TSTP Solution File: FLD002-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD002-3 : 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_sat --cores 0 -t %d %s
% Computer : n022.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 16:06:32 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 75 ( 38 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f267,plain,
$false,
inference(subsumption_resolution,[],[f266,f30]) ).
fof(f30,axiom,
~ sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_4) ).
fof(f266,plain,
sum(additive_identity,a,b),
inference(resolution,[],[f220,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f220,plain,
sum(a,additive_identity,b),
inference(subsumption_resolution,[],[f213,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f213,plain,
( sum(a,additive_identity,b)
| ~ defined(b) ),
inference(resolution,[],[f199,f153]) ).
fof(f153,plain,
! [X0,X1] :
( ~ sum(additive_identity,X1,X0)
| ~ defined(X1)
| sum(X0,additive_identity,X1) ),
inference(duplicate_literal_removal,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( ~ defined(X1)
| sum(X0,additive_identity,X1)
| ~ sum(additive_identity,X1,X0)
| ~ defined(X1) ),
inference(resolution,[],[f39,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f39,plain,
! [X6,X7,X4,X5] :
( ~ sum(X6,X7,X5)
| sum(X4,additive_identity,X5)
| ~ defined(X7)
| ~ sum(X6,X7,X4) ),
inference(resolution,[],[f2,f31]) ).
fof(f31,plain,
! [X0] :
( sum(X0,additive_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f5,f3]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| sum(X4,X5,X2)
| ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f199,plain,
sum(additive_identity,b,a),
inference(subsumption_resolution,[],[f198,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f198,plain,
( ~ defined(a)
| sum(additive_identity,b,a) ),
inference(resolution,[],[f192,f34]) ).
fof(f34,plain,
! [X0] :
( product(X0,multiplicative_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f10,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f192,plain,
! [X0] :
( ~ product(a,multiplicative_identity,X0)
| sum(additive_identity,b,X0) ),
inference(resolution,[],[f176,f33]) ).
fof(f33,plain,
product(a,multiplicative_identity,b),
inference(resolution,[],[f10,f29]) ).
fof(f29,axiom,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_3) ).
fof(f176,plain,
! [X4,X5] :
( ~ product(a,multiplicative_identity,X4)
| ~ product(a,multiplicative_identity,X5)
| sum(additive_identity,X4,X5) ),
inference(resolution,[],[f106,f27]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ defined(X2)
| ~ product(X2,multiplicative_identity,X0)
| sum(additive_identity,X0,X1)
| ~ product(X2,multiplicative_identity,X1) ),
inference(subsumption_resolution,[],[f105,f14]) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f105,plain,
! [X2,X0,X1] :
( sum(additive_identity,X0,X1)
| ~ product(X2,multiplicative_identity,X1)
| ~ product(X2,multiplicative_identity,X0)
| ~ defined(additive_identity)
| ~ defined(X2) ),
inference(resolution,[],[f52,f34]) ).
fof(f52,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(additive_identity,X0,X1)
| sum(X1,X3,X4)
| ~ defined(X2)
| ~ product(X2,X0,X3)
| ~ product(X2,X0,X4) ),
inference(resolution,[],[f11,f3]) ).
fof(f11,axiom,
! [X3,X0,X8,X6,X9,X7,X5] :
( ~ sum(X0,X3,X9)
| ~ product(X0,X5,X6)
| ~ product(X3,X5,X7)
| ~ product(X9,X5,X8)
| sum(X6,X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD002-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 20:34:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (25761)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)
% 0.19/0.50 % (25750)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)
% 0.19/0.50 % (25753)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)
% 0.19/0.50 % (25752)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (25746)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (25749)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (25745)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)
% 0.19/0.51 % (25742)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)
% 0.19/0.51 % (25739)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.52 % (25747)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (25748)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)
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (25758)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)
% 0.19/0.52 % (25747)Instruction limit reached!
% 0.19/0.52 % (25747)------------------------------
% 0.19/0.52 % (25747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (25747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (25747)Termination reason: Unknown
% 0.19/0.52 % (25747)Termination phase: Blocked clause elimination
% 0.19/0.52
% 0.19/0.52 % (25747)Memory used [KB]: 895
% 0.19/0.52 % (25747)Time elapsed: 0.004 s
% 0.19/0.52 % (25741)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)
% 0.19/0.52 % (25747)Instructions burned: 2 (million)
% 0.19/0.52 % (25747)------------------------------
% 0.19/0.52 % (25747)------------------------------
% 0.19/0.52 % (25743)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (25744)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)
% 0.19/0.52 % (25746)Instruction limit reached!
% 0.19/0.52 % (25746)------------------------------
% 0.19/0.52 % (25746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (25746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (25746)Termination reason: Unknown
% 0.19/0.52 % (25746)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (25746)Memory used [KB]: 5500
% 0.19/0.52 % (25746)Time elapsed: 0.110 s
% 0.19/0.52 % (25746)Instructions burned: 9 (million)
% 0.19/0.52 % (25746)------------------------------
% 0.19/0.52 % (25746)------------------------------
% 0.19/0.53 % (25751)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (25740)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (25740)Refutation not found, incomplete strategy% (25740)------------------------------
% 0.19/0.53 % (25740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (25740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (25740)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (25740)Memory used [KB]: 5373
% 0.19/0.53 % (25740)Time elapsed: 0.128 s
% 0.19/0.53 % (25740)Instructions burned: 1 (million)
% 0.19/0.53 % (25740)------------------------------
% 0.19/0.53 % (25740)------------------------------
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (25756)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (25764)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (25768)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)
% 0.19/0.53 % (25762)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)
% 0.19/0.53 % (25755)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)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 % (25765)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)
% 0.19/0.54 % (25763)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (25767)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (25760)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (25754)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)
% 0.19/0.54 % (25766)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)
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (25757)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (25759)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)
% 0.19/0.55 TRYING [4]
% 0.19/0.55 % (25745)Instruction limit reached!
% 0.19/0.55 % (25745)------------------------------
% 0.19/0.55 % (25745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (25745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (25745)Termination reason: Unknown
% 0.19/0.55 % (25745)Termination phase: Finite model building constraint generation
% 0.19/0.55
% 0.19/0.55 % (25745)Memory used [KB]: 7803
% 0.19/0.55 % (25745)Time elapsed: 0.120 s
% 0.19/0.55 % (25745)Instructions burned: 52 (million)
% 0.19/0.55 % (25745)------------------------------
% 0.19/0.55 % (25745)------------------------------
% 0.19/0.56 TRYING [4]
% 0.19/0.56 % (25762)First to succeed.
% 0.19/0.56 % (25762)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (25762)------------------------------
% 0.19/0.56 % (25762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (25762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (25762)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (25762)Memory used [KB]: 5500
% 0.19/0.56 % (25762)Time elapsed: 0.171 s
% 0.19/0.56 % (25762)Instructions burned: 17 (million)
% 0.19/0.56 % (25762)------------------------------
% 0.19/0.56 % (25762)------------------------------
% 0.19/0.56 % (25738)Success in time 0.213 s
%------------------------------------------------------------------------------