TSTP Solution File: FLD028-3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD028-3 : 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 : n020.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 16:06:43 EDT 2022
% Result : Unsatisfiable 1.40s 0.61s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 45 ( 22 ~; 23 |; 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 : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f547,plain,
$false,
inference(subsumption_resolution,[],[f546,f34]) ).
fof(f34,axiom,
~ product(multiplicative_identity,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_8) ).
fof(f546,plain,
product(multiplicative_identity,u,v),
inference(subsumption_resolution,[],[f545,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f545,plain,
( ~ defined(a)
| product(multiplicative_identity,u,v) ),
inference(subsumption_resolution,[],[f543,f31]) ).
fof(f31,axiom,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5) ).
fof(f543,plain,
( sum(additive_identity,a,additive_identity)
| product(multiplicative_identity,u,v)
| ~ defined(a) ),
inference(resolution,[],[f210,f9]) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
fof(f210,plain,
! [X1] :
( ~ product(multiplicative_inverse(a),a,X1)
| product(X1,u,v) ),
inference(resolution,[],[f193,f118]) ).
fof(f118,plain,
! [X18,X19,X17] :
( ~ product(X19,b,X18)
| ~ product(X19,a,X17)
| product(X17,u,X18) ),
inference(resolution,[],[f7,f32]) ).
fof(f32,axiom,
product(a,u,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_6) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X1)
| product(X4,X5,X2)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_2) ).
fof(f193,plain,
product(multiplicative_inverse(a),b,v),
inference(subsumption_resolution,[],[f192,f27]) ).
fof(f192,plain,
( product(multiplicative_inverse(a),b,v)
| ~ defined(a) ),
inference(subsumption_resolution,[],[f191,f31]) ).
fof(f191,plain,
( sum(additive_identity,a,additive_identity)
| product(multiplicative_inverse(a),b,v)
| ~ defined(a) ),
inference(resolution,[],[f156,f9]) ).
fof(f156,plain,
! [X2] :
( ~ product(X2,a,multiplicative_identity)
| product(X2,b,v) ),
inference(subsumption_resolution,[],[f152,f30]) ).
fof(f30,axiom,
defined(v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_is_defined) ).
fof(f152,plain,
! [X2] :
( product(X2,b,v)
| ~ product(X2,a,multiplicative_identity)
| ~ defined(v) ),
inference(resolution,[],[f111,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f111,plain,
! [X21,X22,X20] :
( ~ product(X20,v,X21)
| ~ product(X22,a,X20)
| product(X22,b,X21) ),
inference(resolution,[],[f6,f33]) ).
fof(f33,axiom,
product(a,v,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_7) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X1)
| ~ product(X4,X5,X2)
| product(X0,X1,X2)
| ~ product(X0,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : FLD028-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 20:38:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (21236)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)
% 0.20/0.50 % (21243)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)
% 0.20/0.51 % (21254)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)
% 0.20/0.51 % (21241)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (21251)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51 % (21241)Instruction limit reached!
% 0.20/0.51 % (21241)------------------------------
% 0.20/0.51 % (21241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (21241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (21241)Termination reason: Unknown
% 0.20/0.51 % (21241)Termination phase: Blocked clause elimination
% 0.20/0.51
% 0.20/0.51 % (21241)Memory used [KB]: 895
% 0.20/0.51 % (21241)Time elapsed: 0.002 s
% 0.20/0.51 % (21241)Instructions burned: 3 (million)
% 0.20/0.51 % (21241)------------------------------
% 0.20/0.51 % (21241)------------------------------
% 0.20/0.51 % (21244)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (21237)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (21238)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)
% 0.20/0.51 % (21239)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)
% 1.26/0.52 % (21235)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)
% 1.26/0.52 TRYING [1]
% 1.26/0.52 TRYING [2]
% 1.26/0.52 TRYING [3]
% 1.26/0.52 % (21240)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.26/0.52 % (21256)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)
% 1.26/0.52 % (21233)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)
% 1.26/0.52 % (21249)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)
% 1.26/0.53 % (21259)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.26/0.53 TRYING [1]
% 1.26/0.53 TRYING [2]
% 1.26/0.53 % (21246)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.26/0.53 TRYING [3]
% 1.26/0.53 TRYING [1]
% 1.26/0.53 TRYING [2]
% 1.26/0.53 % (21261)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)
% 1.26/0.53 % (21258)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.26/0.53 % (21257)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)
% 1.26/0.53 TRYING [3]
% 1.26/0.53 % (21250)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)
% 1.40/0.53 % (21234)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)
% 1.40/0.54 % (21260)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)
% 1.40/0.54 % (21234)Refutation not found, incomplete strategy% (21234)------------------------------
% 1.40/0.54 % (21234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (21234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54 % (21234)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.54
% 1.40/0.54 % (21234)Memory used [KB]: 5373
% 1.40/0.54 % (21234)Time elapsed: 0.138 s
% 1.40/0.54 % (21234)Instructions burned: 3 (million)
% 1.40/0.54 % (21234)------------------------------
% 1.40/0.54 % (21234)------------------------------
% 1.40/0.54 % (21253)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)
% 1.40/0.54 % (21245)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)
% 1.40/0.54 % (21255)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.40/0.54 % (21240)Instruction limit reached!
% 1.40/0.54 % (21240)------------------------------
% 1.40/0.54 % (21240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54 % (21252)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.54 % (21263)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)
% 1.40/0.54 % (21248)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)
% 1.40/0.54 % (21247)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.55 TRYING [4]
% 1.40/0.55 % (21262)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.40/0.55 % (21251)Instruction limit reached!
% 1.40/0.55 % (21251)------------------------------
% 1.40/0.55 % (21251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (21240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (21240)Termination reason: Unknown
% 1.40/0.55 % (21240)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (21240)Memory used [KB]: 5500
% 1.40/0.55 % (21240)Time elapsed: 0.112 s
% 1.40/0.55 % (21240)Instructions burned: 9 (million)
% 1.40/0.55 % (21240)------------------------------
% 1.40/0.55 % (21240)------------------------------
% 1.40/0.57 TRYING [4]
% 1.40/0.57 % (21251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.57 % (21251)Termination reason: Unknown
% 1.40/0.57 % (21251)Termination phase: Finite model building constraint generation
% 1.40/0.57
% 1.40/0.57 % (21251)Memory used [KB]: 8315
% 1.40/0.57 % (21251)Time elapsed: 0.138 s
% 1.40/0.57 % (21251)Instructions burned: 60 (million)
% 1.40/0.57 % (21251)------------------------------
% 1.40/0.57 % (21251)------------------------------
% 1.40/0.57 % (21243)Instruction limit reached!
% 1.40/0.57 % (21243)------------------------------
% 1.40/0.57 % (21243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.57 % (21243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.57 % (21243)Termination reason: Unknown
% 1.40/0.57 % (21243)Termination phase: Saturation
% 1.40/0.57
% 1.40/0.57 % (21243)Memory used [KB]: 1023
% 1.40/0.57 % (21243)Time elapsed: 0.155 s
% 1.40/0.57 % (21243)Instructions burned: 51 (million)
% 1.40/0.57 % (21243)------------------------------
% 1.40/0.57 % (21243)------------------------------
% 1.40/0.57 TRYING [4]
% 1.40/0.57 % (21236)Instruction limit reached!
% 1.40/0.57 % (21236)------------------------------
% 1.40/0.57 % (21236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.57 % (21236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.57 % (21236)Termination reason: Unknown
% 1.40/0.57 % (21236)Termination phase: Saturation
% 1.40/0.57
% 1.40/0.57 % (21236)Memory used [KB]: 6268
% 1.40/0.57 % (21236)Time elapsed: 0.146 s
% 1.40/0.57 % (21236)Instructions burned: 51 (million)
% 1.40/0.57 % (21236)------------------------------
% 1.40/0.57 % (21236)------------------------------
% 1.40/0.58 % (21244)Instruction limit reached!
% 1.40/0.58 % (21244)------------------------------
% 1.40/0.58 % (21244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.58 % (21244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.58 % (21244)Termination reason: Unknown
% 1.40/0.58 % (21244)Termination phase: Saturation
% 1.40/0.58
% 1.40/0.58 % (21244)Memory used [KB]: 6396
% 1.40/0.58 % (21244)Time elapsed: 0.175 s
% 1.40/0.58 % (21244)Instructions burned: 51 (million)
% 1.40/0.58 % (21244)------------------------------
% 1.40/0.58 % (21244)------------------------------
% 1.40/0.58 % (21235)Instruction limit reached!
% 1.40/0.58 % (21235)------------------------------
% 1.40/0.58 % (21235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.59 % (21235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.59 % (21235)Termination reason: Unknown
% 1.40/0.59 % (21235)Termination phase: Saturation
% 1.40/0.59
% 1.40/0.59 % (21235)Memory used [KB]: 1407
% 1.40/0.59 % (21235)Time elapsed: 0.179 s
% 1.40/0.59 % (21235)Instructions burned: 39 (million)
% 1.40/0.59 % (21235)------------------------------
% 1.40/0.59 % (21235)------------------------------
% 1.40/0.60 % (21237)Instruction limit reached!
% 1.40/0.60 % (21237)------------------------------
% 1.40/0.60 % (21237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.60 % (21239)Instruction limit reached!
% 1.40/0.60 % (21239)------------------------------
% 1.40/0.60 % (21239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.60 % (21239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.60 % (21239)Termination reason: Unknown
% 1.40/0.60 % (21239)Termination phase: Finite model building constraint generation
% 1.40/0.60
% 1.40/0.60 % (21239)Memory used [KB]: 7803
% 1.40/0.60 % (21239)Time elapsed: 0.173 s
% 1.40/0.60 % (21239)Instructions burned: 52 (million)
% 1.40/0.60 % (21239)------------------------------
% 1.40/0.60 % (21239)------------------------------
% 1.40/0.60 % (21238)Instruction limit reached!
% 1.40/0.60 % (21238)------------------------------
% 1.40/0.60 % (21238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.60 % (21238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.60 % (21238)Termination reason: Unknown
% 1.40/0.60 % (21238)Termination phase: Saturation
% 1.40/0.60
% 1.40/0.60 % (21238)Memory used [KB]: 6012
% 1.40/0.60 % (21238)Time elapsed: 0.201 s
% 1.40/0.60 % (21238)Instructions burned: 49 (million)
% 1.40/0.60 % (21238)------------------------------
% 1.40/0.60 % (21238)------------------------------
% 1.40/0.60 % (21261)First to succeed.
% 1.40/0.61 % (21261)Refutation found. Thanks to Tanya!
% 1.40/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.40/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.61 % (21261)------------------------------
% 1.40/0.61 % (21261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.61 % (21261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.61 % (21261)Termination reason: Refutation
% 1.40/0.61
% 1.40/0.61 % (21261)Memory used [KB]: 1279
% 1.40/0.61 % (21261)Time elapsed: 0.203 s
% 1.40/0.61 % (21261)Instructions burned: 37 (million)
% 1.40/0.61 % (21261)------------------------------
% 1.40/0.61 % (21261)------------------------------
% 1.40/0.61 % (21230)Success in time 0.245 s
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