TSTP Solution File: COL002-10 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n004.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 2.09s 0.66s
% Output : Refutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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(f408,plain,
$false,
inference(trivial_inequality_removal,[],[f407]) ).
fof(f407,plain,
true != true,
inference(superposition,[],[f13,f404]) ).
fof(f404,plain,
true = sF4(fixed_pt),
inference(superposition,[],[f1,f384]) ).
fof(f384,plain,
true = ifeq(sF3(fixed_pt),sF3(fixed_pt),sF4(fixed_pt),true),
inference(forward_demodulation,[],[f372,f12]) ).
fof(f12,plain,
! [X3] : sF4(X3) = fixed_point(sF3(X3)),
introduced(function_definition,[]) ).
fof(f372,plain,
true = ifeq(sF3(fixed_pt),sF3(fixed_pt),fixed_point(sF3(fixed_pt)),true),
inference(superposition,[],[f6,f340]) ).
fof(f340,plain,
! [X0] : sF3(X0) = apply(X0,sF3(X0)),
inference(superposition,[],[f11,f138]) ).
fof(f138,plain,
! [X24,X23] : apply(sF2(X24),sF2(X23)) = apply(X24,sF3(X23)),
inference(superposition,[],[f127,f11]) ).
fof(f127,plain,
! [X4,X5] : apply(X4,apply(X5,X5)) = apply(sF2(X4),X5),
inference(forward_demodulation,[],[f126,f10]) ).
fof(f10,plain,
! [X3] : apply(sF1(X3),i) = sF2(X3),
introduced(function_definition,[]) ).
fof(f126,plain,
! [X4,X5] : apply(apply(sF1(X4),i),X5) = apply(X4,apply(X5,X5)),
inference(forward_demodulation,[],[f108,f9]) ).
fof(f9,plain,
! [X3] : sF1(X3) = apply(s,sF0(X3)),
introduced(function_definition,[]) ).
fof(f108,plain,
! [X4,X5] : apply(apply(apply(s,sF0(X4)),i),X5) = apply(X4,apply(X5,X5)),
inference(superposition,[],[f26,f14]) ).
fof(f14,plain,
! [X3,X4,X5] : apply(X3,apply(X4,X5)) = apply(apply(sF0(X3),X4),X5),
inference(forward_demodulation,[],[f3,f8]) ).
fof(f8,plain,
! [X3] : apply(b,X3) = sF0(X3),
introduced(function_definition,[]) ).
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(apply(s,X1),i),X0) = apply(apply(X1,X0),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(f11,plain,
! [X3] : sF3(X3) = apply(sF2(X3),sF2(X3)),
introduced(function_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) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f13,plain,
! [X3] : true != sF4(X3),
inference(definition_folding,[],[f7,f12,f11,f10,f9,f8,f10,f9,f8]) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COL002-10 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 16:29:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (32341)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)
% 0.20/0.57 % (32349)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)
% 0.20/0.57 % (32356)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.57 TRYING [1]
% 0.20/0.57 TRYING [2]
% 0.20/0.57 TRYING [3]
% 0.20/0.58 % (32357)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)
% 0.20/0.58 % (32364)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)
% 0.20/0.60 % (32345)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.60 % (32338)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)
% 0.20/0.60 % (32346)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)
% 0.20/0.60 % (32343)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.60 % (32343)Instruction limit reached!
% 0.20/0.60 % (32343)------------------------------
% 0.20/0.60 % (32343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (32343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (32343)Termination reason: Unknown
% 0.20/0.60 % (32343)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (32343)Memory used [KB]: 5373
% 0.20/0.60 % (32343)Time elapsed: 0.175 s
% 0.20/0.60 % (32343)Instructions burned: 2 (million)
% 0.20/0.60 % (32343)------------------------------
% 0.20/0.60 % (32343)------------------------------
% 0.20/0.60 % (32340)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)
% 0.20/0.61 TRYING [4]
% 0.20/0.61 % (32344)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)
% 0.20/0.61 % (32339)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.61 % (32358)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)
% 0.20/0.62 % (32350)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)
% 0.20/0.62 % (32337)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)
% 0.20/0.62 % (32363)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.63 % (32355)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)
% 0.20/0.63 % (32354)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)
% 0.20/0.63 % (32341)Instruction limit reached!
% 0.20/0.63 % (32341)------------------------------
% 0.20/0.63 % (32341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63 % (32335)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)
% 0.20/0.63 % (32341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63 % (32341)Termination reason: Unknown
% 0.20/0.63 % (32341)Termination phase: Finite model building constraint generation
% 0.20/0.63
% 0.20/0.63 % (32341)Memory used [KB]: 7547
% 0.20/0.63 % (32341)Time elapsed: 0.192 s
% 0.20/0.63 % (32341)Instructions burned: 51 (million)
% 0.20/0.63 % (32341)------------------------------
% 0.20/0.63 % (32341)------------------------------
% 0.20/0.63 % (32361)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)
% 0.20/0.64 % (32342)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.64 % (32351)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)
% 0.20/0.64 % (32359)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.09/0.64 % (32342)Instruction limit reached!
% 2.09/0.64 % (32342)------------------------------
% 2.09/0.64 % (32342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64 % (32342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64 % (32342)Termination reason: Unknown
% 2.09/0.64 % (32342)Termination phase: Saturation
% 2.09/0.64
% 2.09/0.64 % (32342)Memory used [KB]: 5500
% 2.09/0.64 % (32342)Time elapsed: 0.151 s
% 2.09/0.64 % (32342)Instructions burned: 8 (million)
% 2.09/0.64 % (32342)------------------------------
% 2.09/0.64 % (32342)------------------------------
% 2.09/0.64 % (32348)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.09/0.64 % (32336)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)
% 2.09/0.65 TRYING [1]
% 2.09/0.65 TRYING [2]
% 2.09/0.65 % (32362)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)
% 2.09/0.65 TRYING [3]
% 2.09/0.66 % (32346)First to succeed.
% 2.09/0.66 % (32346)Refutation found. Thanks to Tanya!
% 2.09/0.66 % SZS status Unsatisfiable for theBenchmark
% 2.09/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.09/0.66 % (32346)------------------------------
% 2.09/0.66 % (32346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66 % (32346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66 % (32346)Termination reason: Refutation
% 2.09/0.66
% 2.09/0.66 % (32346)Memory used [KB]: 6140
% 2.09/0.66 % (32346)Time elapsed: 0.228 s
% 2.09/0.66 % (32346)Instructions burned: 32 (million)
% 2.09/0.66 % (32346)------------------------------
% 2.09/0.66 % (32346)------------------------------
% 2.09/0.66 % (32334)Success in time 0.298 s
%------------------------------------------------------------------------------