TSTP Solution File: CAT018-4 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CAT018-4 : 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_uns --cores 0 -t %d %s
% Computer : n020.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 15:50:45 EDT 2022
% Result : Unsatisfiable 1.72s 0.59s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 17 unt; 0 def)
% Number of atoms : 32 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f175,plain,
$false,
inference(subsumption_resolution,[],[f174,f17]) ).
fof(f17,plain,
codomain(b) = domain(a),
inference(resolution,[],[f12,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition1) ).
fof(f12,axiom,
there_exists(compose(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_ab_exists) ).
fof(f174,plain,
codomain(b) != domain(a),
inference(superposition,[],[f164,f49]) ).
fof(f49,plain,
codomain(b) = domain(domain(a)),
inference(subsumption_resolution,[],[f48,f26]) ).
fof(f26,plain,
there_exists(b),
inference(resolution,[],[f19,f4]) ).
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_has_elements) ).
fof(f19,plain,
there_exists(domain(b)),
inference(resolution,[],[f13,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_implies_domain) ).
fof(f13,axiom,
there_exists(compose(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_bc_exists) ).
fof(f48,plain,
( codomain(b) = domain(domain(a))
| ~ there_exists(b) ),
inference(superposition,[],[f7,f28]) ).
fof(f28,plain,
b = compose(domain(a),b),
inference(superposition,[],[f11,f17]) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_codomain) ).
fof(f164,plain,
domain(a) != domain(domain(a)),
inference(superposition,[],[f42,f118]) ).
fof(f118,plain,
domain(domain(a)) = codomain(compose(b,c)),
inference(resolution,[],[f81,f13]) ).
fof(f81,plain,
! [X4] :
( ~ there_exists(compose(b,X4))
| domain(domain(a)) = codomain(compose(b,X4)) ),
inference(superposition,[],[f7,f45]) ).
fof(f45,plain,
! [X0] : compose(domain(a),compose(b,X0)) = compose(b,X0),
inference(superposition,[],[f9,f28]) ).
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_compose) ).
fof(f42,plain,
domain(a) != codomain(compose(b,c)),
inference(subsumption_resolution,[],[f22,f16]) ).
fof(f16,plain,
there_exists(domain(a)),
inference(resolution,[],[f12,f6]) ).
fof(f22,plain,
( ~ there_exists(domain(a))
| domain(a) != codomain(compose(b,c)) ),
inference(resolution,[],[f14,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( there_exists(compose(X0,X1))
| ~ there_exists(domain(X0))
| domain(X0) != codomain(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition2) ).
fof(f14,axiom,
~ there_exists(compose(a,compose(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_bc_exists) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CAT018-4 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14 % 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 : n020.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 16:22:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.54 % (28846)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55 % (28846)Instruction limit reached!
% 0.20/0.55 % (28846)------------------------------
% 0.20/0.55 % (28846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (28846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (28846)Termination reason: Unknown
% 0.20/0.55 % (28846)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (28846)Memory used [KB]: 5884
% 0.20/0.55 % (28846)Time elapsed: 0.132 s
% 0.20/0.55 % (28846)Instructions burned: 3 (million)
% 0.20/0.55 % (28846)------------------------------
% 0.20/0.55 % (28846)------------------------------
% 0.20/0.55 % (28838)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.56 % (28855)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.57 % (28834)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.58 % (28833)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.72/0.58 % (28842)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.72/0.58 % (28835)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.72/0.59 % (28834)First to succeed.
% 1.72/0.59 % (28856)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.72/0.59 % (28835)Instruction limit reached!
% 1.72/0.59 % (28835)------------------------------
% 1.72/0.59 % (28835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.59 % (28835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.59 % (28835)Termination reason: Unknown
% 1.72/0.59 % (28835)Termination phase: Saturation
% 1.72/0.59
% 1.72/0.59 % (28835)Memory used [KB]: 5884
% 1.72/0.59 % (28835)Time elapsed: 0.175 s
% 1.72/0.59 % (28835)Instructions burned: 5 (million)
% 1.72/0.59 % (28835)------------------------------
% 1.72/0.59 % (28835)------------------------------
% 1.72/0.59 % (28834)Refutation found. Thanks to Tanya!
% 1.72/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.72/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.59 % (28834)------------------------------
% 1.72/0.59 % (28834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.59 % (28834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.59 % (28834)Termination reason: Refutation
% 1.72/0.59
% 1.72/0.59 % (28834)Memory used [KB]: 1407
% 1.72/0.59 % (28834)Time elapsed: 0.158 s
% 1.72/0.59 % (28834)Instructions burned: 8 (million)
% 1.72/0.59 % (28834)------------------------------
% 1.72/0.59 % (28834)------------------------------
% 1.72/0.59 % (28832)Success in time 0.231 s
%------------------------------------------------------------------------------