TSTP Solution File: COL043-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COL043-2 : TPTP v8.1.0. Bugfixed v2.3.0.
% 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 : n003.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 15:52:33 EDT 2022
% Result : Unsatisfiable 1.45s 0.61s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 15 unt; 0 def)
% Number of atoms : 19 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 10 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f413,plain,
$false,
inference(subsumption_resolution,[],[f412,f81]) ).
fof(f81,plain,
! [X2,X0,X1] : apply(X0,apply(apply(X1,X2),X1)) = apply(apply(apply(h,apply(b,apply(b,X0))),X1),X2),
inference(superposition,[],[f10,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
fof(f10,plain,
! [X2,X0,X1] : apply(apply(X0,apply(X1,X2)),X1) = apply(apply(apply(h,apply(b,X0)),X1),X2),
inference(superposition,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(h,X0),X1),X2) = apply(apply(apply(X0,X1),X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_definition) ).
fof(f412,plain,
apply(fixed_pt,apply(apply(apply(h,apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),apply(h,apply(b,apply(b,fixed_pt))))) != apply(apply(apply(h,apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),apply(h,apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[],[f411,f358]) ).
fof(f358,plain,
! [X10,X8,X9] : apply(apply(apply(h,apply(apply(b,b),X8)),X9),X10) = apply(apply(X8,X9),apply(X10,X9)),
inference(superposition,[],[f7,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : apply(apply(apply(X0,apply(X1,X2)),X3),X2) = apply(apply(apply(h,apply(apply(b,X0),X1)),X2),X3),
inference(superposition,[],[f2,f1]) ).
fof(f411,plain,
apply(fixed_pt,apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt))))) != apply(apply(apply(apply(h,apply(apply(b,b),h)),apply(b,apply(b,fixed_pt))),h),apply(h,apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[],[f409,f7]) ).
fof(f409,plain,
apply(fixed_pt,apply(apply(apply(apply(h,apply(apply(b,h),apply(b,b))),h),apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt))))) != apply(apply(apply(apply(h,apply(apply(b,h),apply(b,b))),h),apply(b,apply(b,fixed_pt))),apply(h,apply(b,apply(b,fixed_pt)))),
inference(backward_demodulation,[],[f114,f358]) ).
fof(f114,plain,
apply(fixed_pt,apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,fixed_pt))),h)) != apply(apply(apply(h,apply(apply(b,b),apply(apply(h,apply(apply(b,h),apply(b,b))),h))),apply(b,apply(b,fixed_pt))),h),
inference(forward_demodulation,[],[f113,f1]) ).
fof(f113,plain,
apply(fixed_pt,apply(apply(apply(apply(apply(b,h),apply(b,b)),apply(apply(h,apply(apply(b,h),apply(b,b))),h)),apply(b,apply(b,fixed_pt))),h)) != apply(apply(apply(apply(apply(b,h),apply(b,b)),apply(apply(h,apply(apply(b,h),apply(b,b))),h)),apply(b,apply(b,fixed_pt))),h),
inference(forward_demodulation,[],[f112,f7]) ).
fof(f112,plain,
apply(fixed_pt,apply(apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h),apply(b,apply(b,fixed_pt)))) != apply(apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h),apply(b,apply(b,fixed_pt))),
inference(forward_demodulation,[],[f109,f1]) ).
fof(f109,plain,
apply(apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b),apply(b,fixed_pt)) != apply(fixed_pt,apply(apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b),apply(b,fixed_pt))),
inference(resolution,[],[f5,f4]) ).
fof(f4,axiom,
~ fixed_point(apply(apply(b,apply(apply(b,apply(apply(h,apply(apply(b,apply(apply(b,h),apply(b,b))),apply(h,apply(apply(b,h),apply(b,b))))),h)),b)),b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
fof(f5,plain,
! [X0,X1] :
( fixed_point(apply(apply(b,X0),X1))
| apply(X0,apply(X1,fixed_pt)) != apply(fixed_pt,apply(X0,apply(X1,fixed_pt))) ),
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X3] :
( apply(X3,fixed_pt) != apply(fixed_pt,apply(X3,fixed_pt))
| fixed_point(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',strong_fixed_point) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL043-2 : TPTP v8.1.0. Bugfixed v2.3.0.
% 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
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 16:41:22 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48 % (27713)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)
% 0.20/0.48 % (27716)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)
% 0.20/0.48 TRYING [1]
% 0.20/0.48 TRYING [2]
% 0.20/0.48 TRYING [3]
% 0.20/0.49 % (27725)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)
% 0.20/0.49 % (27730)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)
% 0.20/0.49 % (27715)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)
% 0.20/0.50 % (27741)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)
% 0.20/0.50 % (27722)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)
% 0.20/0.50 % (27732)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50 % (27712)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)
% 0.20/0.50 % (27724)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (27726)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)
% 0.20/0.51 TRYING [4]
% 1.31/0.52 % (27738)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)
% 1.31/0.52 % (27735)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)
% 1.31/0.52 % (27718)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.31/0.52 % (27718)Instruction limit reached!
% 1.31/0.52 % (27718)------------------------------
% 1.31/0.52 % (27718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52 % (27718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52 % (27718)Termination reason: Unknown
% 1.31/0.52 % (27718)Termination phase: Saturation
% 1.31/0.52
% 1.31/0.52 % (27718)Memory used [KB]: 5373
% 1.31/0.52 % (27718)Time elapsed: 0.127 s
% 1.31/0.52 % (27718)Instructions burned: 2 (million)
% 1.31/0.52 % (27718)------------------------------
% 1.31/0.52 % (27718)------------------------------
% 1.31/0.52 % (27733)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)
% 1.31/0.52 % (27719)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)
% 1.31/0.52 % (27710)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)
% 1.31/0.52 TRYING [1]
% 1.31/0.52 TRYING [2]
% 1.31/0.52 % (27717)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.31/0.53 % (27740)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.31/0.53 % (27714)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.53 TRYING [3]
% 1.45/0.53 % (27731)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)
% 1.45/0.53 % (27736)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.45/0.53 % (27711)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)
% 1.45/0.53 % (27739)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)
% 1.45/0.54 % (27737)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.45/0.54 % (27716)Instruction limit reached!
% 1.45/0.54 % (27716)------------------------------
% 1.45/0.54 % (27716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (27716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (27716)Termination reason: Unknown
% 1.45/0.54 % (27716)Termination phase: Finite model building SAT solving
% 1.45/0.54
% 1.45/0.54 % (27716)Memory used [KB]: 7164
% 1.45/0.54 % (27716)Time elapsed: 0.137 s
% 1.45/0.54 % (27716)Instructions burned: 51 (million)
% 1.45/0.54 % (27716)------------------------------
% 1.45/0.54 % (27716)------------------------------
% 1.45/0.54 % (27727)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)
% 1.45/0.54 % (27720)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.45/0.54 % (27713)Instruction limit reached!
% 1.45/0.54 % (27713)------------------------------
% 1.45/0.54 % (27713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (27723)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.45/0.54 % (27729)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.54 % (27717)Instruction limit reached!
% 1.45/0.54 % (27717)------------------------------
% 1.45/0.54 % (27717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (27715)Instruction limit reached!
% 1.45/0.55 % (27715)------------------------------
% 1.45/0.55 % (27715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (27717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (27717)Termination reason: Unknown
% 1.45/0.55 % (27717)Termination phase: Saturation
% 1.45/0.55
% 1.45/0.55 % (27717)Memory used [KB]: 5500
% 1.45/0.55 % (27717)Time elapsed: 0.106 s
% 1.45/0.55 % (27717)Instructions burned: 7 (million)
% 1.45/0.55 % (27717)------------------------------
% 1.45/0.55 % (27717)------------------------------
% 1.45/0.55 % (27715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (27715)Termination reason: Unknown
% 1.45/0.55 % (27715)Termination phase: Saturation
% 1.45/0.55
% 1.45/0.55 % (27715)Memory used [KB]: 6140
% 1.45/0.55 % (27715)Time elapsed: 0.139 s
% 1.45/0.55 % (27715)Instructions burned: 48 (million)
% 1.45/0.55 % (27715)------------------------------
% 1.45/0.55 % (27715)------------------------------
% 1.45/0.56 TRYING [4]
% 1.45/0.56 % (27713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (27713)Termination reason: Unknown
% 1.45/0.56 % (27713)Termination phase: Saturation
% 1.45/0.56
% 1.45/0.56 % (27713)Memory used [KB]: 6524
% 1.45/0.56 % (27713)Time elapsed: 0.133 s
% 1.45/0.56 % (27713)Instructions burned: 53 (million)
% 1.45/0.56 % (27713)------------------------------
% 1.45/0.56 % (27713)------------------------------
% 1.45/0.56 % (27728)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.45/0.56 TRYING [1]
% 1.45/0.56 TRYING [2]
% 1.45/0.58 % (27712)Instruction limit reached!
% 1.45/0.58 % (27712)------------------------------
% 1.45/0.58 % (27712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.58 % (27712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.58 % (27712)Termination reason: Unknown
% 1.45/0.58 % (27712)Termination phase: Saturation
% 1.45/0.58
% 1.45/0.58 % (27712)Memory used [KB]: 1663
% 1.45/0.58 % (27712)Time elapsed: 0.187 s
% 1.45/0.58 % (27712)Instructions burned: 37 (million)
% 1.45/0.58 % (27712)------------------------------
% 1.45/0.58 % (27712)------------------------------
% 1.45/0.58 % (27725)Instruction limit reached!
% 1.45/0.58 % (27725)------------------------------
% 1.45/0.58 % (27725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.58 % (27725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.58 % (27725)Termination reason: Unknown
% 1.45/0.58 % (27725)Termination phase: Saturation
% 1.45/0.58
% 1.45/0.58 % (27725)Memory used [KB]: 6780
% 1.45/0.58 % (27725)Time elapsed: 0.033 s
% 1.45/0.58 % (27725)Instructions burned: 68 (million)
% 1.45/0.58 % (27725)------------------------------
% 1.45/0.58 % (27725)------------------------------
% 1.45/0.58 TRYING [3]
% 1.45/0.59 TRYING [4]
% 1.45/0.60 % (27732)First to succeed.
% 1.45/0.61 % (27732)Refutation found. Thanks to Tanya!
% 1.45/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.45/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.61 % (27732)------------------------------
% 1.45/0.61 % (27732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.61 % (27732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.61 % (27732)Termination reason: Refutation
% 1.45/0.61
% 1.45/0.61 % (27732)Memory used [KB]: 6908
% 1.45/0.61 % (27732)Time elapsed: 0.199 s
% 1.45/0.61 % (27732)Instructions burned: 85 (million)
% 1.45/0.61 % (27732)------------------------------
% 1.45/0.61 % (27732)------------------------------
% 1.45/0.61 % (27706)Success in time 0.259 s
%------------------------------------------------------------------------------