TSTP Solution File: KLE072+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE072+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Tue Apr 30 13:11:51 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 20 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 33 ( 27 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75,plain,
$false,
inference(trivial_inequality_removal,[],[f74]) ).
fof(f74,plain,
domain(multiplication(addition(sK0,sK1),sK2)) != domain(multiplication(addition(sK0,sK1),sK2)),
inference(forward_demodulation,[],[f68,f45]) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f68,plain,
domain(addition(multiplication(sK0,sK2),multiplication(sK1,sK2))) != domain(multiplication(addition(sK0,sK1),sK2)),
inference(superposition,[],[f48,f40]) ).
fof(f40,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] : 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/sandbox/benchmark/theBenchmark.p',domain5) ).
fof(f48,plain,
addition(domain(multiplication(sK0,sK2)),domain(multiplication(sK1,sK2))) != domain(multiplication(addition(sK0,sK1),sK2)),
inference(forward_demodulation,[],[f47,f41]) ).
fof(f41,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f47,plain,
domain(multiplication(addition(sK0,sK1),domain(sK2))) != addition(domain(multiplication(sK0,sK2)),domain(multiplication(sK1,sK2))),
inference(forward_demodulation,[],[f46,f41]) ).
fof(f46,plain,
domain(multiplication(addition(sK0,sK1),domain(sK2))) != addition(domain(multiplication(sK0,domain(sK2))),domain(multiplication(sK1,sK2))),
inference(backward_demodulation,[],[f29,f41]) ).
fof(f29,plain,
domain(multiplication(addition(sK0,sK1),domain(sK2))) != addition(domain(multiplication(sK0,domain(sK2))),domain(multiplication(sK1,domain(sK2)))),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
domain(multiplication(addition(sK0,sK1),domain(sK2))) != addition(domain(multiplication(sK0,domain(sK2))),domain(multiplication(sK1,domain(sK2)))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1,X2] : domain(multiplication(addition(X0,X1),domain(X2))) != addition(domain(multiplication(X0,domain(X2))),domain(multiplication(X1,domain(X2))))
=> domain(multiplication(addition(sK0,sK1),domain(sK2))) != addition(domain(multiplication(sK0,domain(sK2))),domain(multiplication(sK1,domain(sK2)))) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1,X2] : domain(multiplication(addition(X0,X1),domain(X2))) != addition(domain(multiplication(X0,domain(X2))),domain(multiplication(X1,domain(X2)))),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2] : domain(multiplication(addition(X0,X1),domain(X2))) = addition(domain(multiplication(X0,domain(X2))),domain(multiplication(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/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE072+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:59:02 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (28554)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (28557)WARNING: value z3 for option sas not known
% 0.15/0.38 % (28556)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (28558)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (28557)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (28559)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (28560)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (28555)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (28561)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (28560)First to succeed.
% 0.15/0.39 % (28559)Also succeeded, but the first one will report.
% 0.15/0.39 % (28560)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (28560)------------------------------
% 0.15/0.39 % (28560)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (28560)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (28560)Memory used [KB]: 859
% 0.15/0.39 % (28560)Time elapsed: 0.005 s
% 0.15/0.39 % (28560)Instructions burned: 6 (million)
% 0.15/0.39 % (28560)------------------------------
% 0.15/0.39 % (28560)------------------------------
% 0.15/0.39 % (28554)Success in time 0.021 s
%------------------------------------------------------------------------------