TSTP Solution File: CAT003-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : CAT003-2 : 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 : n006.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 15:51:13 EDT 2022
% Result : Unsatisfiable 2.45s 0.72s
% Output : Refutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 65 ( 33 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f794,plain,
$false,
inference(subsumption_resolution,[],[f793,f13]) ).
fof(f13,axiom,
h != g,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_g_equals_h) ).
fof(f793,plain,
h = g,
inference(trivial_inequality_removal,[],[f790]) ).
fof(f790,plain,
( compose(a,compose(b,h)) != compose(a,compose(b,h))
| h = g
| domain(h) != domain(h) ),
inference(superposition,[],[f777,f774]) ).
fof(f774,plain,
compose(compose(a,b),h) = compose(a,compose(b,h)),
inference(equality_resolution,[],[f348]) ).
fof(f348,plain,
! [X7] :
( domain(h) != domain(X7)
| compose(a,compose(b,X7)) = compose(compose(a,b),X7) ),
inference(trivial_inequality_removal,[],[f345]) ).
fof(f345,plain,
! [X7] :
( domain(b) != domain(b)
| compose(a,compose(b,X7)) = compose(compose(a,b),X7)
| domain(h) != domain(X7) ),
inference(superposition,[],[f45,f9]) ).
fof(f9,axiom,
codomain(a) = domain(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_of_a_equals_domain_of_b) ).
fof(f45,plain,
! [X2,X3] :
( domain(b) != codomain(X3)
| compose(compose(X3,b),X2) = compose(X3,compose(b,X2))
| domain(X2) != domain(h) ),
inference(superposition,[],[f7,f10]) ).
fof(f10,axiom,
codomain(b) = domain(h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_of_b_equals_domain_of_h) ).
fof(f7,axiom,
! [X2,X0,X1] :
( codomain(X1) != domain(X2)
| codomain(X0) != domain(X1)
| compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_property) ).
fof(f777,plain,
! [X6] :
( compose(a,compose(b,h)) != compose(compose(a,b),X6)
| domain(h) != domain(X6)
| g = X6 ),
inference(backward_demodulation,[],[f158,f776]) ).
fof(f776,plain,
compose(a,compose(b,h)) = compose(compose(a,b),g),
inference(forward_demodulation,[],[f775,f12]) ).
fof(f12,axiom,
compose(b,h) = compose(b,g),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bh_equals_bg) ).
fof(f775,plain,
compose(a,compose(b,g)) = compose(compose(a,b),g),
inference(trivial_inequality_removal,[],[f773]) ).
fof(f773,plain,
( compose(a,compose(b,g)) = compose(compose(a,b),g)
| domain(h) != domain(h) ),
inference(superposition,[],[f348,f15]) ).
fof(f15,plain,
domain(h) = domain(g),
inference(backward_demodulation,[],[f11,f10]) ).
fof(f11,axiom,
codomain(b) = domain(g),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_of_b_equals_domain_of_g) ).
fof(f158,plain,
! [X6] :
( compose(compose(a,b),g) != compose(compose(a,b),X6)
| g = X6
| domain(h) != domain(X6) ),
inference(trivial_inequality_removal,[],[f156]) ).
fof(f156,plain,
! [X6] :
( domain(h) != domain(h)
| g = X6
| domain(h) != domain(X6)
| compose(compose(a,b),g) != compose(compose(a,b),X6) ),
inference(superposition,[],[f127,f15]) ).
fof(f127,plain,
! [X2,X0] :
( domain(X2) != domain(h)
| domain(X0) != domain(h)
| compose(compose(a,b),X0) != compose(compose(a,b),X2)
| X0 = X2 ),
inference(forward_demodulation,[],[f122,f121]) ).
fof(f121,plain,
codomain(compose(a,b)) = domain(h),
inference(forward_demodulation,[],[f120,f10]) ).
fof(f120,plain,
codomain(compose(a,b)) = codomain(b),
inference(equality_resolution,[],[f31]) ).
fof(f31,plain,
! [X0] :
( domain(X0) != domain(b)
| codomain(X0) = codomain(compose(a,X0)) ),
inference(superposition,[],[f6,f9]) ).
fof(f6,axiom,
! [X0,X1] :
( codomain(X0) != domain(X1)
| codomain(compose(X0,X1)) = codomain(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_domain2) ).
fof(f122,plain,
! [X2,X0] :
( domain(X0) != domain(h)
| compose(compose(a,b),X0) != compose(compose(a,b),X2)
| domain(X2) != codomain(compose(a,b))
| X0 = X2 ),
inference(backward_demodulation,[],[f14,f121]) ).
fof(f14,plain,
! [X2,X0] :
( domain(X2) != codomain(compose(a,b))
| compose(compose(a,b),X0) != compose(compose(a,b),X2)
| X0 = X2
| domain(X0) != codomain(compose(a,b)) ),
inference(equality_resolution,[],[f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( compose(compose(a,b),X2) != X1
| X0 = X2
| domain(X2) != codomain(compose(a,b))
| domain(X0) != codomain(compose(a,b))
| compose(compose(a,b),X0) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',endomorphism) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CAT003-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 16:14:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.54 % (10492)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)
% 0.20/0.54 % (10493)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (10493)Instruction limit reached!
% 0.20/0.54 % (10493)------------------------------
% 0.20/0.54 % (10493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (10502)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)
% 0.20/0.55 % (10510)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)
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (10501)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)
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (10509)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)
% 0.20/0.56 % (10493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (10493)Termination reason: Unknown
% 0.20/0.56 % (10493)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (10493)Memory used [KB]: 5500
% 0.20/0.56 % (10493)Time elapsed: 0.123 s
% 0.20/0.56 % (10493)Instructions burned: 7 (million)
% 0.20/0.56 % (10493)------------------------------
% 0.20/0.56 % (10493)------------------------------
% 0.20/0.57 TRYING [4]
% 0.20/0.58 % (10486)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)
% 0.20/0.59 % (10513)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)
% 0.20/0.59 % (10516)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 % (10491)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)
% 0.20/0.60 % (10490)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60 % (10497)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 % (10503)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)
% 0.20/0.60 % (10488)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)
% 0.20/0.60 % (10489)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)
% 0.20/0.61 % (10494)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.61 % (10500)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.61 TRYING [1]
% 0.20/0.61 % (10505)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.61 TRYING [2]
% 0.20/0.61 % (10508)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.61 TRYING [3]
% 0.20/0.61 % (10506)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)
% 0.20/0.61 % (10507)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)
% 0.20/0.61 % (10492)Instruction limit reached!
% 0.20/0.61 % (10492)------------------------------
% 0.20/0.61 % (10492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (10511)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.61 % (10492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (10492)Termination reason: Unknown
% 0.20/0.61 % (10492)Termination phase: Finite model building SAT solving
% 0.20/0.61
% 0.20/0.61 % (10492)Memory used [KB]: 6652
% 0.20/0.61 % (10492)Time elapsed: 0.154 s
% 0.20/0.61 % (10492)Instructions burned: 51 (million)
% 0.20/0.61 % (10492)------------------------------
% 0.20/0.61 % (10492)------------------------------
% 1.93/0.61 % (10515)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.93/0.61 % (10514)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)
% 1.93/0.62 % (10512)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.93/0.62 % (10498)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)
% 1.93/0.62 % (10494)Instruction limit reached!
% 1.93/0.62 % (10494)------------------------------
% 1.93/0.62 % (10494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.62 % (10494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62 % (10494)Termination reason: Unknown
% 1.93/0.62 % (10494)Termination phase: Saturation
% 1.93/0.62
% 1.93/0.62 % (10494)Memory used [KB]: 5373
% 1.93/0.62 % (10494)Time elapsed: 0.191 s
% 1.93/0.62 % (10494)Instructions burned: 2 (million)
% 1.93/0.62 % (10494)------------------------------
% 1.93/0.62 % (10494)------------------------------
% 1.93/0.63 % (10487)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)
% 1.93/0.63 % (10499)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.22/0.63 % (10504)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.22/0.63 TRYING [1]
% 2.22/0.64 TRYING [2]
% 2.22/0.64 TRYING [3]
% 2.22/0.64 % (10495)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)
% 2.22/0.64 TRYING [4]
% 2.45/0.66 TRYING [4]
% 2.45/0.67 % (10501)Instruction limit reached!
% 2.45/0.67 % (10501)------------------------------
% 2.45/0.67 % (10501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.67 % (10501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.67 % (10501)Termination reason: Unknown
% 2.45/0.67 % (10501)Termination phase: Saturation
% 2.45/0.67
% 2.45/0.67 % (10501)Memory used [KB]: 6396
% 2.45/0.67 % (10501)Time elapsed: 0.091 s
% 2.45/0.67 % (10501)Instructions burned: 68 (million)
% 2.45/0.67 % (10501)------------------------------
% 2.45/0.67 % (10501)------------------------------
% 2.45/0.69 % (10488)Instruction limit reached!
% 2.45/0.69 % (10488)------------------------------
% 2.45/0.69 % (10488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.69 % (10488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.69 % (10488)Termination reason: Unknown
% 2.45/0.69 % (10488)Termination phase: Saturation
% 2.45/0.69
% 2.45/0.69 % (10488)Memory used [KB]: 1279
% 2.45/0.69 % (10488)Time elapsed: 0.273 s
% 2.45/0.69 % (10488)Instructions burned: 37 (million)
% 2.45/0.69 % (10488)------------------------------
% 2.45/0.69 % (10488)------------------------------
% 2.45/0.71 % (10491)Instruction limit reached!
% 2.45/0.71 % (10491)------------------------------
% 2.45/0.71 % (10491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.71 % (10491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.71 % (10491)Termination reason: Unknown
% 2.45/0.71 % (10491)Termination phase: Saturation
% 2.45/0.71
% 2.45/0.71 % (10491)Memory used [KB]: 6012
% 2.45/0.71 % (10491)Time elapsed: 0.292 s
% 2.45/0.71 % (10491)Instructions burned: 48 (million)
% 2.45/0.71 % (10491)------------------------------
% 2.45/0.71 % (10491)------------------------------
% 2.45/0.72 % (10508)First to succeed.
% 2.45/0.72 % (10508)Refutation found. Thanks to Tanya!
% 2.45/0.72 % SZS status Unsatisfiable for theBenchmark
% 2.45/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.92/0.73 % (10508)------------------------------
% 2.92/0.73 % (10508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.92/0.73 % (10508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.92/0.73 % (10508)Termination reason: Refutation
% 2.92/0.73
% 2.92/0.73 % (10508)Memory used [KB]: 6012
% 2.92/0.73 % (10508)Time elapsed: 0.300 s
% 2.92/0.73 % (10508)Instructions burned: 41 (million)
% 2.92/0.73 % (10508)------------------------------
% 2.92/0.73 % (10508)------------------------------
% 2.92/0.73 % (10485)Success in time 0.371 s
%------------------------------------------------------------------------------