TSTP Solution File: KLE072+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KLE072+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 : n018.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 17:29:02 EDT 2022
% Result : Theorem 1.90s 0.61s
% Output : Refutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 18 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 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 : 38 ( 29 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,plain,
$false,
inference(trivial_inequality_removal,[],[f57]) ).
fof(f57,plain,
domain(addition(multiplication(sK0,domain(sK1)),multiplication(sK2,domain(sK1)))) != domain(addition(multiplication(sK0,domain(sK1)),multiplication(sK2,domain(sK1)))),
inference(backward_demodulation,[],[f56,f52]) ).
fof(f52,plain,
! [X0,X1] : addition(domain(X1),domain(X0)) = domain(addition(X1,X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] : addition(domain(X1),domain(X0)) = domain(addition(X1,X0)),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X1,X0] : addition(domain(X0),domain(X1)) = domain(addition(X0,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(f56,plain,
addition(domain(multiplication(sK0,domain(sK1))),domain(multiplication(sK2,domain(sK1)))) != domain(addition(multiplication(sK0,domain(sK1)),multiplication(sK2,domain(sK1)))),
inference(backward_demodulation,[],[f53,f42]) ).
fof(f42,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X2,X1,X0] : addition(multiplication(X2,X0),multiplication(X1,X0)) = multiplication(addition(X2,X1),X0),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X1,X0] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f53,plain,
domain(multiplication(addition(sK0,sK2),domain(sK1))) != addition(domain(multiplication(sK0,domain(sK1))),domain(multiplication(sK2,domain(sK1)))),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
domain(multiplication(addition(sK0,sK2),domain(sK1))) != addition(domain(multiplication(sK0,domain(sK1))),domain(multiplication(sK2,domain(sK1)))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f35,f36]) ).
fof(f36,plain,
( ? [X0,X1,X2] : addition(domain(multiplication(X0,domain(X1))),domain(multiplication(X2,domain(X1)))) != domain(multiplication(addition(X0,X2),domain(X1)))
=> domain(multiplication(addition(sK0,sK2),domain(sK1))) != addition(domain(multiplication(sK0,domain(sK1))),domain(multiplication(sK2,domain(sK1)))) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0,X1,X2] : addition(domain(multiplication(X0,domain(X1))),domain(multiplication(X2,domain(X1)))) != domain(multiplication(addition(X0,X2),domain(X1))),
inference(rectify,[],[f30]) ).
fof(f30,plain,
? [X0,X2,X1] : addition(domain(multiplication(X0,domain(X2))),domain(multiplication(X1,domain(X2)))) != domain(multiplication(addition(X0,X1),domain(X2))),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ! [X1,X0,X2] : addition(domain(multiplication(X0,domain(X2))),domain(multiplication(X1,domain(X2)))) = domain(multiplication(addition(X0,X1),domain(X2))),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3,X4,X5] : domain(multiplication(addition(X3,X4),domain(X5))) = addition(domain(multiplication(X3,domain(X5))),domain(multiplication(X4,domain(X5)))),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3,X4,X5] : domain(multiplication(addition(X3,X4),domain(X5))) = addition(domain(multiplication(X3,domain(X5))),domain(multiplication(X4,domain(X5)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE072+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 : n018.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 00:29:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.57 % (27907)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58 % (27908)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.58 % (27908)Instruction limit reached!
% 0.20/0.58 % (27908)------------------------------
% 0.20/0.58 % (27908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (27908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (27908)Termination reason: Unknown
% 0.20/0.58 % (27924)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.58 % (27908)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (27908)Memory used [KB]: 5373
% 0.20/0.58 % (27908)Time elapsed: 0.003 s
% 0.20/0.58 % (27908)Instructions burned: 2 (million)
% 0.20/0.58 % (27908)------------------------------
% 0.20/0.58 % (27908)------------------------------
% 0.20/0.59 % (27916)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)
% 1.90/0.60 % (27923)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)
% 1.90/0.61 % (27907)Instruction limit reached!
% 1.90/0.61 % (27907)------------------------------
% 1.90/0.61 % (27907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.61 % (27923)First to succeed.
% 1.90/0.61 % (27923)Refutation found. Thanks to Tanya!
% 1.90/0.61 % SZS status Theorem for theBenchmark
% 1.90/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.90/0.61 % (27923)------------------------------
% 1.90/0.61 % (27923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.61 % (27923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.61 % (27923)Termination reason: Refutation
% 1.90/0.61
% 1.90/0.61 % (27923)Memory used [KB]: 5373
% 1.90/0.61 % (27923)Time elapsed: 0.005 s
% 1.90/0.61 % (27923)Instructions burned: 2 (million)
% 1.90/0.61 % (27923)------------------------------
% 1.90/0.61 % (27923)------------------------------
% 1.90/0.61 % (27899)Success in time 0.256 s
%------------------------------------------------------------------------------