TSTP Solution File: KLE142+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE142+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 : 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 : Fri Sep 1 17:09:22 EDT 2023
% Result : Theorem 2.75s 0.84s
% Output : Refutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 36 unt; 0 def)
% Number of atoms : 60 ( 36 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 9 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 79 (; 77 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27168,plain,
$false,
inference(trivial_inequality_removal,[],[f26939]) ).
fof(f26939,plain,
strong_iteration(one) != strong_iteration(one),
inference(superposition,[],[f30,f26544]) ).
fof(f26544,plain,
! [X35] : strong_iteration(one) = strong_iteration(strong_iteration(X35)),
inference(superposition,[],[f23637,f11226]) ).
fof(f11226,plain,
! [X1] : strong_iteration(one) = addition(strong_iteration(one),X1),
inference(superposition,[],[f11220,f40]) ).
fof(f40,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/sandbox2/tmp/tmp.46bqjY35QW/Vampire---4.8_5655',additive_commutativity) ).
fof(f11220,plain,
! [X0] : strong_iteration(one) = addition(X0,strong_iteration(one)),
inference(unit_resulting_resolution,[],[f11219,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.46bqjY35QW/Vampire---4.8_5655',order) ).
fof(f11219,plain,
! [X0] : leq(X0,strong_iteration(one)),
inference(superposition,[],[f11206,f33]) ).
fof(f33,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.46bqjY35QW/Vampire---4.8_5655',multiplicative_right_identity) ).
fof(f11206,plain,
! [X11,X12] : leq(X11,multiplication(strong_iteration(one),X12)),
inference(subsumption_resolution,[],[f11172,f202]) ).
fof(f202,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(unit_resulting_resolution,[],[f177,f42]) ).
fof(f42,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f177,plain,
! [X2,X3] : addition(X2,X3) = addition(X2,addition(X2,X3)),
inference(superposition,[],[f43,f35]) ).
fof(f35,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.46bqjY35QW/Vampire---4.8_5655',idempotence) ).
fof(f43,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.46bqjY35QW/Vampire---4.8_5655',additive_associativity) ).
fof(f11172,plain,
! [X11,X12] :
( ~ leq(X11,addition(X11,X12))
| leq(X11,multiplication(strong_iteration(one),X12)) ),
inference(superposition,[],[f47,f34]) ).
fof(f34,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.46bqjY35QW/Vampire---4.8_5655',multiplicative_left_identity) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ leq(X2,addition(multiplication(X0,X2),X1))
| leq(X2,multiplication(strong_iteration(X0),X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( leq(X2,multiplication(strong_iteration(X0),X1))
| ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(X2,addition(multiplication(X0,X2),X1))
=> leq(X2,multiplication(strong_iteration(X0),X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.46bqjY35QW/Vampire---4.8_5655',infty_coinduction) ).
fof(f23637,plain,
! [X0,X1] : strong_iteration(strong_iteration(X0)) = addition(X1,strong_iteration(strong_iteration(X0))),
inference(unit_resulting_resolution,[],[f23604,f41]) ).
fof(f23604,plain,
! [X2,X3] : leq(X3,strong_iteration(strong_iteration(X2))),
inference(superposition,[],[f23592,f125]) ).
fof(f125,plain,
! [X1] : strong_iteration(X1) = addition(one,multiplication(X1,strong_iteration(X1))),
inference(superposition,[],[f38,f40]) ).
fof(f38,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox2/tmp/tmp.46bqjY35QW/Vampire---4.8_5655',infty_unfold1) ).
fof(f23592,plain,
! [X0,X1] : leq(X1,strong_iteration(addition(one,X0))),
inference(superposition,[],[f23440,f33]) ).
fof(f23440,plain,
! [X62,X60,X61] : leq(X61,multiplication(strong_iteration(addition(one,X60)),X62)),
inference(subsumption_resolution,[],[f23439,f202]) ).
fof(f23439,plain,
! [X62,X60,X61] :
( ~ leq(X61,addition(X61,addition(multiplication(X60,X61),X62)))
| leq(X61,multiplication(strong_iteration(addition(one,X60)),X62)) ),
inference(forward_demodulation,[],[f23142,f43]) ).
fof(f23142,plain,
! [X62,X60,X61] :
( ~ leq(X61,addition(addition(X61,multiplication(X60,X61)),X62))
| leq(X61,multiplication(strong_iteration(addition(one,X60)),X62)) ),
inference(superposition,[],[f47,f8444]) ).
fof(f8444,plain,
! [X8,X9] : multiplication(addition(one,X9),X8) = addition(X8,multiplication(X9,X8)),
inference(superposition,[],[f46,f34]) ).
fof(f46,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/sandbox2/tmp/tmp.46bqjY35QW/Vampire---4.8_5655',distributivity2) ).
fof(f30,plain,
strong_iteration(one) != strong_iteration(strong_iteration(sK0)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
strong_iteration(one) != strong_iteration(strong_iteration(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f27]) ).
fof(f27,plain,
( ? [X0] : strong_iteration(one) != strong_iteration(strong_iteration(X0))
=> strong_iteration(one) != strong_iteration(strong_iteration(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0] : strong_iteration(one) != strong_iteration(strong_iteration(X0)),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0] : strong_iteration(one) = strong_iteration(strong_iteration(X0)),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3] : strong_iteration(strong_iteration(X3)) = strong_iteration(one),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3] : strong_iteration(strong_iteration(X3)) = strong_iteration(one),
file('/export/starexec/sandbox2/tmp/tmp.46bqjY35QW/Vampire---4.8_5655',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE142+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34 % Computer : n006.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 : Wed Aug 30 17:42:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.40 % (5761)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (5765)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.18/0.41 % (5763)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.18/0.41 % (5767)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)
% 0.18/0.41 % (5764)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)
% 0.18/0.41 % (5766)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)
% 0.18/0.41 % (5762)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.18/0.41 % (5768)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)
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 TRYING [3]
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [2]
% 0.18/0.42 TRYING [4]
% 0.18/0.42 TRYING [3]
% 0.18/0.45 TRYING [4]
% 0.18/0.46 TRYING [5]
% 0.18/0.57 TRYING [6]
% 0.18/0.57 TRYING [5]
% 2.75/0.80 TRYING [7]
% 2.75/0.84 % (5768)First to succeed.
% 2.75/0.84 % (5768)Refutation found. Thanks to Tanya!
% 2.75/0.84 % SZS status Theorem for Vampire---4
% 2.75/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 2.75/0.84 % (5768)------------------------------
% 2.75/0.84 % (5768)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.75/0.84 % (5768)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.75/0.84 % (5768)Termination reason: Refutation
% 2.75/0.84
% 2.75/0.84 % (5768)Memory used [KB]: 14711
% 2.75/0.84 % (5768)Time elapsed: 0.435 s
% 2.75/0.84 % (5768)------------------------------
% 2.75/0.84 % (5768)------------------------------
% 2.75/0.84 % (5761)Success in time 0.494 s
% 2.75/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------