TSTP Solution File: FLD069-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD069-1 : 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 : n029.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 16:07:02 EDT 2022
% Result : Unsatisfiable 2.45s 0.71s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 14 unt; 0 def)
% Number of atoms : 46 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 19 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f578,plain,
$false,
inference(subsumption_resolution,[],[f575,f32]) ).
fof(f32,axiom,
~ equalish(b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_not_equal_to_additive_identity_5) ).
fof(f575,plain,
equalish(b,additive_identity),
inference(resolution,[],[f573,f69]) ).
fof(f69,plain,
! [X19] :
( ~ equalish(X19,sF0)
| equalish(X19,additive_identity) ),
inference(resolution,[],[f23,f35]) ).
fof(f35,plain,
equalish(sF0,additive_identity),
inference(definition_folding,[],[f33,f34]) ).
fof(f34,plain,
add(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f33,axiom,
equalish(add(a,b),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_equals_additive_identity_6) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| ~ equalish(X0,X1)
| equalish(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f573,plain,
equalish(b,sF0),
inference(resolution,[],[f571,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f571,plain,
equalish(sF0,b),
inference(subsumption_resolution,[],[f570,f36]) ).
fof(f36,plain,
equalish(additive_identity,sF0),
inference(resolution,[],[f22,f35]) ).
fof(f570,plain,
( equalish(sF0,b)
| ~ equalish(additive_identity,sF0) ),
inference(resolution,[],[f472,f71]) ).
fof(f71,plain,
! [X1] :
( less_or_equal(X1,b)
| ~ equalish(additive_identity,X1) ),
inference(resolution,[],[f26,f31]) ).
fof(f31,axiom,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X2)
| ~ equalish(X0,X1)
| less_or_equal(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).
fof(f472,plain,
( ~ less_or_equal(sF0,b)
| equalish(sF0,b) ),
inference(resolution,[],[f458,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ less_or_equal(X1,X0)
| ~ less_or_equal(X0,X1)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).
fof(f458,plain,
less_or_equal(b,sF0),
inference(subsumption_resolution,[],[f444,f29]) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f444,plain,
( ~ defined(b)
| less_or_equal(b,sF0) ),
inference(resolution,[],[f206,f2]) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f206,plain,
! [X1] :
( ~ equalish(add(additive_identity,b),X1)
| less_or_equal(X1,sF0) ),
inference(resolution,[],[f204,f26]) ).
fof(f204,plain,
less_or_equal(add(additive_identity,b),sF0),
inference(subsumption_resolution,[],[f203,f29]) ).
fof(f203,plain,
( ~ defined(b)
| less_or_equal(add(additive_identity,b),sF0) ),
inference(superposition,[],[f104,f34]) ).
fof(f104,plain,
! [X0] :
( less_or_equal(add(additive_identity,X0),add(a,X0))
| ~ defined(X0) ),
inference(resolution,[],[f19,f30]) ).
fof(f30,axiom,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X1)
| ~ defined(X2)
| less_or_equal(add(X0,X2),add(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : FLD069-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.14 % 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 : n029.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 20:55:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (2918)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 % (2910)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)
% 0.20/0.57 % (2931)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)
% 0.20/0.57 % (2923)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)
% 0.20/0.58 % (2915)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.59 % (2934)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)
% 0.20/0.59 % (2921)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.59 % (2922)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)
% 0.20/0.60 % (2915)Instruction limit reached!
% 0.20/0.60 % (2915)------------------------------
% 0.20/0.60 % (2915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (2915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (2915)Termination reason: Unknown
% 0.20/0.60 % (2915)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (2915)Memory used [KB]: 5500
% 0.20/0.60 % (2915)Time elapsed: 0.099 s
% 0.20/0.60 % (2915)Instructions burned: 7 (million)
% 0.20/0.60 % (2915)------------------------------
% 0.20/0.60 % (2915)------------------------------
% 0.20/0.60 % (2919)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)
% 1.71/0.61 % (2914)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)
% 1.71/0.61 % (2908)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)
% 1.71/0.61 % (2913)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)
% 1.71/0.61 TRYING [1]
% 1.71/0.61 TRYING [2]
% 1.71/0.61 TRYING [1]
% 1.71/0.61 TRYING [2]
% 1.71/0.61 TRYING [3]
% 1.71/0.62 % (2912)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.71/0.62 % (2911)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)
% 2.07/0.62 % (2920)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.07/0.63 % (2909)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)
% 2.07/0.63 % (2924)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)
% 2.07/0.63 % (2932)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.07/0.63 % (2927)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)
% 2.07/0.64 % (2928)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)
% 2.07/0.64 TRYING [3]
% 2.07/0.64 % (2935)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)
% 2.07/0.64 % (2936)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.07/0.64 % (2926)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.07/0.64 % (2929)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.07/0.64 % (2937)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)
% 2.07/0.65 % (2916)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.07/0.65 % (2916)Instruction limit reached!
% 2.07/0.65 % (2916)------------------------------
% 2.07/0.65 % (2916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.65 % (2916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.65 % (2916)Termination reason: Unknown
% 2.07/0.65 % (2916)Termination phase: Saturation
% 2.07/0.65
% 2.07/0.65 % (2916)Memory used [KB]: 5373
% 2.07/0.65 % (2916)Time elapsed: 0.214 s
% 2.07/0.65 % (2916)Instructions burned: 3 (million)
% 2.07/0.65 % (2916)------------------------------
% 2.07/0.65 % (2916)------------------------------
% 2.07/0.65 % (2917)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)
% 2.07/0.65 % (2910)Instruction limit reached!
% 2.07/0.65 % (2910)------------------------------
% 2.07/0.65 % (2910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.65 % (2910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.65 % (2910)Termination reason: Unknown
% 2.07/0.65 % (2910)Termination phase: Saturation
% 2.07/0.65
% 2.07/0.65 % (2910)Memory used [KB]: 1279
% 2.07/0.65 % (2910)Time elapsed: 0.191 s
% 2.07/0.65 % (2910)Instructions burned: 37 (million)
% 2.07/0.65 % (2910)------------------------------
% 2.07/0.65 % (2910)------------------------------
% 2.07/0.65 % (2930)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)
% 2.07/0.65 % (2909)Refutation not found, incomplete strategy% (2909)------------------------------
% 2.07/0.65 % (2909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.65 % (2909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.65 % (2909)Termination reason: Refutation not found, incomplete strategy
% 2.07/0.65
% 2.07/0.65 % (2909)Memory used [KB]: 5373
% 2.07/0.65 % (2909)Time elapsed: 0.226 s
% 2.07/0.65 % (2909)Instructions burned: 2 (million)
% 2.07/0.65 % (2909)------------------------------
% 2.07/0.65 % (2909)------------------------------
% 2.07/0.65 % (2925)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.07/0.65 TRYING [1]
% 2.07/0.66 TRYING [2]
% 2.07/0.66 TRYING [3]
% 2.07/0.66 % (2918)Instruction limit reached!
% 2.07/0.66 % (2918)------------------------------
% 2.07/0.66 % (2918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.66 % (2918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.66 % (2918)Termination reason: Unknown
% 2.07/0.66 % (2918)Termination phase: Saturation
% 2.07/0.66
% 2.07/0.66 % (2918)Memory used [KB]: 6524
% 2.07/0.66 % (2918)Time elapsed: 0.217 s
% 2.07/0.66 % (2918)Instructions burned: 50 (million)
% 2.07/0.66 % (2918)------------------------------
% 2.07/0.66 % (2918)------------------------------
% 2.07/0.66 % (2933)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.07/0.66 TRYING [4]
% 2.07/0.66 % (2923)Instruction limit reached!
% 2.07/0.66 % (2923)------------------------------
% 2.07/0.66 % (2923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.66 % (2923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.66 % (2923)Termination reason: Unknown
% 2.07/0.66 % (2923)Termination phase: Saturation
% 2.07/0.66
% 2.07/0.66 % (2923)Memory used [KB]: 1918
% 2.07/0.66 % (2923)Time elapsed: 0.149 s
% 2.07/0.66 % (2923)Instructions burned: 75 (million)
% 2.07/0.66 % (2923)------------------------------
% 2.07/0.66 % (2923)------------------------------
% 2.45/0.67 TRYING [4]
% 2.45/0.69 % (2914)Instruction limit reached!
% 2.45/0.69 % (2914)------------------------------
% 2.45/0.69 % (2914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.69 % (2914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.69 % (2914)Termination reason: Unknown
% 2.45/0.69 % (2914)Termination phase: Finite model building constraint generation
% 2.45/0.69
% 2.45/0.69 % (2914)Memory used [KB]: 7036
% 2.45/0.69 % (2914)Time elapsed: 0.236 s
% 2.45/0.69 % (2914)Instructions burned: 53 (million)
% 2.45/0.69 % (2914)------------------------------
% 2.45/0.69 % (2914)------------------------------
% 2.45/0.70 % (2911)Instruction limit reached!
% 2.45/0.70 % (2911)------------------------------
% 2.45/0.70 % (2911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.71 % (2935)First to succeed.
% 2.45/0.71 % (2935)Refutation found. Thanks to Tanya!
% 2.45/0.71 % SZS status Unsatisfiable for theBenchmark
% 2.45/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.45/0.71 % (2935)------------------------------
% 2.45/0.71 % (2935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.71 % (2935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.71 % (2935)Termination reason: Refutation
% 2.45/0.71
% 2.45/0.71 % (2935)Memory used [KB]: 1407
% 2.45/0.71 % (2935)Time elapsed: 0.279 s
% 2.45/0.71 % (2935)Instructions burned: 32 (million)
% 2.45/0.71 % (2935)------------------------------
% 2.45/0.71 % (2935)------------------------------
% 2.45/0.71 % (2907)Success in time 0.351 s
%------------------------------------------------------------------------------