TSTP Solution File: CAT018-4 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --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 15:51:20 EDT 2022
% Result : Unsatisfiable 1.58s 0.57s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 16 unt; 0 def)
% Number of atoms : 33 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 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 : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f158,plain,
$false,
inference(subsumption_resolution,[],[f153,f111]) ).
fof(f111,plain,
domain(a) = codomain(compose(b,c)),
inference(resolution,[],[f102,f13]) ).
fof(f13,axiom,
there_exists(compose(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_bc_exists) ).
fof(f102,plain,
! [X2] :
( ~ there_exists(compose(b,X2))
| codomain(compose(b,X2)) = domain(a) ),
inference(forward_demodulation,[],[f99,f55]) ).
fof(f55,plain,
domain(domain(a)) = domain(a),
inference(forward_demodulation,[],[f54,f40]) ).
fof(f40,plain,
codomain(b) = domain(a),
inference(resolution,[],[f7,f12]) ).
fof(f12,axiom,
there_exists(compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_ab_exists) ).
fof(f7,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_codomain_composition1) ).
fof(f54,plain,
domain(domain(a)) = codomain(b),
inference(subsumption_resolution,[],[f52,f28]) ).
fof(f28,plain,
there_exists(b),
inference(resolution,[],[f23,f4]) ).
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_has_elements) ).
fof(f23,plain,
there_exists(domain(b)),
inference(resolution,[],[f6,f13]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_implies_domain) ).
fof(f52,plain,
( domain(domain(a)) = codomain(b)
| ~ there_exists(b) ),
inference(superposition,[],[f7,f44]) ).
fof(f44,plain,
b = compose(domain(a),b),
inference(superposition,[],[f11,f40]) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_codomain) ).
fof(f99,plain,
! [X2] :
( ~ there_exists(compose(b,X2))
| domain(domain(a)) = codomain(compose(b,X2)) ),
inference(superposition,[],[f7,f85]) ).
fof(f85,plain,
! [X2] : compose(b,X2) = compose(domain(a),compose(b,X2)),
inference(superposition,[],[f9,f44]) ).
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_compose) ).
fof(f153,plain,
domain(a) != codomain(compose(b,c)),
inference(resolution,[],[f146,f14]) ).
fof(f14,axiom,
~ there_exists(compose(a,compose(b,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_bc_exists) ).
fof(f146,plain,
! [X0] :
( there_exists(compose(a,X0))
| codomain(X0) != domain(a) ),
inference(resolution,[],[f8,f22]) ).
fof(f22,plain,
there_exists(domain(a)),
inference(resolution,[],[f6,f12]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ there_exists(domain(X0))
| domain(X0) != codomain(X1)
| there_exists(compose(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_codomain_composition2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT018-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.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 16:22:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.53 % (27664)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.53 % (27654)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)
% 0.21/0.54 % (27656)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)
% 0.21/0.54 % (27648)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 % (27646)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)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 % (27648)Instruction limit reached!
% 0.21/0.54 % (27648)------------------------------
% 0.21/0.54 % (27648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (27648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (27648)Termination reason: Unknown
% 0.21/0.54 % (27648)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (27648)Memory used [KB]: 5373
% 0.21/0.54 % (27648)Time elapsed: 0.114 s
% 0.21/0.54 % (27648)Instructions burned: 2 (million)
% 0.21/0.54 % (27648)------------------------------
% 0.21/0.54 % (27648)------------------------------
% 0.21/0.54 TRYING [2]
% 0.21/0.54 TRYING [3]
% 0.21/0.54 % (27662)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)
% 0.21/0.54 TRYING [4]
% 0.21/0.54 % (27655)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)
% 1.49/0.55 % (27647)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.49/0.55 % (27665)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.49/0.55 % (27647)Instruction limit reached!
% 1.49/0.55 % (27647)------------------------------
% 1.49/0.55 % (27647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55 % (27647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55 % (27647)Termination reason: Unknown
% 1.49/0.55 % (27647)Termination phase: Saturation
% 1.49/0.55
% 1.49/0.55 % (27647)Memory used [KB]: 5500
% 1.49/0.55 % (27647)Time elapsed: 0.126 s
% 1.49/0.55 % (27647)Instructions burned: 8 (million)
% 1.49/0.55 % (27647)------------------------------
% 1.49/0.55 % (27647)------------------------------
% 1.49/0.55 % (27663)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)
% 1.49/0.56 % (27644)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.56 % (27657)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.49/0.56 TRYING [1]
% 1.49/0.56 % (27659)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)
% 1.49/0.56 % (27642)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)
% 1.49/0.56 % (27649)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)
% 1.49/0.56 % (27643)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)
% 1.49/0.56 % (27663)First to succeed.
% 1.49/0.56 % (27640)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)
% 1.58/0.56 TRYING [1]
% 1.58/0.56 TRYING [2]
% 1.58/0.56 TRYING [3]
% 1.58/0.57 % (27658)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.58/0.57 % (27663)Refutation found. Thanks to Tanya!
% 1.58/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.58/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.57 % (27663)------------------------------
% 1.58/0.57 % (27663)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.57 % (27663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57 % (27663)Termination reason: Refutation
% 1.58/0.57
% 1.58/0.57 % (27663)Memory used [KB]: 5500
% 1.58/0.57 % (27663)Time elapsed: 0.144 s
% 1.58/0.57 % (27663)Instructions burned: 7 (million)
% 1.58/0.57 % (27663)------------------------------
% 1.58/0.57 % (27663)------------------------------
% 1.58/0.57 % (27639)Success in time 0.208 s
%------------------------------------------------------------------------------