TSTP Solution File: COL002-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COL002-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : n021.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 15:52:19 EDT 2022
% Result : Unsatisfiable 1.87s 0.58s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 21 unt; 0 def)
% Number of atoms : 25 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f419,plain,
$false,
inference(resolution,[],[f416,f11]) ).
fof(f11,plain,
! [X0] : ~ fixed_point(sF3(X0)),
inference(definition_folding,[],[f6,f10,f9,f8,f7,f9,f8,f7]) ).
fof(f7,plain,
! [X0] : apply(b,X0) = sF0(X0),
introduced(function_definition,[]) ).
fof(f8,plain,
! [X0] : apply(s,sF0(X0)) = sF1(X0),
introduced(function_definition,[]) ).
fof(f9,plain,
! [X0] : sF2(X0) = apply(sF1(X0),i),
introduced(function_definition,[]) ).
fof(f10,plain,
! [X0] : apply(sF2(X0),sF2(X0)) = sF3(X0),
introduced(function_definition,[]) ).
fof(f6,axiom,
! [X0] : ~ fixed_point(apply(apply(apply(s,apply(b,X0)),i),apply(apply(s,apply(b,X0)),i))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_weak_fixed_point) ).
fof(f416,plain,
fixed_point(sF3(fixed_pt)),
inference(trivial_inequality_removal,[],[f405]) ).
fof(f405,plain,
( sF3(fixed_pt) != sF3(fixed_pt)
| fixed_point(sF3(fixed_pt)) ),
inference(superposition,[],[f5,f387]) ).
fof(f387,plain,
! [X7] : sF3(X7) = apply(X7,sF3(X7)),
inference(forward_demodulation,[],[f372,f229]) ).
fof(f229,plain,
! [X13] : apply(sF2(i),sF2(X13)) = sF3(X13),
inference(superposition,[],[f176,f10]) ).
fof(f176,plain,
! [X9] : apply(sF2(i),X9) = apply(X9,X9),
inference(superposition,[],[f156,f4]) ).
fof(f4,axiom,
! [X0] : apply(i,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_definition) ).
fof(f156,plain,
! [X14,X15] : apply(sF2(X14),X15) = apply(X14,apply(X15,X15)),
inference(forward_demodulation,[],[f155,f9]) ).
fof(f155,plain,
! [X14,X15] : apply(apply(sF1(X14),i),X15) = apply(X14,apply(X15,X15)),
inference(forward_demodulation,[],[f145,f8]) ).
fof(f145,plain,
! [X14,X15] : apply(apply(apply(s,sF0(X14)),i),X15) = apply(X14,apply(X15,X15)),
inference(superposition,[],[f12,f23]) ).
fof(f23,plain,
! [X0,X1] : apply(apply(X1,X0),X0) = apply(apply(apply(s,X1),i),X0),
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).
fof(f12,plain,
! [X2,X0,X1] : apply(X0,apply(X1,X2)) = apply(apply(sF0(X0),X1),X2),
inference(forward_demodulation,[],[f2,f7]) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
fof(f372,plain,
! [X7] : apply(sF2(i),sF2(X7)) = apply(X7,sF3(X7)),
inference(superposition,[],[f169,f176]) ).
fof(f169,plain,
! [X24,X25] : apply(X25,sF3(X24)) = apply(sF2(X25),sF2(X24)),
inference(superposition,[],[f156,f10]) ).
fof(f5,axiom,
! [X3] :
( apply(fixed_pt,X3) != X3
| fixed_point(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',weak_fixed_point) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : COL002-2 : TPTP v8.1.0. Released v1.0.0.
% 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
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 16:29:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (19711)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)
% 0.19/0.48 % (19709)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)
% 0.19/0.49 % (19717)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 % (19738)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)
% 0.19/0.50 % (19716)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 % (19708)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)
% 0.19/0.50 % (19716)Instruction limit reached!
% 0.19/0.50 % (19716)------------------------------
% 0.19/0.50 % (19716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (19716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (19716)Termination reason: Unknown
% 0.19/0.50 % (19716)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (19716)Memory used [KB]: 5373
% 0.19/0.50 % (19716)Time elapsed: 0.004 s
% 0.19/0.50 % (19716)Instructions burned: 2 (million)
% 0.19/0.50 % (19716)------------------------------
% 0.19/0.50 % (19716)------------------------------
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 % (19724)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)
% 0.19/0.50 TRYING [3]
% 0.19/0.51 % (19732)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 % (19736)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)
% 0.19/0.51 % (19731)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)
% 0.19/0.52 % (19713)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)
% 0.19/0.52 % (19712)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 % (19737)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 % (19710)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 % (19735)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)
% 0.19/0.52 % (19714)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)
% 0.19/0.52 % (19723)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 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (19720)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 TRYING [3]
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (19728)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 % (19727)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (19718)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (19719)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)
% 0.19/0.53 % (19729)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 % (19721)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (19725)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (19730)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 [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 TRYING [3]
% 0.19/0.54 % (19722)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 % (19734)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 % (19733)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 % (19715)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 TRYING [4]
% 0.19/0.55 % (19715)Instruction limit reached!
% 0.19/0.55 % (19715)------------------------------
% 0.19/0.55 % (19715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (19715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (19715)Termination reason: Unknown
% 0.19/0.55 % (19715)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (19715)Memory used [KB]: 5500
% 0.19/0.55 % (19715)Time elapsed: 0.127 s
% 0.19/0.55 % (19715)Instructions burned: 8 (million)
% 0.19/0.55 % (19715)------------------------------
% 0.19/0.55 % (19715)------------------------------
% 0.19/0.55 % (19717)Instruction limit reached!
% 0.19/0.55 % (19717)------------------------------
% 0.19/0.55 % (19717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (19709)Instruction limit reached!
% 0.19/0.56 % (19709)------------------------------
% 0.19/0.56 % (19709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (19717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (19717)Termination reason: Unknown
% 0.19/0.56 % (19717)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (19717)Memory used [KB]: 1918
% 0.19/0.56 % (19717)Time elapsed: 0.161 s
% 0.19/0.56 % (19717)Instructions burned: 53 (million)
% 0.19/0.56 % (19717)------------------------------
% 0.19/0.56 % (19717)------------------------------
% 0.19/0.56 % (19709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (19709)Termination reason: Unknown
% 0.19/0.56 % (19709)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (19709)Memory used [KB]: 6268
% 0.19/0.56 % (19709)Time elapsed: 0.137 s
% 0.19/0.56 % (19709)Instructions burned: 50 (million)
% 0.19/0.56 % (19709)------------------------------
% 0.19/0.56 % (19709)------------------------------
% 0.19/0.56 TRYING [4]
% 1.87/0.58 % (19714)Instruction limit reached!
% 1.87/0.58 % (19714)------------------------------
% 1.87/0.58 % (19714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.58 % (19714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.58 % (19714)Termination reason: Unknown
% 1.87/0.58 % (19714)Termination phase: Finite model building SAT solving
% 1.87/0.58
% 1.87/0.58 % (19714)Memory used [KB]: 7931
% 1.87/0.58 % (19714)Time elapsed: 0.145 s
% 1.87/0.58 % (19714)Instructions burned: 54 (million)
% 1.87/0.58 % (19714)------------------------------
% 1.87/0.58 % (19714)------------------------------
% 1.87/0.58 % (19711)First to succeed.
% 1.87/0.58 % (19711)Refutation found. Thanks to Tanya!
% 1.87/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.87/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.87/0.58 % (19711)------------------------------
% 1.87/0.58 % (19711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.58 % (19711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.58 % (19711)Termination reason: Refutation
% 1.87/0.58
% 1.87/0.58 % (19711)Memory used [KB]: 6140
% 1.87/0.58 % (19711)Time elapsed: 0.185 s
% 1.87/0.58 % (19711)Instructions burned: 34 (million)
% 1.87/0.58 % (19711)------------------------------
% 1.87/0.58 % (19711)------------------------------
% 1.87/0.58 % (19706)Success in time 0.24 s
%------------------------------------------------------------------------------