f1076,f29]) ).
fof(f29,axiom,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_2) ).
fof(f1076,plain,
( equalish(a,additive_identity)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1074,plain,
( spl0_128
<=> equalish(a,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f1101,plain,
( ~ spl0_2
| spl0_128
| spl0_124 ),
inference(avatar_split_clause,[],[f1100,f1052,f1074,f54]) ).
fof(f54,plain,
( spl0_2
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1052,plain,
( spl0_124
<=> defined(multiplicative_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1100,plain,
( equalish(a,additive_identity)
| ~ defined(a)
| spl0_124 ),
inference(resolution,[],[f1054,f15]) ).
fof(f15,axiom,
! [X0] :
( defined(multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f1054,plain,
( ~ defined(multiplicative_inverse(a))
| spl0_124 ),
inference(avatar_component_clause,[],[f1052]) ).
fof(f1080,plain,
( spl0_128
| ~ spl0_2
| spl0_123 ),
inference(avatar_split_clause,[],[f1078,f1048,f54,f1074]) ).
fof(f1048,plain,
( spl0_123
<=> equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1078,plain,
( ~ defined(a)
| equalish(a,additive_identity)
| spl0_123 ),
inference(resolution,[],[f1050,f7]) ).
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f1050,plain,
( ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
| spl0_123 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1055,plain,
( ~ spl0_123
| ~ spl0_2
| ~ spl0_124
| spl0_115 ),
inference(avatar_split_clause,[],[f1042,f994,f1052,f54,f1048]) ).
fof(f994,plain,
( spl0_115
<=> equalish(multiply(multiplicative_inverse(a),a),multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f1042,plain,
( ~ defined(multiplicative_inverse(a))
| ~ defined(a)
| ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
| spl0_115 ),
inference(resolution,[],[f1033,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X1)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f1033,plain,
( ! [X0] :
( ~ equalish(multiply(multiplicative_inverse(a),a),X0)
| ~ equalish(X0,multiplicative_identity) )
| spl0_115 ),
inference(resolution,[],[f996,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f996,plain,
( ~ equalish(multiply(multiplicative_inverse(a),a),multiplicative_identity)
| spl0_115 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f997,plain,
( ~ spl0_115
| ~ spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f982,f72,f54,f994]) ).
fof(f72,plain,
( spl0_4
<=> equalish(multiply(multiplicative_identity,a),multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f982,plain,
( ~ defined(a)
| ~ equalish(multiply(multiplicative_inverse(a),a),multiplicative_identity)
| spl0_4 ),
inference(resolution,[],[f977,f81]) ).
fof(f81,plain,
( ! [X0] :
( ~ equalish(multiply(multiplicative_identity,a),X0)
| ~ equalish(X0,multiplicative_identity) )
| spl0_4 ),
inference(resolution,[],[f74,f23]) ).
fof(f74,plain,
( ~ equalish(multiply(multiplicative_identity,a),multiplicative_identity)
| spl0_4 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f977,plain,
! [X30] :
( equalish(multiply(multiplicative_identity,X30),multiply(multiplicative_inverse(a),X30))
| ~ defined(X30) ),
inference(resolution,[],[f25,f32]) ).
fof(f32,plain,
equalish(multiplicative_identity,multiplicative_inverse(a)),
inference(resolution,[],[f22,f30]) ).
fof(f30,axiom,
equalish(multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverses_equal) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| equalish(multiply(X0,X2),multiply(X1,X2))
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f75,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f70,f72,f54]) ).
fof(f70,plain,
( ~ equalish(multiply(multiplicative_identity,a),multiplicative_identity)
| ~ defined(a) ),
inference(resolution,[],[f42,f36]) ).
fof(f36,plain,
! [X0] :
( equalish(X0,multiply(multiplicative_identity,X0))
| ~ defined(X0) ),
inference(resolution,[],[f6,f22]) ).
fof(f6,axiom,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f42,plain,
! [X1] :
( ~ equalish(a,X1)
| ~ equalish(X1,multiplicative_identity) ),
inference(resolution,[],[f23,f31]) ).
fof(f31,axiom,
~ equalish(a,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_multiplicative_identity_4) ).
fof(f64,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f63]) ).
fof(f63,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f56,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f56,plain,
( ~ defined(a)
| spl0_2 ),
inference(avatar_component_clause,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : FLD032-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.08/0.30 % Computer : n009.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Mon Aug 29 20:34:20 EDT 2022
% 0.08/0.30 % CPUTime :
% 0.14/0.45 % (11417)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.14/0.46 % (11440)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)
% 0.14/0.47 % (11420)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)
% 0.14/0.47 % (11427)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)
% 0.14/0.47 TRYING [1]
% 0.14/0.47 TRYING [2]
% 0.14/0.47 % (11427)Instruction limit reached!
% 0.14/0.47 % (11427)------------------------------
% 0.14/0.47 % (11427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (11420)Instruction limit reached!
% 0.14/0.47 % (11420)------------------------------
% 0.14/0.47 % (11420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (11427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (11427)Termination reason: Unknown
% 0.14/0.47 % (11427)Termination phase: Finite model building SAT solving
% 0.14/0.47
% 0.14/0.47 % (11427)Memory used [KB]: 6012
% 0.14/0.47 % (11427)Time elapsed: 0.113 s
% 0.14/0.47 % (11427)Instructions burned: 6 (million)
% 0.14/0.47 % (11427)------------------------------
% 0.14/0.47 % (11427)------------------------------
% 0.14/0.47 % (11420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (11420)Termination reason: Unknown
% 0.14/0.47 % (11420)Termination phase: Saturation
% 0.14/0.47
% 0.14/0.47 % (11420)Memory used [KB]: 5884
% 0.14/0.47 % (11420)Time elapsed: 0.110 s
% 0.14/0.47 % (11420)Instructions burned: 3 (million)
% 0.14/0.47 % (11432)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)
% 0.14/0.47 % (11420)------------------------------
% 0.14/0.47 % (11420)------------------------------
% 0.14/0.47 % (11435)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)
% 0.14/0.48 % (11432)Instruction limit reached!
% 0.14/0.48 % (11432)------------------------------
% 0.14/0.48 % (11432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (11422)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)
% 0.14/0.49 % (11432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (11432)Termination reason: Unknown
% 0.14/0.49 % (11432)Termination phase: Saturation
% 0.14/0.49
% 0.14/0.49 % (11432)Memory used [KB]: 1407
% 0.14/0.49 % (11432)Time elapsed: 0.122 s
% 0.14/0.49 % (11432)Instructions burned: 7 (million)
% 0.14/0.49 % (11432)------------------------------
% 0.14/0.49 % (11432)------------------------------
% 0.14/0.50 % (11417)First to succeed.
% 0.14/0.50 % (11423)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)
% 0.14/0.50 % (11425)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)
% 0.14/0.50 % (11426)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)
% 0.14/0.51 % (11440)Instruction limit reached!
% 0.14/0.51 % (11440)------------------------------
% 0.14/0.51 % (11440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51 % (11418)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)
% 0.14/0.51 % (11439)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)
% 0.14/0.51 % (11414)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)
% 0.14/0.51 % (11422)Instruction limit reached!
% 0.14/0.51 % (11422)------------------------------
% 0.14/0.51 % (11422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51 % (11412)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.14/0.51 % (11415)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)
% 0.14/0.52 % (11414)Instruction limit reached!
% 0.14/0.52 % (11414)------------------------------
% 0.14/0.52 % (11414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52 % (11428)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)
% 0.14/0.52 % (11424)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)
% 0.14/0.52 % (11441)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)
% 0.14/0.52 % (11438)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)
% 0.14/0.52 % (11417)Refutation found. Thanks to Tanya!
% 0.14/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.52 % (11417)------------------------------
% 0.14/0.52 % (11417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52 % (11417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52 % (11417)Termination reason: Refutation
% 0.14/0.52
% 0.14/0.52 % (11417)Memory used [KB]: 6396
% 0.14/0.52 % (11417)Time elapsed: 0.143 s
% 0.14/0.52 % (11417)Instructions burned: 21 (million)
% 0.14/0.52 % (11417)------------------------------
% 0.14/0.52 % (11417)------------------------------
% 0.14/0.52 % (11411)Success in time 0.21 s
%------------------------------------------------------------------------------