TSTP Solution File: FLD032-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --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 16:06:45 EDT 2022
% Result : Unsatisfiable 0.18s 0.57s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 62 ( 30 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f830,plain,
$false,
inference(subsumption_resolution,[],[f827,f31]) ).
fof(f31,axiom,
~ equalish(a,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_multiplicative_identity_4) ).
fof(f827,plain,
equalish(a,multiplicative_identity),
inference(resolution,[],[f826,f65]) ).
fof(f65,plain,
! [X9] :
( ~ equalish(X9,multiplicative_inverse(a))
| equalish(X9,multiplicative_identity) ),
inference(resolution,[],[f23,f30]) ).
fof(f30,axiom,
equalish(multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverses_equal) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| ~ equalish(X0,X1)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f826,plain,
equalish(a,multiplicative_inverse(a)),
inference(resolution,[],[f824,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f824,plain,
equalish(multiplicative_inverse(a),a),
inference(subsumption_resolution,[],[f820,f39]) ).
fof(f39,plain,
equalish(multiplicative_identity,multiplicative_inverse(a)),
inference(resolution,[],[f22,f30]) ).
fof(f820,plain,
( ~ equalish(multiplicative_identity,multiplicative_inverse(a))
| equalish(multiplicative_inverse(a),a) ),
inference(resolution,[],[f324,f353]) ).
fof(f353,plain,
( ~ equalish(multiply(multiplicative_identity,a),multiplicative_identity)
| equalish(multiplicative_inverse(a),a) ),
inference(resolution,[],[f62,f97]) ).
fof(f97,plain,
! [X3] :
( equalish(multiplicative_inverse(a),X3)
| ~ equalish(X3,multiplicative_identity) ),
inference(resolution,[],[f64,f22]) ).
fof(f64,plain,
! [X8] :
( equalish(X8,multiplicative_inverse(a))
| ~ equalish(X8,multiplicative_identity) ),
inference(resolution,[],[f23,f39]) ).
fof(f62,plain,
! [X6] :
( ~ equalish(X6,multiply(multiplicative_identity,a))
| equalish(X6,a) ),
inference(resolution,[],[f23,f50]) ).
fof(f50,plain,
equalish(multiply(multiplicative_identity,a),a),
inference(resolution,[],[f6,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f6,axiom,
! [X0] :
( ~ defined(X0)
| equalish(multiply(multiplicative_identity,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f324,plain,
! [X0] :
( equalish(multiply(X0,a),multiplicative_identity)
| ~ equalish(X0,multiplicative_inverse(a)) ),
inference(subsumption_resolution,[],[f318,f28]) ).
fof(f318,plain,
! [X0] :
( ~ equalish(X0,multiplicative_inverse(a))
| ~ defined(a)
| equalish(multiply(X0,a),multiplicative_identity) ),
inference(resolution,[],[f261,f25]) ).
fof(f25,axiom,
! [X2,X0,X1] :
( equalish(multiply(X0,X2),multiply(X1,X2))
| ~ defined(X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
fof(f261,plain,
! [X0] :
( ~ equalish(X0,multiply(multiplicative_inverse(a),a))
| equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f256,f23]) ).
fof(f256,plain,
equalish(multiply(multiplicative_inverse(a),a),multiplicative_identity),
inference(subsumption_resolution,[],[f255,f28]) ).
fof(f255,plain,
( equalish(multiply(multiplicative_inverse(a),a),multiplicative_identity)
| ~ defined(a) ),
inference(subsumption_resolution,[],[f250,f54]) ).
fof(f54,plain,
defined(multiplicative_inverse(a)),
inference(subsumption_resolution,[],[f52,f28]) ).
fof(f52,plain,
( defined(multiplicative_inverse(a))
| ~ defined(a) ),
inference(resolution,[],[f15,f29]) ).
fof(f29,axiom,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_2) ).
fof(f15,axiom,
! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f250,plain,
( ~ defined(multiplicative_inverse(a))
| ~ defined(a)
| equalish(multiply(multiplicative_inverse(a),a),multiplicative_identity) ),
inference(resolution,[],[f241,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X1)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f241,plain,
! [X12] :
( ~ equalish(X12,multiply(a,multiplicative_inverse(a)))
| equalish(X12,multiplicative_identity) ),
inference(subsumption_resolution,[],[f240,f29]) ).
fof(f240,plain,
! [X12] :
( ~ equalish(X12,multiply(a,multiplicative_inverse(a)))
| equalish(a,additive_identity)
| equalish(X12,multiplicative_identity) ),
inference(resolution,[],[f67,f28]) ).
fof(f67,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(X0,additive_identity)
| equalish(X1,multiplicative_identity)
| ~ equalish(X1,multiply(X0,multiplicative_inverse(X0))) ),
inference(resolution,[],[f7,f23]) ).
fof(f7,axiom,
! [X0] :
( equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : FLD032-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --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 20:33:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (25626)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)
% 0.18/0.49 % (25652)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)
% 0.18/0.49 % (25623)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 (2999ds/37Mi)
% 0.18/0.49 % (25624)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)
% 0.18/0.49 % (25627)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)
% 0.18/0.49 % (25636)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)
% 0.18/0.49 % (25634)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 % (25630)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 (2999ds/51Mi)
% 0.18/0.50 % (25632)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50 % (25625)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (25644)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.50 % (25641)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)
% 0.18/0.50 % (25639)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.50 % (25629)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (25621)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)
% 0.18/0.50 TRYING [1]
% 0.18/0.50 TRYING [2]
% 0.18/0.50 TRYING [1]
% 0.18/0.50 TRYING [2]
% 0.18/0.50 TRYING [3]
% 0.18/0.50 TRYING [3]
% 0.18/0.51 % (25622)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 % (25640)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51 % (25646)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)
% 0.18/0.51 % (25622)Refutation not found, incomplete strategy% (25622)------------------------------
% 0.18/0.51 % (25622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (25622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (25622)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (25622)Memory used [KB]: 5373
% 0.18/0.51 % (25622)Time elapsed: 0.124 s
% 0.18/0.51 % (25622)Instructions burned: 2 (million)
% 0.18/0.51 % (25622)------------------------------
% 0.18/0.51 % (25622)------------------------------
% 0.18/0.51 % (25628)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51 % (25633)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51 % (25637)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 (2999ds/99Mi)
% 0.18/0.51 % (25651)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.51 % (25649)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)
% 0.18/0.51 % (25631)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 % (25647)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.51 % (25650)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)
% 0.18/0.51 % (25642)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 (2999ds/176Mi)
% 0.18/0.51 TRYING [1]
% 0.18/0.51 % (25645)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)
% 0.18/0.51 TRYING [2]
% 0.18/0.52 TRYING [3]
% 0.18/0.52 % (25635)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)
% 0.18/0.53 % (25628)Instruction limit reached!
% 0.18/0.53 % (25628)------------------------------
% 0.18/0.53 % (25628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (25648)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53 % (25629)Instruction limit reached!
% 0.18/0.53 % (25629)------------------------------
% 0.18/0.53 % (25629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (25629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (25629)Termination reason: Unknown
% 0.18/0.53 % (25629)Termination phase: Blocked clause elimination
% 0.18/0.53
% 0.18/0.53 % (25629)Memory used [KB]: 895
% 0.18/0.53 % (25629)Time elapsed: 0.003 s
% 0.18/0.53 % (25629)Instructions burned: 2 (million)
% 0.18/0.53 % (25629)------------------------------
% 0.18/0.53 % (25629)------------------------------
% 0.18/0.53 TRYING [4]
% 0.18/0.54 % (25628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (25628)Termination reason: Unknown
% 0.18/0.54 % (25628)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (25628)Memory used [KB]: 5500
% 0.18/0.54 % (25628)Time elapsed: 0.114 s
% 0.18/0.54 % (25628)Instructions burned: 7 (million)
% 0.18/0.54 % (25628)------------------------------
% 0.18/0.54 % (25628)------------------------------
% 0.18/0.54 TRYING [4]
% 0.18/0.54 TRYING [4]
% 0.18/0.55 % (25623)First to succeed.
% 0.18/0.55 % (25627)Instruction limit reached!
% 0.18/0.55 % (25627)------------------------------
% 0.18/0.55 % (25627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (25639)Instruction limit reached!
% 0.18/0.56 % (25639)------------------------------
% 0.18/0.56 % (25639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (25626)Instruction limit reached!
% 0.18/0.57 % (25626)------------------------------
% 0.18/0.57 % (25626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (25623)Refutation found. Thanks to Tanya!
% 0.18/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.57 % (25623)------------------------------
% 0.18/0.57 % (25623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (25623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (25623)Termination reason: Refutation
% 0.18/0.57
% 0.18/0.57 % (25623)Memory used [KB]: 1407
% 0.18/0.57 % (25623)Time elapsed: 0.152 s
% 0.18/0.57 % (25623)Instructions burned: 34 (million)
% 0.18/0.57 % (25623)------------------------------
% 0.18/0.57 % (25623)------------------------------
% 0.18/0.57 % (25616)Success in time 0.229 s
%------------------------------------------------------------------------------