TSTP Solution File: KLE129+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE129+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n014.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 17:29:12 EDT 2022
% Result : Theorem 1.46s 0.55s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 21 unt; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 7 |; 4 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 31 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f551,plain,
$false,
inference(subsumption_resolution,[],[f550,f90]) ).
fof(f90,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f550,plain,
sF1 != addition(sF1,sF1),
inference(forward_demodulation,[],[f549,f177]) ).
fof(f177,plain,
sF1 = antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sF1))))),
inference(superposition,[],[f103,f104]) ).
fof(f104,plain,
sF1 = divergence(sK0),
introduced(function_definition,[]) ).
fof(f103,plain,
! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))),
inference(definition_unfolding,[],[f89,f99]) ).
fof(f99,plain,
! [X0,X1] : antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))) = forward_diamond(X0,X1),
inference(definition_unfolding,[],[f68,f94,f94]) ).
fof(f94,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f68,plain,
! [X0,X1] : domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] : domain(multiplication(X0,domain(X1))) = forward_diamond(X0,X1),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0] : forward_diamond(X1,X0) = domain(multiplication(X1,domain(X0))),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X4,X3] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f89,plain,
! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X3] : divergence(X3) = forward_diamond(X3,divergence(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divergence1) ).
fof(f549,plain,
antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sF1))))) != addition(sF1,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sF1)))))),
inference(subsumption_resolution,[],[f527,f105]) ).
fof(f105,plain,
zero != sF1,
inference(definition_folding,[],[f71,f104]) ).
fof(f71,plain,
zero != divergence(sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( zero != divergence(sK0)
& ! [X1] :
( addition(domain(X1),forward_diamond(sK0,domain(X1))) != forward_diamond(sK0,domain(X1))
| zero = domain(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f53,f57]) ).
fof(f57,plain,
( ? [X0] :
( zero != divergence(X0)
& ! [X1] :
( addition(domain(X1),forward_diamond(X0,domain(X1))) != forward_diamond(X0,domain(X1))
| zero = domain(X1) ) )
=> ( zero != divergence(sK0)
& ! [X1] :
( addition(domain(X1),forward_diamond(sK0,domain(X1))) != forward_diamond(sK0,domain(X1))
| zero = domain(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0] :
( zero != divergence(X0)
& ! [X1] :
( addition(domain(X1),forward_diamond(X0,domain(X1))) != forward_diamond(X0,domain(X1))
| zero = domain(X1) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0] :
( ! [X1] :
( addition(domain(X1),forward_diamond(X0,domain(X1))) = forward_diamond(X0,domain(X1))
=> zero = domain(X1) )
=> zero = divergence(X0) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X3] :
( ! [X4] :
( forward_diamond(X3,domain(X4)) = addition(domain(X4),forward_diamond(X3,domain(X4)))
=> zero = domain(X4) )
=> zero = divergence(X3) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X3] :
( ! [X4] :
( forward_diamond(X3,domain(X4)) = addition(domain(X4),forward_diamond(X3,domain(X4)))
=> zero = domain(X4) )
=> zero = divergence(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f527,plain,
( antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sF1))))) != addition(sF1,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sF1))))))
| zero = sF1 ),
inference(superposition,[],[f101,f177]) ).
fof(f101,plain,
! [X1] :
( addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X1)))))))) != antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X1)))))))
| zero = antidomain(antidomain(X1)) ),
inference(definition_unfolding,[],[f70,f94,f99,f94,f99,f94,f94]) ).
fof(f70,plain,
! [X1] :
( addition(domain(X1),forward_diamond(sK0,domain(X1))) != forward_diamond(sK0,domain(X1))
| zero = domain(X1) ),
inference(cnf_transformation,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE129+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:26:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (11238)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)
% 0.19/0.51 % (11232)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (11246)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (11248)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)
% 0.19/0.53 % (11226)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (11234)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (11235)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (11222)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)
% 0.19/0.53 % (11224)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)
% 0.19/0.54 % (11244)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)
% 1.46/0.54 % (11240)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.46/0.54 % (11230)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.46/0.54 % (11233)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)
% 1.46/0.54 % (11230)Instruction limit reached!
% 1.46/0.54 % (11230)------------------------------
% 1.46/0.54 % (11230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (11230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54 % (11230)Termination reason: Unknown
% 1.46/0.54 % (11230)Termination phase: Preprocessing 2
% 1.46/0.54
% 1.46/0.54 % (11230)Memory used [KB]: 895
% 1.46/0.54 % (11230)Time elapsed: 0.003 s
% 1.46/0.54 % (11230)Instructions burned: 2 (million)
% 1.46/0.54 % (11230)------------------------------
% 1.46/0.54 % (11230)------------------------------
% 1.46/0.54 % (11236)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)
% 1.46/0.54 % (11229)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.46/0.54 % (11231)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)
% 1.46/0.54 % (11250)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.46/0.55 % (11245)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)
% 1.46/0.55 % (11225)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)
% 1.46/0.55 % (11228)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)
% 1.46/0.55 % (11242)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)
% 1.46/0.55 % (11246)First to succeed.
% 1.46/0.55 % (11223)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)
% 1.46/0.55 % (11227)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)
% 1.46/0.55 % (11246)Refutation found. Thanks to Tanya!
% 1.46/0.55 % SZS status Theorem for theBenchmark
% 1.46/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.55 % (11246)------------------------------
% 1.46/0.55 % (11246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (11246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55 % (11246)Termination reason: Refutation
% 1.46/0.55
% 1.46/0.55 % (11246)Memory used [KB]: 6012
% 1.46/0.55 % (11246)Time elapsed: 0.129 s
% 1.46/0.55 % (11246)Instructions burned: 32 (million)
% 1.46/0.55 % (11246)------------------------------
% 1.46/0.55 % (11246)------------------------------
% 1.46/0.55 % (11221)Success in time 0.203 s
%------------------------------------------------------------------------------