TSTP Solution File: FLD031-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD031-1 : 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 : n001.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 16:06:44 EDT 2022
% Result : Unsatisfiable 2.08s 0.75s
% Output : Refutation 2.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 52 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 23 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f621,plain,
$false,
inference(subsumption_resolution,[],[f620,f33]) ).
fof(f33,plain,
~ equalish(sF0,multiplicative_identity),
inference(definition_folding,[],[f31,f32]) ).
fof(f32,plain,
multiplicative_inverse(a) = sF0,
introduced(function_definition,[]) ).
fof(f31,axiom,
~ equalish(multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverses_not_equal) ).
fof(f620,plain,
equalish(sF0,multiplicative_identity),
inference(resolution,[],[f616,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f616,plain,
equalish(multiplicative_identity,sF0),
inference(subsumption_resolution,[],[f611,f29]) ).
fof(f29,axiom,
equalish(a,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_multiplicative_identity_2) ).
fof(f611,plain,
( ~ equalish(a,multiplicative_identity)
| equalish(multiplicative_identity,sF0) ),
inference(resolution,[],[f584,f94]) ).
fof(f94,plain,
! [X0] :
( ~ equalish(multiply(a,sF0),X0)
| equalish(multiplicative_identity,X0) ),
inference(resolution,[],[f91,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| equalish(X0,X2)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f91,plain,
equalish(multiplicative_identity,multiply(a,sF0)),
inference(resolution,[],[f87,f22]) ).
fof(f87,plain,
equalish(multiply(a,sF0),multiplicative_identity),
inference(subsumption_resolution,[],[f86,f30]) ).
fof(f30,axiom,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
fof(f86,plain,
( equalish(a,additive_identity)
| equalish(multiply(a,sF0),multiplicative_identity) ),
inference(subsumption_resolution,[],[f85,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f85,plain,
( equalish(multiply(a,sF0),multiplicative_identity)
| ~ defined(a)
| equalish(a,additive_identity) ),
inference(superposition,[],[f7,f32]) ).
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(f584,plain,
! [X0] :
( equalish(multiply(X0,sF0),sF0)
| ~ equalish(X0,multiplicative_identity) ),
inference(subsumption_resolution,[],[f564,f45]) ).
fof(f45,plain,
defined(sF0),
inference(forward_demodulation,[],[f44,f32]) ).
fof(f44,plain,
defined(multiplicative_inverse(a)),
inference(subsumption_resolution,[],[f43,f28]) ).
fof(f43,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a)) ),
inference(resolution,[],[f15,f30]) ).
fof(f15,axiom,
! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f564,plain,
! [X0] :
( ~ defined(sF0)
| equalish(multiply(X0,sF0),sF0)
| ~ equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f350,f6]) ).
fof(f6,axiom,
! [X0] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f350,plain,
! [X28,X26,X27] :
( ~ equalish(multiply(X26,sF0),X27)
| ~ equalish(X28,X26)
| equalish(multiply(X28,sF0),X27) ),
inference(resolution,[],[f104,f45]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( ~ defined(X2)
| ~ equalish(multiply(X1,X2),X3)
| ~ equalish(X0,X1)
| equalish(multiply(X0,X2),X3) ),
inference(resolution,[],[f25,f23]) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD031-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n001.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 20:58:15 EDT 2022
% 0.14/0.34 % CPUTime :
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% 0.21/0.50 ipcrm: permission denied for id (633405565)
% 0.21/0.50 ipcrm: permission denied for id (638091391)
% 0.90/0.65 % (6980)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 (2998ds/355Mi)
% 0.90/0.65 % (6956)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 (2998ds/48Mi)
% 1.34/0.65 % (6964)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.34/0.66 % (6972)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.34/0.67 % (6963)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.34/0.67 % (6979)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.34/0.67 % (6971)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/176Mi)
% 1.34/0.67 % (6978)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 (2998ds/177Mi)
% 1.34/0.67 % (6952)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.34/0.67 % (6977)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 (2998ds/68Mi)
% 1.34/0.68 % (6955)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.34/0.68 % (6954)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.34/0.68 % (6959)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.34/0.68 % (6959)Instruction limit reached!
% 1.34/0.68 % (6959)------------------------------
% 1.34/0.68 % (6959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.68 % (6959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.68 % (6959)Termination reason: Unknown
% 1.34/0.68 % (6959)Termination phase: Saturation
% 1.34/0.68
% 1.34/0.68 % (6959)Memory used [KB]: 5373
% 1.34/0.68 % (6959)Time elapsed: 0.124 s
% 1.34/0.68 % (6959)Instructions burned: 3 (million)
% 1.34/0.68 % (6959)------------------------------
% 1.34/0.68 % (6959)------------------------------
% 1.34/0.68 % (6958)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.34/0.68 % (6970)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 (2998ds/100Mi)
% 1.34/0.69 % (6952)Refutation not found, incomplete strategy% (6952)------------------------------
% 1.34/0.69 % (6952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.69 % (6952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.69 % (6952)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.69
% 1.34/0.69 % (6952)Memory used [KB]: 5373
% 1.34/0.69 % (6952)Time elapsed: 0.124 s
% 1.34/0.69 % (6952)Instructions burned: 2 (million)
% 1.34/0.69 % (6952)------------------------------
% 1.34/0.69 % (6952)------------------------------
% 1.34/0.69 % (6958)Instruction limit reached!
% 1.34/0.69 % (6958)------------------------------
% 1.34/0.69 % (6958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.69 % (6958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.69 % (6958)Termination reason: Unknown
% 1.34/0.69 % (6958)Termination phase: Saturation
% 1.34/0.69
% 1.34/0.69 % (6958)Memory used [KB]: 5500
% 1.34/0.69 % (6958)Time elapsed: 0.098 s
% 1.34/0.69 % (6958)Instructions burned: 8 (million)
% 1.34/0.69 % (6958)------------------------------
% 1.34/0.69 % (6958)------------------------------
% 1.34/0.69 % (6973)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 (2998ds/498Mi)
% 1.34/0.69 % (6960)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.34/0.69 % (6957)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.34/0.69 % (6969)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.34/0.69 % (6968)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.34/0.69 % (6975)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.34/0.69 % (6965)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 (2998ds/68Mi)
% 1.34/0.70 % (6962)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.34/0.70 TRYING [1]
% 1.34/0.70 % (6951)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 (2998ds/191324Mi)
% 1.34/0.70 TRYING [2]
% 1.34/0.70 TRYING [1]
% 1.34/0.70 TRYING [2]
% 1.34/0.70 TRYING [3]
% 1.34/0.70 TRYING [3]
% 1.34/0.70 % (6953)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.34/0.70 % (6961)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.34/0.71 % (6974)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 (2998ds/467Mi)
% 1.34/0.71 % (6966)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 (2998ds/75Mi)
% 1.34/0.71 TRYING [1]
% 1.34/0.71 % (6976)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.34/0.71 TRYING [2]
% 1.34/0.71 TRYING [3]
% 1.34/0.72 % (6967)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.34/0.74 % (6956)Instruction limit reached!
% 1.34/0.74 % (6956)------------------------------
% 1.34/0.74 % (6956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.74 % (6956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.74 % (6956)Termination reason: Unknown
% 1.34/0.74 % (6956)Termination phase: Saturation
% 1.34/0.74
% 1.34/0.74 % (6956)Memory used [KB]: 5884
% 1.34/0.74 % (6956)Time elapsed: 0.179 s
% 1.34/0.74 % (6956)Instructions burned: 50 (million)
% 1.34/0.74 % (6956)------------------------------
% 1.34/0.74 % (6956)------------------------------
% 1.34/0.75 TRYING [4]
% 1.34/0.75 % (6957)Instruction limit reached!
% 1.34/0.75 % (6957)------------------------------
% 1.34/0.75 % (6957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.75 % (6957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.75 % (6957)Termination reason: Unknown
% 1.34/0.75 % (6957)Termination phase: Finite model building constraint generation
% 1.34/0.75
% 1.34/0.75 % (6957)Memory used [KB]: 7291
% 1.34/0.75 % (6957)Time elapsed: 0.137 s
% 1.34/0.75 % (6957)Instructions burned: 54 (million)
% 1.34/0.75 % (6957)------------------------------
% 1.34/0.75 % (6957)------------------------------
% 1.34/0.75 % (6978)First to succeed.
% 2.08/0.75 % (6978)Refutation found. Thanks to Tanya!
% 2.08/0.75 % SZS status Unsatisfiable for theBenchmark
% 2.08/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.08/0.75 % (6978)------------------------------
% 2.08/0.75 % (6978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.75 % (6978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.75 % (6978)Termination reason: Refutation
% 2.08/0.75
% 2.08/0.75 % (6978)Memory used [KB]: 1407
% 2.08/0.75 % (6978)Time elapsed: 0.179 s
% 2.08/0.75 % (6978)Instructions burned: 36 (million)
% 2.08/0.75 % (6978)------------------------------
% 2.08/0.75 % (6978)------------------------------
% 2.08/0.75 % (6817)Success in time 0.402 s
%------------------------------------------------------------------------------