TSTP Solution File: FLD035-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD035-3 : 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 : n014.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 0.20s 0.61s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 52 ( 24 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f647,plain,
$false,
inference(subsumption_resolution,[],[f645,f34]) ).
fof(f34,axiom,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_8) ).
fof(f645,plain,
product(multiplicative_identity,a,b),
inference(resolution,[],[f620,f37]) ).
fof(f37,plain,
product(c,a,u),
inference(resolution,[],[f10,f31]) ).
fof(f31,axiom,
product(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f620,plain,
! [X15] :
( ~ product(c,X15,u)
| product(multiplicative_identity,X15,b) ),
inference(subsumption_resolution,[],[f619,f29]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f619,plain,
! [X15] :
( ~ defined(c)
| ~ product(c,X15,u)
| product(multiplicative_identity,X15,b) ),
inference(subsumption_resolution,[],[f617,f33]) ).
fof(f33,axiom,
~ sum(additive_identity,c,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_7) ).
fof(f617,plain,
! [X15] :
( ~ product(c,X15,u)
| product(multiplicative_identity,X15,b)
| sum(additive_identity,c,additive_identity)
| ~ defined(c) ),
inference(resolution,[],[f114,f374]) ).
fof(f374,plain,
product(multiplicative_inverse(c),u,b),
inference(resolution,[],[f347,f10]) ).
fof(f347,plain,
product(u,multiplicative_inverse(c),b),
inference(subsumption_resolution,[],[f346,f33]) ).
fof(f346,plain,
( product(u,multiplicative_inverse(c),b)
| sum(additive_identity,c,additive_identity) ),
inference(subsumption_resolution,[],[f343,f29]) ).
fof(f343,plain,
( ~ defined(c)
| product(u,multiplicative_inverse(c),b)
| sum(additive_identity,c,additive_identity) ),
inference(resolution,[],[f57,f198]) ).
fof(f198,plain,
! [X13] :
( ~ product(c,X13,multiplicative_identity)
| product(u,X13,b) ),
inference(subsumption_resolution,[],[f194,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f194,plain,
! [X13] :
( product(u,X13,b)
| ~ defined(b)
| ~ product(c,X13,multiplicative_identity) ),
inference(resolution,[],[f39,f119]) ).
fof(f119,plain,
! [X24,X22,X23] :
( ~ product(b,X23,X24)
| ~ product(c,X22,X23)
| product(u,X22,X24) ),
inference(resolution,[],[f7,f32]) ).
fof(f32,axiom,
product(b,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| ~ product(X0,X1,X2)
| product(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f39,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/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f57,plain,
! [X0] :
( product(X0,multiplicative_inverse(X0),multiplicative_identity)
| ~ defined(X0)
| sum(additive_identity,X0,additive_identity) ),
inference(resolution,[],[f9,f10]) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f114,plain,
! [X6,X7,X4,X5] :
( ~ product(multiplicative_inverse(X4),X6,X7)
| ~ defined(X4)
| ~ product(X4,X5,X6)
| sum(additive_identity,X4,additive_identity)
| product(multiplicative_identity,X5,X7) ),
inference(resolution,[],[f7,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD035-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % 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 : n014.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 20:38:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (1209)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (1211)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (1209)Instruction limit reached!
% 0.20/0.52 % (1209)------------------------------
% 0.20/0.52 % (1209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (1209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (1209)Termination reason: Unknown
% 0.20/0.52 % (1209)Termination phase: Blocked clause elimination
% 0.20/0.52
% 0.20/0.52 % (1209)Memory used [KB]: 895
% 0.20/0.52 % (1209)Time elapsed: 0.004 s
% 0.20/0.52 % (1209)Instructions burned: 2 (million)
% 0.20/0.52 % (1209)------------------------------
% 0.20/0.52 % (1209)------------------------------
% 0.20/0.52 % (1199)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)
% 0.20/0.52 % (1205)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 % (1212)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)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (1217)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)
% 0.20/0.53 % (1201)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)
% 0.20/0.53 % (1206)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)
% 0.20/0.53 % (1210)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)
% 0.20/0.54 % (1204)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)
% 0.20/0.54 % (1207)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)
% 0.20/0.54 % (1229)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)
% 0.20/0.54 % (1214)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (1222)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (1226)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (1231)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)
% 0.20/0.55 % (1230)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 % (1219)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (1200)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)
% 0.20/0.55 % (1223)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)
% 0.20/0.55 % (1225)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (1200)Refutation not found, incomplete strategy% (1200)------------------------------
% 0.20/0.55 % (1200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (1200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (1200)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (1200)Memory used [KB]: 5373
% 0.20/0.55 % (1200)Time elapsed: 0.142 s
% 0.20/0.55 % (1200)Instructions burned: 3 (million)
% 0.20/0.55 % (1200)------------------------------
% 0.20/0.55 % (1200)------------------------------
% 0.20/0.55 % (1216)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)
% 0.20/0.55 % (1224)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)
% 0.20/0.55 TRYING [4]
% 0.20/0.55 % (1213)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.56 % (1215)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)
% 0.20/0.56 % (1221)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)
% 0.20/0.56 % (1220)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)
% 0.20/0.56 % (1208)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (1208)Instruction limit reached!
% 0.20/0.56 % (1208)------------------------------
% 0.20/0.56 % (1208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (1208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (1208)Termination reason: Unknown
% 0.20/0.56 % (1208)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (1208)Memory used [KB]: 5500
% 0.20/0.56 % (1208)Time elapsed: 0.160 s
% 0.20/0.56 % (1208)Instructions burned: 8 (million)
% 0.20/0.56 % (1208)------------------------------
% 0.20/0.56 % (1208)------------------------------
% 0.20/0.57 TRYING [4]
% 0.20/0.57 % (1227)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)
% 0.20/0.57 % (1218)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.57 % (1201)Instruction limit reached!
% 0.20/0.57 % (1201)------------------------------
% 0.20/0.57 % (1201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (1201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (1201)Termination reason: Unknown
% 0.20/0.57 % (1201)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (1201)Memory used [KB]: 1407
% 0.20/0.57 % (1201)Time elapsed: 0.172 s
% 0.20/0.57 % (1201)Instructions burned: 39 (million)
% 0.20/0.57 % (1201)------------------------------
% 0.20/0.57 % (1201)------------------------------
% 0.20/0.57 TRYING [1]
% 0.20/0.57 TRYING [2]
% 0.20/0.58 TRYING [3]
% 0.20/0.58 % (1207)Instruction limit reached!
% 0.20/0.58 % (1207)------------------------------
% 0.20/0.58 % (1207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 TRYING [4]
% 0.20/0.61 % (1207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (1207)Termination reason: Unknown
% 0.20/0.61 % (1207)Termination phase: Finite model building constraint generation
% 0.20/0.61
% 0.20/0.61 % (1207)Memory used [KB]: 7803
% 0.20/0.61 % (1207)Time elapsed: 0.174 s
% 0.20/0.61 % (1207)Instructions burned: 52 (million)
% 0.20/0.61 % (1207)------------------------------
% 0.20/0.61 % (1207)------------------------------
% 0.20/0.61 % (1211)Instruction limit reached!
% 0.20/0.61 % (1211)------------------------------
% 0.20/0.61 % (1211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (1211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (1211)Termination reason: Unknown
% 0.20/0.61 % (1211)Termination phase: Saturation
% 0.20/0.61
% 0.20/0.61 % (1211)Memory used [KB]: 6268
% 0.20/0.61 % (1211)Time elapsed: 0.191 s
% 0.20/0.61 % (1211)Instructions burned: 50 (million)
% 0.20/0.61 % (1211)------------------------------
% 0.20/0.61 % (1211)------------------------------
% 0.20/0.61 % (1210)Instruction limit reached!
% 0.20/0.61 % (1210)------------------------------
% 0.20/0.61 % (1210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (1229)First to succeed.
% 0.20/0.61 % (1210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (1210)Termination reason: Unknown
% 0.20/0.61 % (1210)Termination phase: Saturation
% 0.20/0.61
% 0.20/0.61 % (1210)Memory used [KB]: 1023
% 0.20/0.61 % (1210)Time elapsed: 0.175 s
% 0.20/0.61 % (1210)Instructions burned: 53 (million)
% 0.20/0.61 % (1210)------------------------------
% 0.20/0.61 % (1210)------------------------------
% 0.20/0.61 % (1229)Refutation found. Thanks to Tanya!
% 0.20/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61 % (1229)------------------------------
% 0.20/0.61 % (1229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (1229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (1229)Termination reason: Refutation
% 0.20/0.61
% 0.20/0.61 % (1229)Memory used [KB]: 1279
% 0.20/0.61 % (1229)Time elapsed: 0.210 s
% 0.20/0.61 % (1229)Instructions burned: 43 (million)
% 0.20/0.61 % (1229)------------------------------
% 0.20/0.61 % (1229)------------------------------
% 0.20/0.61 % (1198)Success in time 0.255 s
%------------------------------------------------------------------------------