TSTP Solution File: CAT011-4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : CAT011-4 : 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 : n022.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 15:51:17 EDT 2022
% Result : Unsatisfiable 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 17 unt; 0 def)
% Number of atoms : 27 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 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 : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f100,plain,
$false,
inference(subsumption_resolution,[],[f99,f17]) ).
fof(f17,plain,
sF1 != sF0,
inference(definition_folding,[],[f13,f16,f15,f15]) ).
fof(f15,plain,
domain(a) = sF0,
introduced(function_definition,[]) ).
fof(f16,plain,
sF1 = domain(sF0),
introduced(function_definition,[]) ).
fof(f13,axiom,
domain(a) != domain(domain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_is_idempotent) ).
fof(f99,plain,
sF1 = sF0,
inference(backward_demodulation,[],[f16,f98]) ).
fof(f98,plain,
sF0 = domain(sF0),
inference(forward_demodulation,[],[f97,f39]) ).
fof(f39,plain,
sF0 = codomain(sF0),
inference(forward_demodulation,[],[f38,f15]) ).
fof(f38,plain,
domain(a) = codomain(sF0),
inference(subsumption_resolution,[],[f36,f21]) ).
fof(f21,plain,
there_exists(a),
inference(subsumption_resolution,[],[f19,f18]) ).
fof(f18,plain,
there_exists(sF0),
inference(forward_demodulation,[],[f12,f15]) ).
fof(f12,axiom,
there_exists(domain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_domain_exists) ).
fof(f19,plain,
( ~ there_exists(sF0)
| there_exists(a) ),
inference(superposition,[],[f4,f15]) ).
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_has_elements) ).
fof(f36,plain,
( ~ there_exists(a)
| domain(a) = codomain(sF0) ),
inference(superposition,[],[f7,f24]) ).
fof(f24,plain,
a = compose(a,sF0),
inference(superposition,[],[f10,f15]) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_domain) ).
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(f97,plain,
domain(sF0) = codomain(sF0),
inference(subsumption_resolution,[],[f95,f18]) ).
fof(f95,plain,
( domain(sF0) = codomain(sF0)
| ~ there_exists(sF0) ),
inference(superposition,[],[f7,f42]) ).
fof(f42,plain,
sF0 = compose(sF0,sF0),
inference(superposition,[],[f11,f39]) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_codomain) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : CAT011-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 16:19:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (16942)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)
% 0.18/0.48 % (16936)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)
% 0.18/0.48 % (16938)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)
% 0.18/0.48 % (16929)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)
% 0.18/0.48 % (16942)First to succeed.
% 0.18/0.49 % (16946)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)
% 0.18/0.49 % (16950)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)
% 0.18/0.49 % (16939)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.49 % (16930)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)
% 0.18/0.49 % (16942)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (16942)------------------------------
% 0.18/0.49 % (16942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (16942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (16942)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (16942)Memory used [KB]: 1023
% 0.18/0.49 % (16942)Time elapsed: 0.098 s
% 0.18/0.49 % (16942)Instructions burned: 4 (million)
% 0.18/0.49 % (16942)------------------------------
% 0.18/0.49 % (16942)------------------------------
% 0.18/0.49 % (16926)Success in time 0.159 s
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