TSTP Solution File: KLE025+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE025+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 : Thu Aug 31 05:36:25 EDT 2023
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 47 ( 29 unt; 0 def)
% Number of atoms : 106 ( 66 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 85 ( 26 ~; 16 |; 29 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 55 (; 46 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f312,plain,
$false,
inference(trivial_inequality_removal,[],[f310]) ).
fof(f310,plain,
sF4 != sF4,
inference(backward_demodulation,[],[f65,f309]) ).
fof(f309,plain,
sF4 = sF5,
inference(forward_demodulation,[],[f308,f64]) ).
fof(f64,plain,
multiplication(sF4,sK2) = sF5,
introduced(function_definition,[]) ).
fof(f308,plain,
sF4 = multiplication(sF4,sK2),
inference(forward_demodulation,[],[f304,f45]) ).
fof(f45,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/tmp/tmp.rB0tfLrDlH/Vampire---4.8_13037',multiplicative_right_identity) ).
fof(f304,plain,
multiplication(sF4,sK2) = multiplication(sF4,one),
inference(superposition,[],[f89,f96]) ).
fof(f96,plain,
one = addition(sK2,sF6),
inference(forward_demodulation,[],[f93,f51]) ).
fof(f51,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.rB0tfLrDlH/Vampire---4.8_13037',additive_commutativity) ).
fof(f93,plain,
one = addition(sF6,sK2),
inference(resolution,[],[f76,f56]) ).
fof(f56,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] :
( complement(X4,X3)
<=> ( one = addition(X3,X4)
& zero = multiplication(X4,X3)
& zero = multiplication(X3,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.rB0tfLrDlH/Vampire---4.8_13037',test_2) ).
fof(f76,plain,
complement(sK2,sF6),
inference(forward_demodulation,[],[f73,f66]) ).
fof(f66,plain,
c(sK2) = sF6,
introduced(function_definition,[]) ).
fof(f73,plain,
complement(sK2,c(sK2)),
inference(resolution,[],[f39,f62]) ).
fof(f62,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.rB0tfLrDlH/Vampire---4.8_13037',test_3) ).
fof(f39,plain,
test(sK2),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( multiplication(sK1,sK0) != multiplication(multiplication(sK1,sK0),sK2)
& zero = multiplication(multiplication(sK1,sK0),c(sK2))
& test(sK2)
& test(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f26,f29]) ).
fof(f29,plain,
( ? [X0,X1,X2] :
( multiplication(X1,X0) != multiplication(multiplication(X1,X0),X2)
& zero = multiplication(multiplication(X1,X0),c(X2))
& test(X2)
& test(X1) )
=> ( multiplication(sK1,sK0) != multiplication(multiplication(sK1,sK0),sK2)
& zero = multiplication(multiplication(sK1,sK0),c(sK2))
& test(sK2)
& test(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1,X2] :
( multiplication(X1,X0) != multiplication(multiplication(X1,X0),X2)
& zero = multiplication(multiplication(X1,X0),c(X2))
& test(X2)
& test(X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
? [X0,X1,X2] :
( multiplication(X1,X0) != multiplication(multiplication(X1,X0),X2)
& zero = multiplication(multiplication(X1,X0),c(X2))
& test(X2)
& test(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1,X2] :
( ( test(X2)
& test(X1) )
=> ( zero = multiplication(multiplication(X1,X0),c(X2))
=> multiplication(X1,X0) = multiplication(multiplication(X1,X0),X2) ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X4,X5] :
( ( test(X5)
& test(X4) )
=> ( zero = multiplication(multiplication(X4,X3),c(X5))
=> multiplication(X4,X3) = multiplication(multiplication(X4,X3),X5) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X4,X5] :
( ( test(X5)
& test(X4) )
=> ( zero = multiplication(multiplication(X4,X3),c(X5))
=> multiplication(X4,X3) = multiplication(multiplication(X4,X3),X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.rB0tfLrDlH/Vampire---4.8_13037',goals) ).
fof(f89,plain,
! [X2] : multiplication(sF4,addition(X2,sF6)) = multiplication(sF4,X2),
inference(forward_demodulation,[],[f82,f44]) ).
fof(f44,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/tmp/tmp.rB0tfLrDlH/Vampire---4.8_13037',additive_identity) ).
fof(f82,plain,
! [X2] : multiplication(sF4,addition(X2,sF6)) = addition(multiplication(sF4,X2),zero),
inference(superposition,[],[f60,f69]) ).
fof(f69,plain,
zero = multiplication(sF4,sF6),
inference(backward_demodulation,[],[f67,f68]) ).
fof(f68,plain,
zero = sF7,
inference(definition_folding,[],[f40,f67,f66,f63]) ).
fof(f63,plain,
multiplication(sK1,sK0) = sF4,
introduced(function_definition,[]) ).
fof(f40,plain,
zero = multiplication(multiplication(sK1,sK0),c(sK2)),
inference(cnf_transformation,[],[f30]) ).
fof(f67,plain,
multiplication(sF4,sF6) = sF7,
introduced(function_definition,[]) ).
fof(f60,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/tmp/tmp.rB0tfLrDlH/Vampire---4.8_13037',right_distributivity) ).
fof(f65,plain,
sF4 != sF5,
inference(definition_folding,[],[f41,f64,f63,f63]) ).
fof(f41,plain,
multiplication(sK1,sK0) != multiplication(multiplication(sK1,sK0),sK2),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE025+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n006.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 : Tue Aug 29 12:14:06 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.rB0tfLrDlH/Vampire---4.8_13037
% 0.14/0.36 % (13148)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (13149)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.41 % (13150)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.41 % (13152)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.41 % (13151)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.41 % (13153)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.42 % (13154)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.42 % (13153)First to succeed.
% 0.22/0.43 % (13153)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (13153)------------------------------
% 0.22/0.43 % (13153)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (13153)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (13153)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (13153)Memory used [KB]: 1151
% 0.22/0.43 % (13153)Time elapsed: 0.013 s
% 0.22/0.43 % (13153)------------------------------
% 0.22/0.43 % (13153)------------------------------
% 0.22/0.43 % (13148)Success in time 0.071 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------