TSTP Solution File: FLD037-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD037-1 : 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_sat --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 16:06:46 EDT 2022
% Result : Unsatisfiable 1.79s 0.58s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 44 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f369,plain,
$false,
inference(subsumption_resolution,[],[f368,f35]) ).
fof(f35,plain,
~ equalish(multiplicative_identity,sF1),
inference(definition_folding,[],[f32,f34,f33]) ).
fof(f33,plain,
multiplicative_inverse(a) = sF0,
introduced(function_definition,[]) ).
fof(f34,plain,
multiply(b,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f32,axiom,
~ equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity_not_equal_to_multiply_5) ).
fof(f368,plain,
equalish(multiplicative_identity,sF1),
inference(resolution,[],[f342,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f342,plain,
equalish(sF1,multiplicative_identity),
inference(subsumption_resolution,[],[f337,f36]) ).
fof(f36,plain,
equalish(b,a),
inference(resolution,[],[f22,f31]) ).
fof(f31,axiom,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b_4) ).
fof(f337,plain,
( ~ equalish(b,a)
| equalish(sF1,multiplicative_identity) ),
inference(resolution,[],[f99,f107]) ).
fof(f107,plain,
! [X0] :
( equalish(sF1,multiply(X0,sF0))
| ~ equalish(b,X0) ),
inference(subsumption_resolution,[],[f105,f48]) ).
fof(f48,plain,
defined(sF0),
inference(forward_demodulation,[],[f47,f33]) ).
fof(f47,plain,
defined(multiplicative_inverse(a)),
inference(subsumption_resolution,[],[f46,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f46,plain,
( defined(multiplicative_inverse(a))
| ~ defined(a) ),
inference(resolution,[],[f15,f30]) ).
fof(f30,axiom,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
fof(f15,axiom,
! [X0] :
( equalish(X0,additive_identity)
| defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f105,plain,
! [X0] :
( ~ equalish(b,X0)
| equalish(sF1,multiply(X0,sF0))
| ~ defined(sF0) ),
inference(superposition,[],[f25,f34]) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X2),multiply(X1,X2))
| ~ equalish(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f99,plain,
! [X0] :
( ~ equalish(X0,multiply(a,sF0))
| equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f90,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| ~ equalish(X0,X1)
| equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f90,plain,
equalish(multiply(a,sF0),multiplicative_identity),
inference(subsumption_resolution,[],[f89,f30]) ).
fof(f89,plain,
( equalish(multiply(a,sF0),multiplicative_identity)
| equalish(a,additive_identity) ),
inference(subsumption_resolution,[],[f88,f28]) ).
fof(f88,plain,
( equalish(multiply(a,sF0),multiplicative_identity)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(superposition,[],[f7,f33]) ).
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| equalish(X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : FLD037-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.05/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 29 20:50:58 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.47 % (8843)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.15/0.49 % (8838)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.15/0.49 TRYING [1]
% 0.15/0.49 TRYING [2]
% 0.15/0.49 % (8860)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.50 % (8852)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.50 % (8850)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.51 TRYING [3]
% 0.15/0.52 % (8841)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.53 % (8861)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.54 % (8853)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.54 % (8865)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.15/0.54 % (8844)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.54 TRYING [1]
% 0.15/0.54 TRYING [2]
% 0.15/0.55 TRYING [3]
% 0.15/0.55 % (8845)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.55 % (8842)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.55 % (8867)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.15/0.55 % (8857)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.56 % (8859)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.56 % (8863)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.15/0.56 % (8848)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.56 % (8851)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.56 % (8845)Instruction limit reached!
% 0.15/0.56 % (8845)------------------------------
% 0.15/0.56 % (8845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56 % (8845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56 % (8845)Termination reason: Unknown
% 0.15/0.56 % (8845)Termination phase: Saturation
% 0.15/0.56
% 0.15/0.56 % (8845)Memory used [KB]: 5500
% 0.15/0.56 % (8845)Time elapsed: 0.102 s
% 0.15/0.56 % (8845)Instructions burned: 8 (million)
% 0.15/0.56 % (8845)------------------------------
% 0.15/0.56 % (8845)------------------------------
% 1.79/0.57 % (8855)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.79/0.57 TRYING [1]
% 1.79/0.57 % (8866)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.79/0.57 TRYING [4]
% 1.79/0.57 % (8853)First to succeed.
% 1.79/0.57 % (8843)Instruction limit reached!
% 1.79/0.57 % (8843)------------------------------
% 1.79/0.57 % (8843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.57 % (8843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.57 % (8843)Termination reason: Unknown
% 1.79/0.57 % (8843)Termination phase: Saturation
% 1.79/0.57
% 1.79/0.57 % (8843)Memory used [KB]: 6012
% 1.79/0.57 % (8843)Time elapsed: 0.206 s
% 1.79/0.57 % (8843)Instructions burned: 48 (million)
% 1.79/0.57 % (8843)------------------------------
% 1.79/0.57 % (8843)------------------------------
% 1.79/0.58 % (8853)Refutation found. Thanks to Tanya!
% 1.79/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.79/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.58 % (8853)------------------------------
% 1.79/0.58 % (8853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.58 % (8853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.58 % (8853)Termination reason: Refutation
% 1.79/0.58
% 1.79/0.58 % (8853)Memory used [KB]: 1151
% 1.79/0.58 % (8853)Time elapsed: 0.106 s
% 1.79/0.58 % (8853)Instructions burned: 17 (million)
% 1.79/0.58 % (8853)------------------------------
% 1.79/0.58 % (8853)------------------------------
% 1.79/0.58 % (8837)Success in time 0.265 s
%------------------------------------------------------------------------------