TSTP Solution File: NUM848+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM848+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 14:37:53 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 31
% Syntax : Number of formulae : 112 ( 51 unt; 0 def)
% Number of atoms : 213 ( 100 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 181 ( 80 ~; 78 |; 3 &)
% ( 18 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f225,plain,
$false,
inference(avatar_sat_refutation,[],[f64,f72,f76,f80,f84,f88,f92,f96,f140,f146,f153,f166,f176,f183,f189,f194,f209,f217,f223]) ).
fof(f223,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f222,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f221]) ).
fof(f221,plain,
( vmul(vd436,vplus(vd439,vplus(vd437,v1))) != vmul(vd436,vplus(vd439,vplus(vd437,v1)))
| spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f220,f79]) ).
fof(f79,plain,
( ! [X0,X1] : vplus(X1,X0) = vplus(X0,X1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl0_4
<=> ! [X0,X1] : vplus(X1,X0) = vplus(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f220,plain,
( vmul(vd436,vplus(vd439,vplus(vd437,v1))) != vmul(vd436,vplus(vd439,vplus(v1,vd437)))
| spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f218,f101]) ).
fof(f101,plain,
( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(X2,vplus(X0,X1))
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f87,f79]) ).
fof(f87,plain,
( ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_6
<=> ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f218,plain,
( vmul(vd436,vplus(vd437,vplus(vd439,v1))) != vmul(vd436,vplus(vd439,vplus(vd437,v1)))
| spl0_2
| ~ spl0_18 ),
inference(superposition,[],[f71,f216]) ).
fof(f216,plain,
( vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))) = vmul(vd436,vplus(vd439,vplus(vd437,v1)))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl0_18
<=> vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))) = vmul(vd436,vplus(vd439,vplus(vd437,v1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f71,plain,
( vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))) != vmul(vd436,vplus(vd437,vplus(vd439,v1)))
| spl0_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl0_2
<=> vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))) = vmul(vd436,vplus(vd437,vplus(vd439,v1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f217,plain,
( spl0_18
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f212,f206,f94,f86,f78,f214]) ).
fof(f94,plain,
( spl0_8
<=> ! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f206,plain,
( spl0_17
<=> vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vmul(vd436,vplus(vd437,vplus(v1,vd439))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f212,plain,
( vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))) = vmul(vd436,vplus(vd439,vplus(vd437,v1)))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f211,f79]) ).
fof(f211,plain,
( vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))) = vmul(vd436,vplus(vd439,vplus(vd437,v1)))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f210,f95]) ).
fof(f95,plain,
( ! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f210,plain,
( vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vmul(vd436,vplus(vd439,vplus(vd437,v1)))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f208,f101]) ).
fof(f208,plain,
( vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vmul(vd436,vplus(vd437,vplus(v1,vd439)))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f209,plain,
spl0_17,
inference(avatar_split_clause,[],[f59,f206]) ).
fof(f59,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vmul(vd436,vplus(vd437,vplus(v1,vd439))),
inference(forward_demodulation,[],[f58,f55]) ).
fof(f55,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vmul(vd436,vplus(vd437,vplus(v1,vd439))),
inference(forward_demodulation,[],[f48,f47]) ).
fof(f47,plain,
vmul(vd436,vplus(v1,vplus(vd437,vd439))) = vmul(vd436,vplus(vd437,vplus(v1,vd439))),
inference(definition_unfolding,[],[f31,f36,f36]) ).
fof(f36,plain,
! [X0] : vplus(v1,X0) = vsucc(X0),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] : vplus(v1,X0) = vsucc(X0),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X8] : vplus(v1,X8) = vsucc(X8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f31,plain,
vmul(vd436,vsucc(vplus(vd437,vd439))) = vmul(vd436,vplus(vd437,vsucc(vd439))),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
vmul(vd436,vsucc(vplus(vd437,vd439))) = vmul(vd436,vplus(vd437,vsucc(vd439))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 0)') ).
fof(f48,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vmul(vd436,vplus(v1,vplus(vd437,vd439))),
inference(definition_unfolding,[],[f33,f36]) ).
fof(f33,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vmul(vd436,vsucc(vplus(vd437,vd439))),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vmul(vd436,vsucc(vplus(vd437,vd439))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 1)') ).
fof(f58,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
inference(forward_demodulation,[],[f35,f32]) ).
fof(f32,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd437,vd439)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd437,vd439)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(285, 440, 0)') ).
fof(f35,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 3)') ).
fof(f194,plain,
( spl0_16
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f185,f180,f86,f78,f191]) ).
fof(f191,plain,
( spl0_16
<=> vmul(vd436,vplus(vd439,vplus(vd437,v1))) = vplus(vmul(vd436,vplus(vd439,vd437)),vd436) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f180,plain,
( spl0_14
<=> vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vmul(vd436,vplus(vd437,vplus(v1,vd439))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f185,plain,
( vmul(vd436,vplus(vd439,vplus(vd437,v1))) = vplus(vmul(vd436,vplus(vd439,vd437)),vd436)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f184,f79]) ).
fof(f184,plain,
( vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vmul(vd436,vplus(vd439,vplus(vd437,v1)))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14 ),
inference(forward_demodulation,[],[f182,f101]) ).
fof(f182,plain,
( vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vmul(vd436,vplus(vd437,vplus(v1,vd439)))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f189,plain,
( spl0_15
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f126,f94,f74,f187]) ).
fof(f187,plain,
( spl0_15
<=> ! [X0] : vmul(X0,vplus(v1,v1)) = vplus(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f74,plain,
( spl0_3
<=> ! [X0] : vmul(X0,v1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f126,plain,
( ! [X0] : vmul(X0,vplus(v1,v1)) = vplus(X0,X0)
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f95,f75]) ).
fof(f75,plain,
( ! [X0] : vmul(X0,v1) = X0
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f183,plain,
spl0_14,
inference(avatar_split_clause,[],[f55,f180]) ).
fof(f176,plain,
spl0_13,
inference(avatar_split_clause,[],[f47,f173]) ).
fof(f173,plain,
( spl0_13
<=> vmul(vd436,vplus(v1,vplus(vd437,vd439))) = vmul(vd436,vplus(vd437,vplus(v1,vd439))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f166,plain,
( spl0_12
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f141,f137,f78,f163]) ).
fof(f163,plain,
( spl0_12
<=> vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd439,vd437)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f137,plain,
( spl0_9
<=> vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd437,vd439)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f141,plain,
( vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd439,vd437))
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f139,f79]) ).
fof(f139,plain,
( vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd437,vd439))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f153,plain,
( spl0_11
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f148,f143,f78,f74,f150]) ).
fof(f150,plain,
( spl0_11
<=> vplus(vmul(vd436,vd437),vd436) = vmul(vd436,vplus(vd437,v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f143,plain,
( spl0_10
<=> vplus(vmul(vd436,vd437),vmul(vd436,v1)) = vmul(vd436,vplus(v1,vd437)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f148,plain,
( vplus(vmul(vd436,vd437),vd436) = vmul(vd436,vplus(vd437,v1))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f147,f75]) ).
fof(f147,plain,
( vplus(vmul(vd436,vd437),vmul(vd436,v1)) = vmul(vd436,vplus(vd437,v1))
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f145,f79]) ).
fof(f145,plain,
( vplus(vmul(vd436,vd437),vmul(vd436,v1)) = vmul(vd436,vplus(v1,vd437))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,plain,
spl0_10,
inference(avatar_split_clause,[],[f54,f143]) ).
fof(f54,plain,
vplus(vmul(vd436,vd437),vmul(vd436,v1)) = vmul(vd436,vplus(v1,vd437)),
inference(forward_demodulation,[],[f30,f46]) ).
fof(f46,plain,
vplus(vmul(vd436,vd437),vd436) = vmul(vd436,vplus(v1,vd437)),
inference(definition_unfolding,[],[f29,f36]) ).
fof(f29,plain,
vplus(vmul(vd436,vd437),vd436) = vmul(vd436,vsucc(vd437)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
vplus(vmul(vd436,vd437),vd436) = vmul(vd436,vsucc(vd437)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(284, 438, 1)') ).
fof(f30,plain,
vplus(vmul(vd436,vd437),vd436) = vplus(vmul(vd436,vd437),vmul(vd436,v1)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
vplus(vmul(vd436,vd437),vd436) = vplus(vmul(vd436,vd437),vmul(vd436,v1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(284, 438, 2)') ).
fof(f140,plain,
spl0_9,
inference(avatar_split_clause,[],[f32,f137]) ).
fof(f96,plain,
spl0_8,
inference(avatar_split_clause,[],[f53,f94]) ).
fof(f53,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f42,f36]) ).
fof(f42,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( vmul(X0,v1) = X0
& vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f92,plain,
spl0_7,
inference(avatar_split_clause,[],[f52,f90]) ).
fof(f90,plain,
( spl0_7
<=> ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f52,plain,
! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f40,f36,f36]) ).
fof(f40,plain,
! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X12,X13] :
( vplus(X12,v1) = vsucc(X12)
& vplus(X12,vsucc(X13)) = vsucc(vplus(X12,X13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f88,plain,
spl0_6,
inference(avatar_split_clause,[],[f44,f86]) ).
fof(f44,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X9,X10,X11] : vplus(vplus(X9,X10),X11) = vplus(X9,vplus(X10,X11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f84,plain,
spl0_5,
inference(avatar_split_clause,[],[f49,f82]) ).
fof(f82,plain,
( spl0_5
<=> ! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f49,plain,
! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 ),
inference(definition_unfolding,[],[f37,f36]) ).
fof(f37,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( v1 != X0
=> vsucc(vskolem2(X0)) = X0 ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X14] :
( v1 != X14
=> vsucc(vskolem2(X14)) = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof(f80,plain,
spl0_4,
inference(avatar_split_clause,[],[f38,f78]) ).
fof(f38,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X4,X5] : vplus(X5,X4) = vplus(X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f76,plain,
spl0_3,
inference(avatar_split_clause,[],[f43,f74]) ).
fof(f43,plain,
! [X0] : vmul(X0,v1) = X0,
inference(cnf_transformation,[],[f10]) ).
fof(f72,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f67,f61,f69]) ).
fof(f61,plain,
( spl0_1
<=> vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f67,plain,
( vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))) != vmul(vd436,vplus(vd437,vplus(vd439,v1)))
| spl0_1 ),
inference(forward_demodulation,[],[f66,f38]) ).
fof(f66,plain,
( vmul(vd436,vplus(vd437,vplus(v1,vd439))) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1)))
| spl0_1 ),
inference(forward_demodulation,[],[f65,f59]) ).
fof(f65,plain,
( vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1)))
| spl0_1 ),
inference(forward_demodulation,[],[f63,f38]) ).
fof(f63,plain,
( vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439)))
| spl0_1 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f45,f61]) ).
fof(f45,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))),
inference(definition_unfolding,[],[f28,f36]) ).
fof(f28,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 4)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM848+2 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:33:41 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (5011)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (5014)WARNING: value z3 for option sas not known
% 0.13/0.36 % (5014)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)
% 0.13/0.37 % (5012)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (5013)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (5015)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (5016)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)
% 0.13/0.37 % (5017)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)
% 0.13/0.37 % (5018)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (5016)First to succeed.
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (5016)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (5016)------------------------------
% 0.13/0.38 % (5016)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (5016)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (5016)Memory used [KB]: 862
% 0.13/0.38 % (5016)Time elapsed: 0.010 s
% 0.13/0.38 % (5016)Instructions burned: 14 (million)
% 0.13/0.38 % (5016)------------------------------
% 0.13/0.38 % (5016)------------------------------
% 0.13/0.38 % (5011)Success in time 0.026 s
%------------------------------------------------------------------------------