TSTP Solution File: FLD022-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD022-3 : 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 : n027.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 16:06:41 EDT 2022
% Result : Unsatisfiable 2.79s 0.72s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f607,plain,
$false,
inference(subsumption_resolution,[],[f606,f33]) ).
fof(f33,axiom,
~ sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
fof(f606,plain,
sum(additive_identity,a,b),
inference(resolution,[],[f603,f470]) ).
fof(f470,plain,
sum(additive_inverse(c),u,b),
inference(resolution,[],[f451,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(f451,plain,
sum(u,additive_inverse(c),b),
inference(resolution,[],[f337,f86]) ).
fof(f86,plain,
! [X1] :
( ~ sum(c,X1,additive_identity)
| sum(u,X1,b) ),
inference(resolution,[],[f61,f41]) ).
fof(f41,plain,
! [X3,X4,X5] :
( ~ sum(b,X4,X5)
| ~ sum(c,X3,X4)
| sum(u,X3,X5) ),
inference(resolution,[],[f2,f32]) ).
fof(f32,axiom,
sum(b,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X1,X2)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f61,plain,
sum(b,additive_identity,b),
inference(resolution,[],[f36,f28]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f36,plain,
! [X0] :
( ~ defined(X0)
| sum(X0,additive_identity,X0) ),
inference(resolution,[],[f5,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f337,plain,
sum(c,additive_inverse(c),additive_identity),
inference(resolution,[],[f299,f5]) ).
fof(f299,plain,
sum(additive_inverse(c),c,additive_identity),
inference(resolution,[],[f4,f29]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f4,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f603,plain,
! [X2] :
( ~ sum(additive_inverse(c),u,X2)
| sum(additive_identity,a,X2) ),
inference(resolution,[],[f335,f34]) ).
fof(f34,plain,
sum(c,a,u),
inference(resolution,[],[f5,f31]) ).
fof(f31,axiom,
sum(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).
fof(f335,plain,
! [X10,X11,X12] :
( ~ sum(c,X10,X11)
| sum(additive_identity,X10,X12)
| ~ sum(additive_inverse(c),X11,X12) ),
inference(resolution,[],[f299,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : FLD022-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % 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 : n027.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 20:50:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.54 % (14697)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)
% 0.21/0.56 % (14716)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)
% 0.21/0.56 % (14705)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)
% 1.65/0.57 % (14695)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)
% 1.65/0.58 % (14695)Refutation not found, incomplete strategy% (14695)------------------------------
% 1.65/0.58 % (14695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58 % (14695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58 % (14695)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.58
% 1.65/0.58 % (14695)Memory used [KB]: 5373
% 1.65/0.58 % (14695)Time elapsed: 0.156 s
% 1.65/0.58 % (14695)Instructions burned: 3 (million)
% 1.65/0.58 % (14695)------------------------------
% 1.65/0.58 % (14695)------------------------------
% 1.85/0.59 % (14710)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)
% 1.85/0.59 % (14698)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.85/0.59 % (14696)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)
% 1.85/0.59 % (14700)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)
% 1.85/0.59 % (14699)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)
% 1.85/0.59 % (14703)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)
% 1.85/0.60 % (14720)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)
% 1.85/0.60 % (14694)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)
% 1.85/0.60 TRYING [1]
% 1.85/0.60 TRYING [2]
% 1.85/0.61 TRYING [1]
% 1.85/0.61 TRYING [3]
% 1.85/0.61 TRYING [2]
% 1.85/0.61 TRYING [3]
% 1.85/0.61 % (14719)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.85/0.61 % (14723)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)
% 1.85/0.61 % (14718)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.85/0.61 % (14721)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)
% 1.85/0.61 % (14715)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.85/0.61 % (14722)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.85/0.61 % (14711)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.85/0.62 TRYING [1]
% 1.85/0.62 TRYING [2]
% 1.85/0.62 % (14701)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.85/0.62 % (14717)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)
% 1.85/0.62 % (14712)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.85/0.62 % (14713)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)
% 1.85/0.62 % (14714)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)
% 1.85/0.63 % (14709)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)
% 1.85/0.63 % (14707)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.85/0.63 % (14704)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.85/0.63 % (14702)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.85/0.63 % (14708)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)
% 1.85/0.63 % (14702)Instruction limit reached!
% 1.85/0.63 % (14702)------------------------------
% 1.85/0.63 % (14702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.63 % (14702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.63 % (14702)Termination reason: Unknown
% 1.85/0.63 % (14702)Termination phase: Blocked clause elimination
% 1.85/0.63
% 1.85/0.63 % (14702)Memory used [KB]: 895
% 1.85/0.63 % (14702)Time elapsed: 0.003 s
% 1.85/0.63 % (14702)Instructions burned: 2 (million)
% 1.85/0.63 % (14702)------------------------------
% 1.85/0.63 % (14702)------------------------------
% 1.85/0.63 % (14706)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.85/0.64 % (14697)Instruction limit reached!
% 1.85/0.64 % (14697)------------------------------
% 1.85/0.64 % (14697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.64 TRYING [3]
% 1.85/0.64 % (14701)Instruction limit reached!
% 1.85/0.64 % (14701)------------------------------
% 1.85/0.64 % (14701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.64 % (14701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.64 % (14701)Termination reason: Unknown
% 1.85/0.64 % (14701)Termination phase: Saturation
% 1.85/0.64
% 1.85/0.64 % (14701)Memory used [KB]: 5500
% 1.85/0.64 % (14701)Time elapsed: 0.183 s
% 1.85/0.64 % (14701)Instructions burned: 7 (million)
% 1.85/0.64 % (14701)------------------------------
% 1.85/0.64 % (14701)------------------------------
% 1.85/0.65 % (14697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.65 % (14697)Termination reason: Unknown
% 1.85/0.65 % (14697)Termination phase: Saturation
% 1.85/0.65
% 1.85/0.65 % (14697)Memory used [KB]: 6012
% 1.85/0.65 % (14697)Time elapsed: 0.207 s
% 1.85/0.65 % (14697)Instructions burned: 52 (million)
% 1.85/0.65 % (14697)------------------------------
% 1.85/0.65 % (14697)------------------------------
% 2.37/0.66 TRYING [4]
% 2.37/0.66 TRYING [4]
% 2.51/0.67 TRYING [4]
% 2.51/0.68 % (14703)Instruction limit reached!
% 2.51/0.68 % (14703)------------------------------
% 2.51/0.68 % (14703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.68 % (14703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.68 % (14703)Termination reason: Unknown
% 2.51/0.68 % (14703)Termination phase: Saturation
% 2.51/0.68
% 2.51/0.68 % (14703)Memory used [KB]: 1023
% 2.51/0.68 % (14703)Time elapsed: 0.221 s
% 2.51/0.68 % (14703)Instructions burned: 51 (million)
% 2.51/0.68 % (14703)------------------------------
% 2.51/0.68 % (14703)------------------------------
% 2.51/0.68 % (14696)Instruction limit reached!
% 2.51/0.68 % (14696)------------------------------
% 2.51/0.68 % (14696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.68 % (14696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.68 % (14696)Termination reason: Unknown
% 2.51/0.68 % (14696)Termination phase: Saturation
% 2.51/0.68
% 2.51/0.68 % (14696)Memory used [KB]: 1279
% 2.51/0.68 % (14696)Time elapsed: 0.263 s
% 2.51/0.68 % (14696)Instructions burned: 38 (million)
% 2.51/0.68 % (14696)------------------------------
% 2.51/0.68 % (14696)------------------------------
% 2.51/0.69 % (14700)Instruction limit reached!
% 2.51/0.69 % (14700)------------------------------
% 2.51/0.69 % (14700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.69 % (14700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.69 % (14700)Termination reason: Unknown
% 2.51/0.69 % (14700)Termination phase: Finite model building constraint generation
% 2.51/0.69
% 2.51/0.69 % (14700)Memory used [KB]: 7803
% 2.51/0.69 % (14700)Time elapsed: 0.257 s
% 2.51/0.69 % (14700)Instructions burned: 52 (million)
% 2.51/0.69 % (14700)------------------------------
% 2.51/0.69 % (14700)------------------------------
% 2.51/0.70 % (14698)Instruction limit reached!
% 2.51/0.70 % (14698)------------------------------
% 2.51/0.70 % (14698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.51/0.70 % (14698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.51/0.70 % (14698)Termination reason: Unknown
% 2.51/0.70 % (14698)Termination phase: Saturation
% 2.51/0.70
% 2.51/0.70 % (14698)Memory used [KB]: 6396
% 2.51/0.70 % (14698)Time elapsed: 0.294 s
% 2.51/0.70 % (14698)Instructions burned: 52 (million)
% 2.51/0.70 % (14698)------------------------------
% 2.51/0.70 % (14698)------------------------------
% 2.79/0.72 % (14699)Instruction limit reached!
% 2.79/0.72 % (14699)------------------------------
% 2.79/0.72 % (14699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.72 % (14699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.72 % (14699)Termination reason: Unknown
% 2.79/0.72 % (14699)Termination phase: Saturation
% 2.79/0.72
% 2.79/0.72 % (14699)Memory used [KB]: 6012
% 2.79/0.72 % (14699)Time elapsed: 0.303 s
% 2.79/0.72 % (14699)Instructions burned: 48 (million)
% 2.79/0.72 % (14699)------------------------------
% 2.79/0.72 % (14699)------------------------------
% 2.79/0.72 % (14717)First to succeed.
% 2.79/0.72 % (14705)Instruction limit reached!
% 2.79/0.72 % (14705)------------------------------
% 2.79/0.72 % (14705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.72 % (14705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.72 % (14705)Termination reason: Unknown
% 2.79/0.72 % (14705)Termination phase: Saturation
% 2.79/0.72
% 2.79/0.72 % (14705)Memory used [KB]: 7164
% 2.79/0.72 % (14705)Time elapsed: 0.311 s
% 2.79/0.72 % (14705)Instructions burned: 100 (million)
% 2.79/0.72 % (14705)------------------------------
% 2.79/0.72 % (14705)------------------------------
% 2.79/0.72 % (14717)Refutation found. Thanks to Tanya!
% 2.79/0.72 % SZS status Unsatisfiable for theBenchmark
% 2.79/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/0.72 % (14717)------------------------------
% 2.79/0.72 % (14717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.79/0.72 % (14717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.79/0.72 % (14717)Termination reason: Refutation
% 2.79/0.72
% 2.79/0.72 % (14717)Memory used [KB]: 5628
% 2.79/0.72 % (14717)Time elapsed: 0.241 s
% 2.79/0.72 % (14717)Instructions burned: 37 (million)
% 2.79/0.72 % (14717)------------------------------
% 2.79/0.72 % (14717)------------------------------
% 2.79/0.72 % (14693)Success in time 0.366 s
%------------------------------------------------------------------------------