TSTP Solution File: KLE038+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE038+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 : n008.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 : Sun May 5 07:17:06 EDT 2024
% Result : Theorem 1.59s 0.58s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 59 ( 53 unt; 0 def)
% Number of atoms : 67 ( 43 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 12 ~; 5 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 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 : 98 ( 96 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9439,plain,
$false,
inference(resolution,[],[f9343,f27]) ).
fof(f27,plain,
~ leq(sK0,star(sK0)),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
~ leq(sK0,star(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f24]) ).
fof(f24,plain,
( ? [X0] : ~ leq(X0,star(X0))
=> ~ leq(sK0,star(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0] : ~ leq(X0,star(X0)),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0] : leq(X0,star(X0)),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3] : leq(X3,star(X3)),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3] : leq(X3,star(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f9343,plain,
! [X0] : leq(X0,star(X0)),
inference(superposition,[],[f7324,f7433]) ).
fof(f7433,plain,
! [X0] : star(X0) = multiplication(addition(one,X0),star(X0)),
inference(forward_demodulation,[],[f7432,f7428]) ).
fof(f7428,plain,
! [X0] : star(X0) = addition(multiplication(addition(one,X0),star(X0)),one),
inference(forward_demodulation,[],[f7367,f7336]) ).
fof(f7336,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f97,f5059]) ).
fof(f5059,plain,
! [X0] : star(X0) = addition(one,multiplication(addition(one,X0),star(X0))),
inference(forward_demodulation,[],[f5058,f515]) ).
fof(f515,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f42,f32]) ).
fof(f32,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f42,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(f5058,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f4983,f36]) ).
fof(f36,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/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f4983,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
inference(superposition,[],[f70,f39]) ).
fof(f39,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f20]) ).
fof(f20,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/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f70,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f34,f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f34,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f97,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f39,f33]) ).
fof(f33,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f7367,plain,
! [X0] : addition(one,star(X0)) = addition(multiplication(addition(one,X0),star(X0)),one),
inference(superposition,[],[f1280,f5059]) ).
fof(f1280,plain,
! [X0,X1] : addition(X1,X0) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f108,f134]) ).
fof(f134,plain,
! [X0,X1] : addition(X1,X0) = addition(X0,addition(X1,X0)),
inference(superposition,[],[f97,f36]) ).
fof(f108,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f39,f36]) ).
fof(f7432,plain,
! [X0] : multiplication(addition(one,X0),star(X0)) = addition(multiplication(addition(one,X0),star(X0)),one),
inference(forward_demodulation,[],[f7431,f97]) ).
fof(f7431,plain,
! [X0] : addition(multiplication(addition(one,X0),star(X0)),one) = multiplication(addition(one,addition(one,X0)),star(X0)),
inference(forward_demodulation,[],[f7430,f7027]) ).
fof(f7027,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = multiplication(addition(X1,one),X0),
inference(superposition,[],[f3550,f515]) ).
fof(f3550,plain,
! [X0,X1] : addition(X1,multiplication(X0,X1)) = multiplication(addition(X0,one),X1),
inference(superposition,[],[f520,f36]) ).
fof(f520,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f42,f32]) ).
fof(f7430,plain,
! [X0] : addition(multiplication(addition(one,X0),star(X0)),one) = multiplication(addition(addition(one,X0),one),star(X0)),
inference(forward_demodulation,[],[f7370,f520]) ).
fof(f7370,plain,
! [X0] : addition(multiplication(addition(one,X0),star(X0)),one) = addition(multiplication(addition(one,X0),star(X0)),star(X0)),
inference(superposition,[],[f1302,f5059]) ).
fof(f1302,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,X0)),
inference(superposition,[],[f108,f97]) ).
fof(f7324,plain,
! [X2,X0,X1] : leq(X1,multiplication(addition(X2,X1),star(X0))),
inference(superposition,[],[f3245,f5059]) ).
fof(f3245,plain,
! [X2,X0,X1] : leq(X1,multiplication(addition(X2,X1),addition(one,X0))),
inference(superposition,[],[f2812,f36]) ).
fof(f2812,plain,
! [X2,X0,X1] : leq(X1,multiplication(addition(X0,X1),addition(X2,one))),
inference(superposition,[],[f169,f288]) ).
fof(f288,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f41,f31]) ).
fof(f31,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f41,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f169,plain,
! [X2,X0,X1] : leq(X2,addition(X0,addition(X1,X2))),
inference(superposition,[],[f155,f39]) ).
fof(f155,plain,
! [X0,X1] : leq(X0,addition(X1,X0)),
inference(superposition,[],[f147,f36]) ).
fof(f147,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f38,f97]) ).
fof(f38,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KLE038+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 21:20:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (31809)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (31813)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 % (31812)WARNING: value z3 for option sas not known
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (31810)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (31812)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)
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (31814)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)
% 0.14/0.37 % (31815)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)
% 0.14/0.37 % (31811)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (31816)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.40 TRYING [3]
% 0.14/0.41 TRYING [5]
% 0.20/0.43 TRYING [4]
% 0.20/0.49 TRYING [6]
% 0.20/0.54 TRYING [5]
% 1.59/0.58 % (31815)First to succeed.
% 1.59/0.58 % (31815)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31809"
% 1.59/0.58 % (31815)Refutation found. Thanks to Tanya!
% 1.59/0.58 % SZS status Theorem for theBenchmark
% 1.59/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.58 % (31815)------------------------------
% 1.59/0.58 % (31815)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.59/0.58 % (31815)Termination reason: Refutation
% 1.59/0.58
% 1.59/0.58 % (31815)Memory used [KB]: 2937
% 1.59/0.58 % (31815)Time elapsed: 0.206 s
% 1.59/0.58 % (31815)Instructions burned: 478 (million)
% 1.59/0.58 % (31809)Success in time 0.21 s
%------------------------------------------------------------------------------