TSTP Solution File: KLE067+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE067+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 : n006.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 0.10s 0.47s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 21 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f111,plain,
$false,
inference(trivial_inequality_removal,[],[f110]) ).
fof(f110,plain,
addition(domain(sK0),domain(sK1)) != addition(domain(sK0),domain(sK1)),
inference(forward_demodulation,[],[f102,f77]) ).
fof(f77,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f74,f43]) ).
fof(f43,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f74,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[],[f46,f43]) ).
fof(f46,plain,
! [X0,X1] : domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] : domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f102,plain,
addition(domain(sK0),domain(sK1)) != addition(domain(domain(sK0)),domain(sK1)),
inference(backward_demodulation,[],[f69,f77]) ).
fof(f69,plain,
addition(domain(sK0),domain(sK1)) != addition(domain(domain(sK0)),domain(domain(sK1))),
inference(superposition,[],[f42,f41]) ).
fof(f41,plain,
! [X0,X1] : domain(addition(X1,X0)) = addition(domain(X1),domain(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] : domain(addition(X1,X0)) = addition(domain(X1),domain(X0)),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain5) ).
fof(f42,plain,
addition(domain(sK0),domain(sK1)) != domain(addition(domain(sK0),domain(sK1))),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
addition(domain(sK0),domain(sK1)) != domain(addition(domain(sK0),domain(sK1))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f30,f32]) ).
fof(f32,plain,
( ? [X0,X1] : domain(addition(domain(X0),domain(X1))) != addition(domain(X0),domain(X1))
=> addition(domain(sK0),domain(sK1)) != domain(addition(domain(sK0),domain(sK1))) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0,X1] : domain(addition(domain(X0),domain(X1))) != addition(domain(X0),domain(X1)),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X1,X0] : domain(addition(domain(X0),domain(X1))) = addition(domain(X0),domain(X1)),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4] : addition(domain(X3),domain(X4)) = domain(addition(domain(X3),domain(X4))),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3,X4] : addition(domain(X3),domain(X4)) = domain(addition(domain(X3),domain(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : KLE067+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.06/0.26 % Computer : n006.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue Aug 30 00:23:40 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.10/0.43 % (19905)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)
% 0.10/0.43 % (19896)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.10/0.44 % (19895)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)
% 0.10/0.44 TRYING [1]
% 0.10/0.44 % (19911)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)
% 0.10/0.44 TRYING [2]
% 0.10/0.45 % (19897)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.45 TRYING [3]
% 0.10/0.45 % (19912)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)
% 0.10/0.45 % (19903)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)
% 0.10/0.45 % (19896)Instruction limit reached!
% 0.10/0.45 % (19896)------------------------------
% 0.10/0.45 % (19896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.45 % (19904)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)
% 0.10/0.45 % (19896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.45 % (19896)Termination reason: Unknown
% 0.10/0.45 % (19896)Termination phase: Saturation
% 0.10/0.45
% 0.10/0.45 % (19896)Memory used [KB]: 5500
% 0.10/0.45 % (19896)Time elapsed: 0.117 s
% 0.10/0.45 % (19896)Instructions burned: 7 (million)
% 0.10/0.45 % (19896)------------------------------
% 0.10/0.45 % (19896)------------------------------
% 0.10/0.45 % (19897)Instruction limit reached!
% 0.10/0.45 % (19897)------------------------------
% 0.10/0.45 % (19897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.45 % (19897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.45 % (19897)Termination reason: Unknown
% 0.10/0.45 % (19897)Termination phase: Saturation
% 0.10/0.45
% 0.10/0.45 % (19897)Memory used [KB]: 5373
% 0.10/0.45 % (19897)Time elapsed: 0.124 s
% 0.10/0.45 % (19897)Instructions burned: 2 (million)
% 0.10/0.45 % (19897)------------------------------
% 0.10/0.45 % (19897)------------------------------
% 0.10/0.46 % (19913)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.10/0.47 % (19911)First to succeed.
% 0.10/0.47 % (19911)Refutation found. Thanks to Tanya!
% 0.10/0.47 % SZS status Theorem for theBenchmark
% 0.10/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.47 % (19911)------------------------------
% 0.10/0.47 % (19911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.47 % (19911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.47 % (19911)Termination reason: Refutation
% 0.10/0.47
% 0.10/0.47 % (19911)Memory used [KB]: 1023
% 0.10/0.47 % (19911)Time elapsed: 0.136 s
% 0.10/0.47 % (19911)Instructions burned: 5 (million)
% 0.10/0.47 % (19911)------------------------------
% 0.10/0.47 % (19911)------------------------------
% 0.10/0.47 % (19888)Success in time 0.208 s
%------------------------------------------------------------------------------