TSTP Solution File: FLD025-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD025-3 : 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 : n024.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 16:06:42 EDT 2022
% Result : Unsatisfiable 2.31s 0.62s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 51 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f464,plain,
$false,
inference(subsumption_resolution,[],[f463,f35]) ).
fof(f35,plain,
~ product(d,b,sF0),
inference(definition_folding,[],[f33,f34]) ).
fof(f34,plain,
multiply(a,c) = sF0,
introduced(function_definition,[]) ).
fof(f33,axiom,
~ product(d,b,multiply(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_7) ).
fof(f463,plain,
product(d,b,sF0),
inference(subsumption_resolution,[],[f461,f47]) ).
fof(f47,plain,
defined(sF0),
inference(subsumption_resolution,[],[f46,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f46,plain,
( ~ defined(a)
| defined(sF0) ),
inference(subsumption_resolution,[],[f45,f29]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f45,plain,
( ~ defined(c)
| ~ defined(a)
| defined(sF0) ),
inference(superposition,[],[f16,f34]) ).
fof(f16,axiom,
! [X3,X0] :
( defined(multiply(X0,X3))
| ~ defined(X3)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
fof(f461,plain,
( ~ defined(sF0)
| product(d,b,sF0) ),
inference(resolution,[],[f269,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f269,plain,
! [X0] :
( ~ product(multiplicative_identity,sF0,X0)
| product(d,b,X0) ),
inference(resolution,[],[f246,f129]) ).
fof(f129,plain,
! [X14,X12,X13] :
( ~ product(c,X12,X13)
| ~ product(multiplicative_identity,X13,X14)
| product(d,X12,X14) ),
inference(resolution,[],[f7,f32]) ).
fof(f32,axiom,
product(multiplicative_identity,c,d),
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(f246,plain,
product(c,b,sF0),
inference(resolution,[],[f243,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f243,plain,
product(b,c,sF0),
inference(subsumption_resolution,[],[f239,f47]) ).
fof(f239,plain,
( ~ defined(sF0)
| product(b,c,sF0) ),
inference(resolution,[],[f169,f8]) ).
fof(f169,plain,
! [X1] :
( ~ product(multiplicative_identity,sF0,X1)
| product(b,c,X1) ),
inference(resolution,[],[f128,f53]) ).
fof(f53,plain,
product(a,c,sF0),
inference(subsumption_resolution,[],[f52,f29]) ).
fof(f52,plain,
( product(a,c,sF0)
| ~ defined(c) ),
inference(subsumption_resolution,[],[f51,f27]) ).
fof(f51,plain,
( product(a,c,sF0)
| ~ defined(a)
| ~ defined(c) ),
inference(superposition,[],[f20,f34]) ).
fof(f20,axiom,
! [X3,X0] :
( product(X0,X3,multiply(X0,X3))
| ~ defined(X3)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_multiplication) ).
fof(f128,plain,
! [X10,X11,X9] :
( ~ product(a,X9,X10)
| product(b,X9,X11)
| ~ product(multiplicative_identity,X10,X11) ),
inference(resolution,[],[f7,f31]) ).
fof(f31,axiom,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : FLD025-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 29 20:38:19 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.47 % (13051)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)
% 0.16/0.48 % (13060)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)
% 0.16/0.48 % (13052)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)
% 0.16/0.49 % (13059)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)
% 0.16/0.49 % (13043)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)
% 0.16/0.49 TRYING [1]
% 0.16/0.49 TRYING [2]
% 0.16/0.49 TRYING [3]
% 0.16/0.49 % (13039)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)
% 0.16/0.49 % (13044)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.50 % (13046)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)
% 0.16/0.50 % (13050)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.50 % (13038)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)
% 0.16/0.50 % (13047)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.51 % (13044)Instruction limit reached!
% 0.16/0.51 % (13044)------------------------------
% 0.16/0.51 % (13044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (13044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (13044)Termination reason: Unknown
% 0.16/0.51 % (13044)Termination phase: Saturation
% 0.16/0.51
% 0.16/0.51 % (13044)Memory used [KB]: 5500
% 0.16/0.51 % (13044)Time elapsed: 0.082 s
% 0.16/0.51 % (13044)Instructions burned: 8 (million)
% 0.16/0.51 % (13044)------------------------------
% 0.16/0.51 % (13044)------------------------------
% 0.16/0.52 % (13037)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)
% 0.16/0.52 % (13040)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)
% 0.16/0.52 % (13041)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.52 % (13042)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)
% 0.16/0.52 % (13064)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)
% 0.16/0.52 % (13038)Refutation not found, incomplete strategy% (13038)------------------------------
% 0.16/0.52 % (13038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (13053)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)
% 0.16/0.52 % (13057)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)
% 0.16/0.53 TRYING [1]
% 0.16/0.53 % (13065)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.53 % (13056)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)
% 0.16/0.53 % (13038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53 % (13038)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.53
% 0.16/0.53 % (13038)Memory used [KB]: 5373
% 0.16/0.53 % (13038)Time elapsed: 0.132 s
% 0.16/0.53 % (13038)Instructions burned: 3 (million)
% 0.16/0.53 % (13038)------------------------------
% 0.16/0.53 % (13038)------------------------------
% 0.16/0.53 TRYING [4]
% 0.16/0.53 % (13061)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.53 % (13049)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.53 % (13048)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)
% 0.16/0.54 % (13062)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.54 % (13045)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.54 % (13045)Instruction limit reached!
% 0.16/0.54 % (13045)------------------------------
% 0.16/0.54 % (13045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (13045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (13045)Termination reason: Unknown
% 0.16/0.54 % (13045)Termination phase: Blocked clause elimination
% 0.16/0.54
% 0.16/0.54 % (13045)Memory used [KB]: 895
% 0.16/0.54 % (13045)Time elapsed: 0.002 s
% 0.16/0.54 % (13045)Instructions burned: 2 (million)
% 0.16/0.54 % (13045)------------------------------
% 0.16/0.54 % (13045)------------------------------
% 0.16/0.54 TRYING [2]
% 0.16/0.54 % (13066)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)
% 0.16/0.54 TRYING [3]
% 0.16/0.54 % (13063)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)
% 0.16/0.55 % (13058)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.55 % (13043)Instruction limit reached!
% 0.16/0.55 % (13043)------------------------------
% 0.16/0.55 % (13043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55 % (13055)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.55 % (13043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (13043)Termination reason: Unknown
% 0.16/0.55 % (13043)Termination phase: Finite model building constraint generation
% 0.16/0.55
% 0.16/0.55 % (13043)Memory used [KB]: 7675
% 0.16/0.55 % (13043)Time elapsed: 0.168 s
% 0.16/0.55 % (13043)Instructions burned: 51 (million)
% 0.16/0.55 % (13043)------------------------------
% 0.16/0.55 % (13043)------------------------------
% 0.16/0.56 % (13054)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.56 TRYING [1]
% 0.16/0.56 TRYING [2]
% 0.16/0.56 TRYING [3]
% 0.16/0.59 % (13051)Instruction limit reached!
% 0.16/0.59 % (13051)------------------------------
% 0.16/0.59 % (13051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.59 % (13051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.59 % (13051)Termination reason: Unknown
% 0.16/0.59 % (13051)Termination phase: Saturation
% 0.16/0.59
% 0.16/0.59 % (13051)Memory used [KB]: 6268
% 0.16/0.59 % (13051)Time elapsed: 0.063 s
% 0.16/0.59 % (13051)Instructions burned: 68 (million)
% 0.16/0.59 % (13051)------------------------------
% 0.16/0.59 % (13051)------------------------------
% 0.16/0.59 TRYING [4]
% 0.16/0.60 % (13039)Instruction limit reached!
% 0.16/0.60 % (13039)------------------------------
% 0.16/0.60 % (13039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.60 % (13039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.60 % (13039)Termination reason: Unknown
% 0.16/0.60 % (13039)Termination phase: Saturation
% 0.16/0.60
% 0.16/0.60 % (13039)Memory used [KB]: 1407
% 0.16/0.60 % (13039)Time elapsed: 0.221 s
% 0.16/0.60 % (13039)Instructions burned: 37 (million)
% 0.16/0.60 % (13039)------------------------------
% 0.16/0.60 % (13039)------------------------------
% 1.97/0.61 % (13046)Instruction limit reached!
% 1.97/0.61 % (13046)------------------------------
% 1.97/0.61 % (13046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61 % (13046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (13046)Termination reason: Unknown
% 1.97/0.61 % (13046)Termination phase: Saturation
% 1.97/0.61
% 1.97/0.61 % (13046)Memory used [KB]: 1279
% 1.97/0.61 % (13046)Time elapsed: 0.224 s
% 1.97/0.61 % (13046)Instructions burned: 51 (million)
% 1.97/0.61 % (13046)------------------------------
% 1.97/0.61 % (13046)------------------------------
% 1.97/0.61 TRYING [4]
% 2.31/0.62 % (13052)Instruction limit reached!
% 2.31/0.62 % (13052)------------------------------
% 2.31/0.62 % (13052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.62 % (13052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.62 % (13052)Termination reason: Unknown
% 2.31/0.62 % (13052)Termination phase: Saturation
% 2.31/0.62
% 2.31/0.62 % (13052)Memory used [KB]: 1535
% 2.31/0.62 % (13052)Time elapsed: 0.186 s
% 2.31/0.62 % (13052)Instructions burned: 75 (million)
% 2.31/0.62 % (13052)------------------------------
% 2.31/0.62 % (13052)------------------------------
% 2.31/0.62 % (13064)First to succeed.
% 2.31/0.62 % (13064)Refutation found. Thanks to Tanya!
% 2.31/0.62 % SZS status Unsatisfiable for theBenchmark
% 2.31/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.31/0.62 % (13064)------------------------------
% 2.31/0.62 % (13064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.62 % (13064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.62 % (13064)Termination reason: Refutation
% 2.31/0.62
% 2.31/0.62 % (13064)Memory used [KB]: 1279
% 2.31/0.62 % (13064)Time elapsed: 0.251 s
% 2.31/0.62 % (13064)Instructions burned: 34 (million)
% 2.31/0.62 % (13064)------------------------------
% 2.31/0.62 % (13064)------------------------------
% 2.31/0.62 % (13036)Success in time 0.302 s
%------------------------------------------------------------------------------