TSTP Solution File: GRP147-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP147-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n002.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 16:20:35 EDT 2022
% Result : Unsatisfiable 1.83s 0.58s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f574,plain,
$false,
inference(subsumption_resolution,[],[f573,f21]) ).
fof(f21,plain,
sF1 != sF0,
inference(definition_folding,[],[f18,f20,f19,f19]) ).
fof(f19,plain,
least_upper_bound(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f20,plain,
greatest_lower_bound(sF0,c) = sF1,
introduced(function_definition,[]) ).
fof(f18,axiom,
least_upper_bound(a,b) != greatest_lower_bound(least_upper_bound(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_lub1b) ).
fof(f573,plain,
sF1 = sF0,
inference(backward_demodulation,[],[f334,f572]) ).
fof(f572,plain,
least_upper_bound(a,sF1) = sF0,
inference(forward_demodulation,[],[f558,f35]) ).
fof(f35,plain,
sF0 = least_upper_bound(sF0,sF1),
inference(superposition,[],[f10,f20]) ).
fof(f10,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lub_absorbtion) ).
fof(f558,plain,
least_upper_bound(a,sF1) = least_upper_bound(sF0,sF1),
inference(superposition,[],[f123,f480]) ).
fof(f480,plain,
sF1 = least_upper_bound(b,sF1),
inference(superposition,[],[f5,f437]) ).
fof(f437,plain,
sF1 = least_upper_bound(sF1,b),
inference(superposition,[],[f31,f434]) ).
fof(f434,plain,
b = greatest_lower_bound(b,sF1),
inference(forward_demodulation,[],[f428,f104]) ).
fof(f104,plain,
b = greatest_lower_bound(b,sF0),
inference(superposition,[],[f39,f19]) ).
fof(f39,plain,
! [X2,X1] : greatest_lower_bound(X1,least_upper_bound(X2,X1)) = X1,
inference(superposition,[],[f11,f5]) ).
fof(f11,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',glb_absorbtion) ).
fof(f428,plain,
greatest_lower_bound(b,sF1) = greatest_lower_bound(b,sF0),
inference(superposition,[],[f58,f29]) ).
fof(f29,plain,
sF1 = greatest_lower_bound(c,sF0),
inference(superposition,[],[f20,f4]) ).
fof(f4,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_glb) ).
fof(f58,plain,
! [X16] : greatest_lower_bound(b,X16) = greatest_lower_bound(b,greatest_lower_bound(c,X16)),
inference(superposition,[],[f6,f17]) ).
fof(f17,axiom,
b = greatest_lower_bound(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_lub1b_2) ).
fof(f6,axiom,
! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_glb) ).
fof(f31,plain,
! [X2,X1] : least_upper_bound(X1,greatest_lower_bound(X2,X1)) = X1,
inference(superposition,[],[f10,f4]) ).
fof(f5,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_lub) ).
fof(f123,plain,
! [X18] : least_upper_bound(a,least_upper_bound(b,X18)) = least_upper_bound(sF0,X18),
inference(superposition,[],[f7,f19]) ).
fof(f7,axiom,
! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_lub) ).
fof(f334,plain,
least_upper_bound(a,sF1) = sF1,
inference(superposition,[],[f5,f326]) ).
fof(f326,plain,
sF1 = least_upper_bound(sF1,a),
inference(superposition,[],[f31,f323]) ).
fof(f323,plain,
a = greatest_lower_bound(a,sF1),
inference(forward_demodulation,[],[f317,f42]) ).
fof(f42,plain,
a = greatest_lower_bound(a,sF0),
inference(superposition,[],[f11,f19]) ).
fof(f317,plain,
greatest_lower_bound(a,sF1) = greatest_lower_bound(a,sF0),
inference(superposition,[],[f57,f29]) ).
fof(f57,plain,
! [X15] : greatest_lower_bound(a,greatest_lower_bound(c,X15)) = greatest_lower_bound(a,X15),
inference(superposition,[],[f6,f16]) ).
fof(f16,axiom,
a = greatest_lower_bound(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_lub1b_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP147-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:29:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (16463)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)
% 0.19/0.49 % (16457)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)
% 0.19/0.49 % (16472)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)
% 0.19/0.49 TRYING [1]
% 0.19/0.49 TRYING [2]
% 0.19/0.49 % (16468)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 TRYING [3]
% 0.19/0.50 % (16467)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)
% 0.19/0.50 % (16466)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (16466)Instruction limit reached!
% 0.19/0.50 % (16466)------------------------------
% 0.19/0.50 % (16466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (16466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (16466)Termination reason: Unknown
% 0.19/0.50 % (16466)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (16466)Memory used [KB]: 5373
% 0.19/0.50 % (16466)Time elapsed: 0.111 s
% 0.19/0.50 % (16466)Instructions burned: 2 (million)
% 0.19/0.50 % (16466)------------------------------
% 0.19/0.50 % (16466)------------------------------
% 0.19/0.50 % (16462)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)
% 0.19/0.50 % (16469)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)
% 0.19/0.51 % (16460)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)
% 0.19/0.51 % (16481)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)
% 0.19/0.51 % (16458)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (16480)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)
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (16471)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (16482)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51 % (16474)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)
% 0.19/0.52 % (16473)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)
% 0.19/0.52 % (16475)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52 % (16477)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)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (16486)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (16461)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (16459)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)
% 0.19/0.52 % (16479)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (16485)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)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (16478)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)
% 0.19/0.53 % (16487)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)
% 0.19/0.53 % (16463)Instruction limit reached!
% 0.19/0.53 % (16463)------------------------------
% 0.19/0.53 % (16463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16463)Termination reason: Unknown
% 0.19/0.53 % (16463)Termination phase: Finite model building SAT solving
% 0.19/0.53
% 0.19/0.53 % (16463)Memory used [KB]: 7291
% 0.19/0.53 % (16463)Time elapsed: 0.109 s
% 0.19/0.53 % (16463)Instructions burned: 51 (million)
% 0.19/0.53 % (16463)------------------------------
% 0.19/0.53 % (16463)------------------------------
% 0.19/0.53 % (16470)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (16483)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (16484)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)
% 0.19/0.54 % (16464)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (16464)Instruction limit reached!
% 0.19/0.54 % (16464)------------------------------
% 0.19/0.54 % (16464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16464)Termination reason: Unknown
% 0.19/0.54 % (16464)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (16464)Memory used [KB]: 5500
% 0.19/0.54 % (16464)Time elapsed: 0.120 s
% 0.19/0.54 % (16464)Instructions burned: 7 (million)
% 0.19/0.54 % (16464)------------------------------
% 0.19/0.54 % (16464)------------------------------
% 0.19/0.54 % (16476)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (16473)First to succeed.
% 0.19/0.57 TRYING [4]
% 0.19/0.57 TRYING [4]
% 0.19/0.58 % (16462)Instruction limit reached!
% 0.19/0.58 % (16462)------------------------------
% 0.19/0.58 % (16462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (16468)Instruction limit reached!
% 0.19/0.58 % (16468)------------------------------
% 0.19/0.58 % (16468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (16459)Instruction limit reached!
% 0.19/0.58 % (16459)------------------------------
% 0.19/0.58 % (16459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (16459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (16459)Termination reason: Unknown
% 0.19/0.58 % (16459)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (16459)Memory used [KB]: 1663
% 0.19/0.58 % (16459)Time elapsed: 0.170 s
% 0.19/0.58 % (16459)Instructions burned: 38 (million)
% 0.19/0.58 % (16459)------------------------------
% 0.19/0.58 % (16459)------------------------------
% 1.83/0.58 % (16473)Refutation found. Thanks to Tanya!
% 1.83/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.83/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.58 % (16473)------------------------------
% 1.83/0.58 % (16473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.58 % (16473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.58 % (16473)Termination reason: Refutation
% 1.83/0.58
% 1.83/0.58 % (16473)Memory used [KB]: 1535
% 1.83/0.58 % (16473)Time elapsed: 0.133 s
% 1.83/0.58 % (16473)Instructions burned: 31 (million)
% 1.83/0.58 % (16473)------------------------------
% 1.83/0.58 % (16473)------------------------------
% 1.83/0.58 % (16454)Success in time 0.235 s
%------------------------------------------------------------------------------