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 : n001.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 18:13:29 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 63 ( 62 unt; 0 def)
% Number of atoms : 64 ( 63 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 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 : 81 ( 79 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f756,plain,
$false,
inference(subsumption_resolution,[],[f755,f47]) ).
fof(f47,plain,
top != sF1,
inference(definition_folding,[],[f37,f46]) ).
fof(f46,plain,
join(sK0,top) = sF1,
introduced(function_definition,[]) ).
fof(f37,plain,
top != join(sK0,top),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
top != join(sK0,top),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f27]) ).
fof(f27,plain,
( ? [X0] : top != join(X0,top)
=> top != join(sK0,top) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0] : top != join(X0,top),
inference(ennf_transformation,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0] : top = join(X0,top),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0] : top = join(X0,top),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f755,plain,
top = sF1,
inference(forward_demodulation,[],[f749,f717]) ).
fof(f717,plain,
top = join(top,top),
inference(superposition,[],[f709,f240]) ).
fof(f240,plain,
join(top,top) = join(top,complement(zero)),
inference(superposition,[],[f117,f33]) ).
fof(f33,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f117,plain,
! [X21] : join(top,X21) = join(top,join(zero,X21)),
inference(superposition,[],[f31,f55]) ).
fof(f55,plain,
top = join(top,zero),
inference(forward_demodulation,[],[f54,f33]) ).
fof(f54,plain,
! [X0] : top = join(join(complement(X0),complement(complement(X0))),zero),
inference(superposition,[],[f33,f45]) ).
fof(f45,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f43,f41]) ).
fof(f41,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f43,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f31,plain,
! [X2,X0,X1] : join(join(X2,X1),X0) = join(X2,join(X1,X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] : join(join(X2,X1),X0) = join(X2,join(X1,X0)),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X1,X2,X0] : join(X0,join(X2,X1)) = join(join(X0,X2),X1),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f709,plain,
! [X1] : top = join(top,complement(X1)),
inference(forward_demodulation,[],[f705,f33]) ).
fof(f705,plain,
! [X1] : join(top,complement(X1)) = join(X1,complement(X1)),
inference(superposition,[],[f108,f632]) ).
fof(f632,plain,
! [X3] : join(complement(X3),complement(X3)) = complement(X3),
inference(forward_demodulation,[],[f631,f630]) ).
fof(f630,plain,
! [X2] : composition(one,X2) = X2,
inference(forward_demodulation,[],[f618,f609]) ).
fof(f609,plain,
! [X2] : composition(converse(one),X2) = X2,
inference(forward_demodulation,[],[f587,f38]) ).
fof(f38,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f587,plain,
! [X2] : composition(converse(one),X2) = converse(converse(X2)),
inference(superposition,[],[f67,f44]) ).
fof(f44,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f67,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f42,f38]) ).
fof(f42,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f618,plain,
! [X2] : composition(one,X2) = composition(converse(one),X2),
inference(superposition,[],[f609,f142]) ).
fof(f142,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f35,f44]) ).
fof(f35,plain,
! [X2,X0,X1] : composition(X0,composition(X2,X1)) = composition(composition(X0,X2),X1),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] : composition(X0,composition(X2,X1)) = composition(composition(X0,X2),X1),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f631,plain,
! [X3] : join(composition(one,complement(X3)),complement(X3)) = complement(X3),
inference(forward_demodulation,[],[f622,f38]) ).
fof(f622,plain,
! [X3] : join(composition(converse(converse(one)),complement(X3)),complement(X3)) = complement(X3),
inference(superposition,[],[f40,f609]) ).
fof(f40,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1,X0] : complement(X0) = join(composition(converse(X1),complement(composition(X1,X0))),complement(X0)),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f108,plain,
! [X0,X1] : join(top,X1) = join(X0,join(complement(X0),X1)),
inference(superposition,[],[f31,f33]) ).
fof(f749,plain,
join(top,top) = sF1,
inference(superposition,[],[f230,f722]) ).
fof(f722,plain,
! [X0] : join(sF1,complement(X0)) = sF1,
inference(forward_demodulation,[],[f719,f46]) ).
fof(f719,plain,
! [X0] : join(sF1,complement(X0)) = join(sK0,top),
inference(superposition,[],[f118,f709]) ).
fof(f118,plain,
! [X22] : join(sF1,X22) = join(sK0,join(top,X22)),
inference(superposition,[],[f31,f46]) ).
fof(f230,plain,
join(top,top) = join(sF1,complement(sK0)),
inference(superposition,[],[f116,f33]) ).
fof(f116,plain,
! [X20] : join(top,join(sK0,X20)) = join(sF1,X20),
inference(superposition,[],[f31,f48]) ).
fof(f48,plain,
join(top,sK0) = sF1,
inference(superposition,[],[f34,f46]) ).
fof(f34,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : REL002+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n001.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 : Tue Aug 30 11:32:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % (2170)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 (3000ds/467Mi)
% 0.19/0.47 % (2164)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.47 TRYING [1]
% 0.19/0.47 % (2154)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.48 % (2154)Instruction limit reached!
% 0.19/0.48 % (2154)------------------------------
% 0.19/0.48 % (2154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (2154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (2154)Termination reason: Unknown
% 0.19/0.48 % (2154)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (2154)Memory used [KB]: 5500
% 0.19/0.48 % (2154)Time elapsed: 0.077 s
% 0.19/0.48 % (2154)Instructions burned: 8 (million)
% 0.19/0.48 % (2154)------------------------------
% 0.19/0.48 % (2154)------------------------------
% 0.19/0.48 % (2157)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.48 % (2155)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.49 TRYING [2]
% 0.19/0.49 % (2176)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 (3000ds/355Mi)
% 0.19/0.49 TRYING [3]
% 0.19/0.49 % (2169)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 (3000ds/498Mi)
% 0.19/0.49 % (2155)Instruction limit reached!
% 0.19/0.49 % (2155)------------------------------
% 0.19/0.49 % (2155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (2155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (2155)Termination reason: Unknown
% 0.19/0.49 % (2155)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (2155)Memory used [KB]: 5373
% 0.19/0.49 % (2155)Time elapsed: 0.087 s
% 0.19/0.49 % (2155)Instructions burned: 3 (million)
% 0.19/0.49 % (2155)------------------------------
% 0.19/0.49 % (2155)------------------------------
% 0.19/0.49 % (2160)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.50 % (2150)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.50 % (2152)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 (3000ds/48Mi)
% 0.19/0.50 % (2158)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.50 % (2159)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.50 % (2156)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 (3000ds/51Mi)
% 0.19/0.50 % (2161)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 (3000ds/68Mi)
% 0.19/0.50 % (2153)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (2149)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 (3000ds/37Mi)
% 0.19/0.51 % (2148)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.51 % (2168)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.51 % (2151)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (2167)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 (3000ds/176Mi)
% 0.19/0.52 % (2147)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 (3000ds/191324Mi)
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (2163)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 (3000ds/99Mi)
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (2162)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 (3000ds/75Mi)
% 0.19/0.52 % (2173)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 (3000ds/68Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.53 % (2172)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (2174)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 (3000ds/177Mi)
% 0.19/0.53 % (2164)Instruction limit reached!
% 0.19/0.53 % (2164)------------------------------
% 0.19/0.53 % (2164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (2175)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.53 % (2171)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.54 % (2165)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.54 % (2166)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 (3000ds/100Mi)
% 0.19/0.55 % (2164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (2164)Termination reason: Unknown
% 0.19/0.55 % (2164)Termination phase: Finite model building constraint generation
% 0.19/0.55
% 0.19/0.55 % (2164)Memory used [KB]: 7803
% 0.19/0.55 % (2164)Time elapsed: 0.141 s
% 0.19/0.55 % (2164)Instructions burned: 61 (million)
% 0.19/0.55 % (2164)------------------------------
% 0.19/0.55 % (2164)------------------------------
% 0.19/0.55 % (2157)Instruction limit reached!
% 0.19/0.55 % (2157)------------------------------
% 0.19/0.55 % (2157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (2160)First to succeed.
% 0.19/0.56 % (2157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (2157)Termination reason: Unknown
% 0.19/0.56 % (2157)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (2157)Memory used [KB]: 6268
% 0.19/0.56 % (2157)Time elapsed: 0.139 s
% 0.19/0.56 % (2157)Instructions burned: 51 (million)
% 0.19/0.56 % (2157)------------------------------
% 0.19/0.56 % (2157)------------------------------
% 0.19/0.56 % (2160)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Theorem for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (2160)------------------------------
% 0.19/0.56 % (2160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (2160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (2160)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (2160)Memory used [KB]: 6012
% 0.19/0.56 % (2160)Time elapsed: 0.173 s
% 0.19/0.56 % (2160)Instructions burned: 36 (million)
% 0.19/0.56 % (2160)------------------------------
% 0.19/0.56 % (2160)------------------------------
% 0.19/0.56 % (2144)Success in time 0.214 s
%------------------------------------------------------------------------------