TSTP Solution File: KLE065+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE065+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 : n013.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 17:29:01 EDT 2022
% Result : Theorem 0.19s 0.60s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 29 unt; 0 def)
% Number of atoms : 45 ( 44 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 0 |; 5 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 28 ( 22 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f380,plain,
$false,
inference(subsumption_resolution,[],[f374,f62]) ).
fof(f62,plain,
zero != sF4,
inference(definition_folding,[],[f47,f61,f60]) ).
fof(f60,plain,
sF3 = domain(sK1),
introduced(function_definition,[]) ).
fof(f61,plain,
multiplication(sK0,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f47,plain,
zero != multiplication(sK0,domain(sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( zero = multiplication(sK0,sK1)
& zero != multiplication(sK0,domain(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f34,f35]) ).
fof(f35,plain,
( ? [X0,X1] :
( zero = multiplication(X0,X1)
& zero != multiplication(X0,domain(X1)) )
=> ( zero = multiplication(sK0,sK1)
& zero != multiplication(sK0,domain(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
? [X0,X1] :
( zero = multiplication(X0,X1)
& zero != multiplication(X0,domain(X1)) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
? [X1,X0] :
( zero = multiplication(X1,X0)
& zero != multiplication(X1,domain(X0)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1] :
( zero = multiplication(X1,X0)
=> zero = multiplication(X1,domain(X0)) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X4,X3] :
( zero = multiplication(X3,X4)
=> zero = multiplication(X3,domain(X4)) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X4,X3] :
( zero = multiplication(X3,X4)
=> zero = multiplication(X3,domain(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f374,plain,
zero = sF4,
inference(superposition,[],[f371,f45]) ).
fof(f45,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f371,plain,
zero = addition(sF4,zero),
inference(forward_demodulation,[],[f357,f56]) ).
fof(f56,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f357,plain,
multiplication(zero,sF4) = addition(sF4,multiplication(zero,sF4)),
inference(superposition,[],[f41,f351]) ).
fof(f351,plain,
zero = domain(sF4),
inference(forward_demodulation,[],[f350,f51]) ).
fof(f51,plain,
zero = domain(zero),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
zero = domain(zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f350,plain,
domain(zero) = domain(sF4),
inference(forward_demodulation,[],[f337,f63]) ).
fof(f63,plain,
zero = multiplication(sK0,sK1),
inference(forward_demodulation,[],[f58,f59]) ).
fof(f59,plain,
zero = sF2,
inference(definition_folding,[],[f48,f58]) ).
fof(f48,plain,
zero = multiplication(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f58,plain,
sF2 = multiplication(sK0,sK1),
introduced(function_definition,[]) ).
fof(f337,plain,
domain(sF4) = domain(multiplication(sK0,sK1)),
inference(superposition,[],[f94,f61]) ).
fof(f94,plain,
! [X1] : domain(multiplication(X1,sK1)) = domain(multiplication(X1,sF3)),
inference(superposition,[],[f57,f60]) ).
fof(f57,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X0] : domain(multiplication(X1,domain(X0))) = domain(multiplication(X1,X0)),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X3] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f41,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE065+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % 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 : n013.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 00:21:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.55 % (19372)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)
% 0.19/0.55 TRYING [1]
% 0.19/0.55 % (19388)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)
% 0.19/0.55 TRYING [2]
% 0.19/0.55 TRYING [3]
% 0.19/0.56 % (19387)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.56 % (19380)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)
% 0.19/0.56 % (19379)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.57 % (19395)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)
% 0.19/0.59 % (19370)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.59 TRYING [4]
% 0.19/0.59 % (19374)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.59 % (19379)First to succeed.
% 0.19/0.59 % (19374)Instruction limit reached!
% 0.19/0.59 % (19374)------------------------------
% 0.19/0.59 % (19374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (19374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (19374)Termination reason: Unknown
% 0.19/0.59 % (19374)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (19374)Memory used [KB]: 5373
% 0.19/0.59 % (19374)Time elapsed: 0.003 s
% 0.19/0.59 % (19374)Instructions burned: 2 (million)
% 0.19/0.59 % (19374)------------------------------
% 0.19/0.59 % (19374)------------------------------
% 0.19/0.59 % (19369)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)
% 0.19/0.59 % (19371)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)
% 0.19/0.60 % (19389)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)
% 0.19/0.60 % (19368)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)
% 0.19/0.60 % (19379)Refutation found. Thanks to Tanya!
% 0.19/0.60 % SZS status Theorem for theBenchmark
% 0.19/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.60 % (19379)------------------------------
% 0.19/0.60 % (19379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (19379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (19379)Termination reason: Refutation
% 0.19/0.60
% 0.19/0.60 % (19379)Memory used [KB]: 5628
% 0.19/0.60 % (19379)Time elapsed: 0.175 s
% 0.19/0.60 % (19379)Instructions burned: 13 (million)
% 0.19/0.60 % (19379)------------------------------
% 0.19/0.60 % (19379)------------------------------
% 0.19/0.60 % (19365)Success in time 0.249 s
%------------------------------------------------------------------------------