TSTP Solution File: REL002-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : REL002-1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n012.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 18:13:28 EDT 2022
% Result : Unsatisfiable 1.48s 0.60s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 41 unt; 0 def)
% Number of atoms : 41 ( 40 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f430,plain,
$false,
inference(subsumption_resolution,[],[f429,f17]) ).
fof(f17,plain,
top != sF0,
inference(definition_folding,[],[f14,f16]) ).
fof(f16,plain,
join(sk1,top) = sF0,
introduced(function_definition,[]) ).
fof(f14,axiom,
top != join(sk1,top),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f429,plain,
top = sF0,
inference(backward_demodulation,[],[f420,f410]) ).
fof(f410,plain,
! [X1] : top = join(sF0,X1),
inference(backward_demodulation,[],[f262,f393]) ).
fof(f393,plain,
! [X0] : top = join(top,X0),
inference(backward_demodulation,[],[f328,f389]) ).
fof(f389,plain,
! [X1] : top = join(top,complement(X1)),
inference(forward_demodulation,[],[f381,f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f381,plain,
! [X1] : join(X1,complement(X1)) = join(top,complement(X1)),
inference(superposition,[],[f57,f323]) ).
fof(f323,plain,
! [X1] : complement(X1) = join(complement(X1),complement(X1)),
inference(forward_demodulation,[],[f307,f318]) ).
fof(f318,plain,
! [X2] : composition(one,X2) = X2,
inference(backward_demodulation,[],[f292,f314]) ).
fof(f314,plain,
one = converse(one),
inference(superposition,[],[f6,f292]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f292,plain,
! [X2] : composition(converse(one),X2) = X2,
inference(forward_demodulation,[],[f275,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f275,plain,
! [X2] : converse(converse(X2)) = composition(converse(one),X2),
inference(superposition,[],[f31,f6]) ).
fof(f31,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f10,f8]) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f307,plain,
! [X1] : complement(X1) = join(complement(composition(one,X1)),complement(X1)),
inference(superposition,[],[f11,f292]) ).
fof(f11,axiom,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f57,plain,
! [X0,X1] : join(top,X1) = join(X0,join(complement(X0),X1)),
inference(superposition,[],[f2,f12]) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f328,plain,
! [X0] : join(top,complement(complement(X0))) = join(top,X0),
inference(superposition,[],[f63,f324]) ).
fof(f324,plain,
! [X2] : join(zero,complement(complement(X2))) = X2,
inference(backward_demodulation,[],[f130,f323]) ).
fof(f130,plain,
! [X2] : join(zero,complement(join(complement(X2),complement(X2)))) = X2,
inference(forward_demodulation,[],[f110,f18]) ).
fof(f18,plain,
zero = complement(top),
inference(backward_demodulation,[],[f15,f12]) ).
fof(f15,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f13,f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f110,plain,
! [X2] : join(complement(top),complement(join(complement(X2),complement(X2)))) = X2,
inference(superposition,[],[f3,f12]) ).
fof(f3,axiom,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f63,plain,
! [X17] : join(top,X17) = join(top,join(zero,X17)),
inference(superposition,[],[f2,f19]) ).
fof(f19,plain,
top = join(top,zero),
inference(superposition,[],[f12,f18]) ).
fof(f262,plain,
! [X1] : join(sF0,X1) = join(top,join(X1,sk1)),
inference(superposition,[],[f64,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f64,plain,
! [X18] : join(sF0,X18) = join(top,join(sk1,X18)),
inference(superposition,[],[f2,f20]) ).
fof(f20,plain,
join(top,sk1) = sF0,
inference(superposition,[],[f1,f16]) ).
fof(f420,plain,
! [X19] : sF0 = join(sF0,X19),
inference(forward_demodulation,[],[f398,f16]) ).
fof(f398,plain,
! [X19] : join(sk1,top) = join(sF0,X19),
inference(backward_demodulation,[],[f65,f393]) ).
fof(f65,plain,
! [X19] : join(sk1,join(top,X19)) = join(sF0,X19),
inference(superposition,[],[f2,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL002-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % 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 : n012.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 : Tue Aug 30 11:09:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (1264)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)
% 0.19/0.50 % (1255)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)
% 0.19/0.50 % (1247)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 1.33/0.52 % (1269)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)
% 1.33/0.52 % (1270)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.33/0.52 % (1244)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)
% 1.33/0.52 % (1242)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)
% 1.33/0.52 % (1243)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)
% 1.33/0.52 % (1241)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)
% 1.33/0.52 % (1245)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.52 TRYING [1]
% 1.33/0.52 TRYING [2]
% 1.33/0.53 % (1248)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.33/0.53 % (1251)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.33/0.53 % (1250)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)
% 1.33/0.53 % (1248)Instruction limit reached!
% 1.33/0.53 % (1248)------------------------------
% 1.33/0.53 % (1248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (1248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (1248)Termination reason: Unknown
% 1.33/0.53 % (1248)Termination phase: Saturation
% 1.33/0.53
% 1.33/0.53 % (1248)Memory used [KB]: 5500
% 1.33/0.53 % (1248)Time elapsed: 0.130 s
% 1.33/0.53 % (1248)Instructions burned: 9 (million)
% 1.33/0.53 % (1248)------------------------------
% 1.33/0.53 % (1248)------------------------------
% 1.33/0.53 % (1261)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)
% 1.33/0.53 % (1262)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)
% 1.33/0.53 % (1249)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.33/0.53 % (1249)Instruction limit reached!
% 1.33/0.53 % (1249)------------------------------
% 1.33/0.53 % (1249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (1249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (1249)Termination reason: Unknown
% 1.33/0.53 % (1249)Termination phase: Saturation
% 1.33/0.53
% 1.33/0.53 % (1249)Memory used [KB]: 5373
% 1.33/0.53 % (1249)Time elapsed: 0.134 s
% 1.33/0.53 % (1249)Instructions burned: 3 (million)
% 1.33/0.53 % (1249)------------------------------
% 1.33/0.53 % (1249)------------------------------
% 1.33/0.53 % (1265)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)
% 1.48/0.54 % (1267)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.48/0.54 % (1268)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)
% 1.48/0.54 % (1252)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)
% 1.48/0.54 % (1254)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.48/0.54 % (1256)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)
% 1.48/0.54 % (1259)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.48/0.54 % (1260)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.48/0.54 TRYING [1]
% 1.48/0.54 TRYING [2]
% 1.48/0.54 TRYING [3]
% 1.48/0.55 TRYING [3]
% 1.48/0.55 TRYING [4]
% 1.48/0.55 % (1258)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)
% 1.48/0.55 % (1247)Instruction limit reached!
% 1.48/0.55 % (1247)------------------------------
% 1.48/0.55 % (1247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.55 % (1247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.55 % (1247)Termination reason: Unknown
% 1.48/0.55 % (1247)Termination phase: Finite model building constraint generation
% 1.48/0.55
% 1.48/0.55 % (1247)Memory used [KB]: 7547
% 1.48/0.55 % (1247)Time elapsed: 0.096 s
% 1.48/0.55 % (1247)Instructions burned: 51 (million)
% 1.48/0.55 % (1247)------------------------------
% 1.48/0.55 % (1247)------------------------------
% 1.48/0.55 % (1266)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.48/0.56 % (1246)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)
% 1.48/0.56 % (1253)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.48/0.58 TRYING [4]
% 1.48/0.58 % (1263)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.48/0.58 % (1255)Instruction limit reached!
% 1.48/0.58 % (1255)------------------------------
% 1.48/0.58 % (1255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.58 % (1255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.58 % (1255)Termination reason: Unknown
% 1.48/0.58 % (1255)Termination phase: Saturation
% 1.48/0.58
% 1.48/0.58 % (1255)Memory used [KB]: 6780
% 1.48/0.58 % (1255)Time elapsed: 0.063 s
% 1.48/0.58 % (1255)Instructions burned: 68 (million)
% 1.48/0.58 % (1255)------------------------------
% 1.48/0.58 % (1255)------------------------------
% 1.48/0.58 % (1243)Instruction limit reached!
% 1.48/0.58 % (1243)------------------------------
% 1.48/0.58 % (1243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.58 % (1243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.58 % (1243)Termination reason: Unknown
% 1.48/0.58 % (1243)Termination phase: Saturation
% 1.48/0.58
% 1.48/0.58 % (1243)Memory used [KB]: 1535
% 1.48/0.58 % (1243)Time elapsed: 0.165 s
% 1.48/0.58 % (1243)Instructions burned: 37 (million)
% 1.48/0.58 % (1243)------------------------------
% 1.48/0.58 % (1243)------------------------------
% 1.48/0.59 % (1271)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)
% 1.48/0.59 % (1260)First to succeed.
% 1.48/0.60 % (1260)Refutation found. Thanks to Tanya!
% 1.48/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.48/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.60 % (1260)------------------------------
% 1.48/0.60 % (1260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.60 % (1260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.60 % (1260)Termination reason: Refutation
% 1.48/0.60
% 1.48/0.60 % (1260)Memory used [KB]: 5884
% 1.48/0.60 % (1260)Time elapsed: 0.188 s
% 1.48/0.60 % (1260)Instructions burned: 26 (million)
% 1.48/0.60 % (1260)------------------------------
% 1.48/0.60 % (1260)------------------------------
% 1.48/0.60 % (1237)Success in time 0.246 s
%------------------------------------------------------------------------------