TSTP Solution File: KLE083+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE083+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n009.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 : Fri Sep 1 17:09:15 EDT 2023
% Result : Theorem 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 32 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 37 (; 35 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2482,plain,
$false,
inference(trivial_inequality_removal,[],[f2470]) ).
fof(f2470,plain,
sK0 != sK0,
inference(superposition,[],[f37,f2454]) ).
fof(f2454,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(forward_demodulation,[],[f2434,f42]) ).
fof(f42,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.fOIeTWbrTw/Vampire---4.8_7326',multiplicative_left_identity) ).
fof(f2434,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(superposition,[],[f659,f108]) ).
fof(f108,plain,
! [X1] : one = addition(antidomain(X1),domain(X1)),
inference(superposition,[],[f60,f50]) ).
fof(f50,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.fOIeTWbrTw/Vampire---4.8_7326',additive_commutativity) ).
fof(f60,plain,
! [X0] : one = addition(domain(X0),antidomain(X0)),
inference(forward_demodulation,[],[f49,f47]) ).
fof(f47,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox/tmp/tmp.fOIeTWbrTw/Vampire---4.8_7326',domain4) ).
fof(f49,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
file('/export/starexec/sandbox/tmp/tmp.fOIeTWbrTw/Vampire---4.8_7326',domain3) ).
fof(f659,plain,
! [X18,X17] : multiplication(addition(antidomain(X17),X18),X17) = multiplication(X18,X17),
inference(forward_demodulation,[],[f624,f75]) ).
fof(f75,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f50,f40]) ).
fof(f40,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/tmp/tmp.fOIeTWbrTw/Vampire---4.8_7326',additive_identity) ).
fof(f624,plain,
! [X18,X17] : multiplication(addition(antidomain(X17),X18),X17) = addition(zero,multiplication(X18,X17)),
inference(superposition,[],[f58,f45]) ).
fof(f45,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox/tmp/tmp.fOIeTWbrTw/Vampire---4.8_7326',domain1) ).
fof(f58,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/tmp/tmp.fOIeTWbrTw/Vampire---4.8_7326',left_distributivity) ).
fof(f37,plain,
sK0 != multiplication(domain(sK0),sK0),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
sK0 != multiplication(domain(sK0),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f33,f34]) ).
fof(f34,plain,
( ? [X0] : multiplication(domain(X0),X0) != X0
=> sK0 != multiplication(domain(sK0),sK0) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0] : multiplication(domain(X0),X0) != X0,
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0] : multiplication(domain(X0),X0) = X0,
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X3] : multiplication(domain(X3),X3) = X3,
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X3] : multiplication(domain(X3),X3) = X3,
file('/export/starexec/sandbox/tmp/tmp.fOIeTWbrTw/Vampire---4.8_7326',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE083+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 30 17:42:04 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.40 % (7432)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.41 % (7438)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.12/0.41 % (7436)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.12/0.41 % (7439)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 Vampire---4 for (531ds/0Mi)
% 0.12/0.41 % (7440)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 Vampire---4 for (522ds/0Mi)
% 0.12/0.41 % (7437)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 Vampire---4 for (569ds/0Mi)
% 0.12/0.41 % (7441)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 Vampire---4 for (497ds/0Mi)
% 0.12/0.41 % (7435)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.12/0.41 TRYING [1]
% 0.12/0.41 TRYING [2]
% 0.12/0.41 TRYING [3]
% 0.18/0.42 TRYING [1]
% 0.18/0.42 TRYING [2]
% 0.18/0.42 TRYING [4]
% 0.18/0.43 TRYING [3]
% 0.18/0.44 TRYING [1]
% 0.18/0.44 TRYING [2]
% 0.18/0.44 TRYING [3]
% 0.18/0.45 TRYING [4]
% 0.18/0.46 % (7440)First to succeed.
% 0.18/0.46 TRYING [4]
% 0.18/0.46 % (7440)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Theorem for Vampire---4
% 0.18/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.46 % (7440)------------------------------
% 0.18/0.46 % (7440)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.46 % (7440)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.46 % (7440)Termination reason: Refutation
% 0.18/0.46
% 0.18/0.46 % (7440)Memory used [KB]: 2430
% 0.18/0.46 % (7440)Time elapsed: 0.051 s
% 0.18/0.46 % (7440)------------------------------
% 0.18/0.46 % (7440)------------------------------
% 0.18/0.46 % (7432)Success in time 0.115 s
% 0.18/0.46 7437 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.fOIeTWbrTw/Vampire---4.8_7326
% 0.18/0.46 % (7437)------------------------------
% 0.18/0.46 % (7437)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.46 % (7437)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.46 % (7437)Termination reason: Unknown
% 0.18/0.46 % (7437)Termination phase: Saturation
% 0.18/0.46
% 0.18/0.46 % (7437)Memory used [KB]: 5373
% 0.18/0.46 % (7437)Time elapsed: 0.054 s
% 0.18/0.46 % (7437)------------------------------
% 0.18/0.46 % (7437)------------------------------
% 0.18/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------