TSTP Solution File: COL002-10 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL002-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n026.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 15:51:30 EDT 2022
% Result : Unsatisfiable 0.21s 0.63s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f503,plain,
$false,
inference(subsumption_resolution,[],[f502,f13]) ).
fof(f13,plain,
! [X3] : true != sF4(X3),
inference(definition_folding,[],[f7,f12,f11,f10,f9,f8,f10,f9,f8]) ).
fof(f8,plain,
! [X3] : apply(b,X3) = sF0(X3),
introduced(function_definition,[]) ).
fof(f9,plain,
! [X3] : sF1(X3) = apply(s,sF0(X3)),
introduced(function_definition,[]) ).
fof(f10,plain,
! [X3] : sF2(X3) = apply(sF1(X3),i),
introduced(function_definition,[]) ).
fof(f11,plain,
! [X3] : sF3(X3) = apply(sF2(X3),sF2(X3)),
introduced(function_definition,[]) ).
fof(f12,plain,
! [X3] : fixed_point(sF3(X3)) = sF4(X3),
introduced(function_definition,[]) ).
fof(f7,axiom,
! [X3] : true != fixed_point(apply(apply(apply(s,apply(b,X3)),i),apply(apply(s,apply(b,X3)),i))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_weak_fixed_point) ).
fof(f502,plain,
true = sF4(fixed_pt),
inference(forward_demodulation,[],[f501,f12]) ).
fof(f501,plain,
true = fixed_point(sF3(fixed_pt)),
inference(forward_demodulation,[],[f489,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f489,plain,
true = ifeq(sF3(fixed_pt),sF3(fixed_pt),fixed_point(sF3(fixed_pt)),true),
inference(superposition,[],[f6,f448]) ).
fof(f448,plain,
! [X3] : apply(X3,sF3(X3)) = sF3(X3),
inference(backward_demodulation,[],[f11,f173]) ).
fof(f173,plain,
! [X24,X25] : apply(X25,sF3(X24)) = apply(sF2(X25),sF2(X24)),
inference(superposition,[],[f159,f11]) ).
fof(f159,plain,
! [X4,X5] : apply(X4,apply(X5,X5)) = apply(sF2(X4),X5),
inference(forward_demodulation,[],[f158,f10]) ).
fof(f158,plain,
! [X4,X5] : apply(X4,apply(X5,X5)) = apply(apply(sF1(X4),i),X5),
inference(forward_demodulation,[],[f134,f9]) ).
fof(f134,plain,
! [X4,X5] : apply(X4,apply(X5,X5)) = apply(apply(apply(s,sF0(X4)),i),X5),
inference(superposition,[],[f26,f15]) ).
fof(f15,plain,
! [X3,X4,X5] : apply(X3,apply(X4,X5)) = apply(apply(sF0(X3),X4),X5),
inference(forward_demodulation,[],[f3,f8]) ).
fof(f3,axiom,
! [X3,X4,X5] : apply(apply(apply(b,X3),X4),X5) = apply(X3,apply(X4,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
fof(f26,plain,
! [X0,X1] : apply(apply(X1,X0),X0) = apply(apply(apply(s,X1),i),X0),
inference(superposition,[],[f2,f5]) ).
fof(f5,axiom,
! [X3] : apply(i,X3) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_definition) ).
fof(f2,axiom,
! [X3,X4,X5] : apply(apply(apply(s,X3),X4),X5) = apply(apply(X3,X5),apply(X4,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).
fof(f6,axiom,
! [X6] : true = ifeq(X6,apply(fixed_pt,X6),fixed_point(X6),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',weak_fixed_point) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL002-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 16:46:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.54 % (9385)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.56 % (9375)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.21/0.56 % (9377)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.56 % (9390)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.21/0.57 % (9380)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.57 % (9376)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.21/0.57 % (9382)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.58 % (9381)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.59 % (9381)Instruction limit reached!
% 0.21/0.59 % (9381)------------------------------
% 0.21/0.59 % (9381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (9381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (9381)Termination reason: Unknown
% 0.21/0.59 % (9381)Termination phase: Saturation
% 0.21/0.59
% 0.21/0.59 % (9381)Memory used [KB]: 5628
% 0.21/0.59 % (9381)Time elapsed: 0.164 s
% 0.21/0.59 % (9381)Instructions burned: 8 (million)
% 0.21/0.59 % (9381)------------------------------
% 0.21/0.59 % (9381)------------------------------
% 0.21/0.59 % (9398)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.21/0.59 % (9386)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.59 % (9387)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.21/0.60 % (9393)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.60 % (9397)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.21/0.60 % (9378)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.60 % (9376)Instruction limit reached!
% 0.21/0.60 % (9376)------------------------------
% 0.21/0.60 % (9376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (9376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60 % (9376)Termination reason: Unknown
% 0.21/0.60 % (9376)Termination phase: Saturation
% 0.21/0.60
% 0.21/0.60 % (9376)Memory used [KB]: 5628
% 0.21/0.60 % (9376)Time elapsed: 0.186 s
% 0.21/0.60 % (9376)Instructions burned: 10 (million)
% 0.21/0.60 % (9376)------------------------------
% 0.21/0.60 % (9376)------------------------------
% 0.21/0.60 % (9378)Instruction limit reached!
% 0.21/0.60 % (9378)------------------------------
% 0.21/0.60 % (9378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (9378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60 % (9378)Termination reason: Unknown
% 0.21/0.60 % (9378)Termination phase: Saturation
% 0.21/0.60
% 0.21/0.60 % (9378)Memory used [KB]: 5500
% 0.21/0.60 % (9378)Time elapsed: 0.184 s
% 0.21/0.60 % (9378)Instructions burned: 6 (million)
% 0.21/0.60 % (9378)------------------------------
% 0.21/0.60 % (9378)------------------------------
% 0.21/0.60 % (9399)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.21/0.60 % (9400)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.60 % (9389)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.21/0.61 % (9392)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 0.21/0.61 % (9402)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.21/0.61 % (9404)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.61 % (9401)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.21/0.61 % (9379)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.62 % (9384)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.62 % (9383)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.63 % (9375)First to succeed.
% 0.21/0.63 % (9380)Instruction limit reached!
% 0.21/0.63 % (9380)------------------------------
% 0.21/0.63 % (9380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.63 % (9380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.63 % (9380)Termination reason: Unknown
% 0.21/0.63 % (9380)Termination phase: Saturation
% 0.21/0.63
% 0.21/0.63 % (9380)Memory used [KB]: 5628
% 0.21/0.63 % (9380)Time elapsed: 0.208 s
% 0.21/0.63 % (9380)Instructions burned: 21 (million)
% 0.21/0.63 % (9380)------------------------------
% 0.21/0.63 % (9380)------------------------------
% 0.21/0.63 % (9396)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.21/0.63 % (9394)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.21/0.63 % (9403)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 0.21/0.63 % (9375)Refutation found. Thanks to Tanya!
% 0.21/0.63 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.63 % (9375)------------------------------
% 0.21/0.63 % (9375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.63 % (9375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.63 % (9375)Termination reason: Refutation
% 0.21/0.63
% 0.21/0.63 % (9375)Memory used [KB]: 6012
% 0.21/0.63 % (9375)Time elapsed: 0.136 s
% 0.21/0.63 % (9375)Instructions burned: 34 (million)
% 0.21/0.63 % (9375)------------------------------
% 0.21/0.63 % (9375)------------------------------
% 0.21/0.63 % (9374)Success in time 0.271 s
%------------------------------------------------------------------------------