TSTP Solution File: SYO334^5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO334^5 : TPTP v8.2.0. 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 : Tue May 21 09:10:56 EDT 2024
% Result : Theorem 0.24s 0.41s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 29
% Syntax : Number of formulae : 58 ( 17 unt; 24 typ; 0 def)
% Number of atoms : 707 ( 106 equ; 0 cnn)
% Maximal formula atoms : 20 ( 20 avg)
% Number of connectives : 146 ( 43 ~; 32 |; 44 &; 0 @)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 109 ( 108 >; 1 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 4 con; 0-6 aty)
% Number of variables : 203 ( 0 ^ 157 !; 40 ?; 203 :)
% ( 6 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
c: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
b: $tType ).
thf(type_def_8,type,
a: $tType ).
thf(func_def_0,type,
c: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_2,type,
a: $tType ).
thf(func_def_3,type,
c_starc: c > c > c ).
thf(func_def_4,type,
c_starb: b > b > b ).
thf(func_def_5,type,
c_stara: a > a > a ).
thf(func_def_9,type,
sK0: a > b ).
thf(func_def_10,type,
sK1: a > c ).
thf(func_def_11,type,
sK2: b > c ).
thf(func_def_12,type,
sK3: b ).
thf(func_def_13,type,
sK4: b ).
thf(func_def_14,type,
sK5: c > $o ).
thf(func_def_15,type,
sK6: b > a ).
thf(func_def_16,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_17,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_18,type,
vAND: $o > $o > $o ).
thf(func_def_19,type,
vOR: $o > $o > $o ).
thf(func_def_20,type,
vIMP: $o > $o > $o ).
thf(func_def_21,type,
vNOT: $o > $o ).
thf(func_def_22,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f178,plain,
$false,
inference(trivial_inequality_removal,[],[f175]) ).
thf(f175,plain,
$true = $false,
inference(backward_demodulation,[],[f18,f170]) ).
thf(f170,plain,
$false = vAPP(c,$o,sK5,vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,sK3),sK4))),
inference(backward_demodulation,[],[f62,f165]) ).
thf(f165,plain,
! [X0: b,X1: b] : ( vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X1),X0)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,X1)),vAPP(b,c,sK2,X0)) ),
inference(forward_demodulation,[],[f160,f77]) ).
thf(f77,plain,
! [X0: b] : ( vAPP(b,c,sK2,X0) = vAPP(a,c,sK1,vAPP(b,a,sK6,X0)) ),
inference(superposition,[],[f66,f48]) ).
thf(f48,plain,
! [X0: b] : ( vAPP(a,b,sK0,vAPP(b,a,sK6,X0)) = X0 ),
inference(leibniz_equality_elimination,[],[f15]) ).
thf(f15,plain,
! [X14: b > $o,X12: b] :
( ( $true != vAPP(b,$o,X14,vAPP(a,b,sK0,vAPP(b,a,sK6,X12))) )
| ( $true = vAPP(b,$o,X14,X12) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( ( $true != vAPP(c,$o,sK5,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,sK3)),vAPP(b,c,sK2,sK4))) )
& ( $true = vAPP(c,$o,sK5,vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,sK3),sK4))) )
& ! [X6: a,X7: a,X8: c > $o] :
( ( $true = vAPP(c,$o,X8,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,sK1,X6)),vAPP(a,c,sK1,X7))) )
| ( $true != vAPP(c,$o,X8,vAPP(a,c,sK1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X6),X7))) ) )
& ! [X9: a,X10: a,X11: b > $o] :
( ( $true = vAPP(b,$o,X11,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,sK0,X9)),vAPP(a,b,sK0,X10))) )
| ( $true != vAPP(b,$o,X11,vAPP(a,b,sK0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X9),X10))) ) )
& ! [X12: b,X14: b > $o] :
( ( $true = vAPP(b,$o,X14,X12) )
| ( $true != vAPP(b,$o,X14,vAPP(a,b,sK0,vAPP(b,a,sK6,X12))) ) )
& ! [X15: a,X16: c > $o] :
( ( $true = vAPP(c,$o,X16,vAPP(a,c,sK1,X15)) )
| ( $true != vAPP(c,$o,X16,vAPP(b,c,sK2,vAPP(a,b,sK0,X15))) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f9,f12,f11,f10]) ).
thf(f10,plain,
( ? [X0: a > b,X1: a > c,X2: b > c] :
( ? [X3: b,X4: b,X5: c > $o] :
( ( $true != vAPP(c,$o,X5,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,X2,X3)),vAPP(b,c,X2,X4))) )
& ( $true = vAPP(c,$o,X5,vAPP(b,c,X2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X3),X4))) ) )
& ! [X6: a,X7: a,X8: c > $o] :
( ( $true = vAPP(c,$o,X8,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,X1,X6)),vAPP(a,c,X1,X7))) )
| ( $true != vAPP(c,$o,X8,vAPP(a,c,X1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X6),X7))) ) )
& ! [X9: a,X10: a,X11: b > $o] :
( ( $true = vAPP(b,$o,X11,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,X0,X9)),vAPP(a,b,X0,X10))) )
| ( $true != vAPP(b,$o,X11,vAPP(a,b,X0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X9),X10))) ) )
& ! [X12: b] :
? [X13: a] :
! [X14: b > $o] :
( ( $true = vAPP(b,$o,X14,X12) )
| ( $true != vAPP(b,$o,X14,vAPP(a,b,X0,X13)) ) )
& ! [X15: a,X16: c > $o] :
( ( $true = vAPP(c,$o,X16,vAPP(a,c,X1,X15)) )
| ( $true != vAPP(c,$o,X16,vAPP(b,c,X2,vAPP(a,b,X0,X15))) ) ) )
=> ( ? [X5: c > $o,X4: b,X3: b] :
( ( $true != vAPP(c,$o,X5,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,X3)),vAPP(b,c,sK2,X4))) )
& ( $true = vAPP(c,$o,X5,vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X3),X4))) ) )
& ! [X8: c > $o,X7: a,X6: a] :
( ( $true = vAPP(c,$o,X8,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,sK1,X6)),vAPP(a,c,sK1,X7))) )
| ( $true != vAPP(c,$o,X8,vAPP(a,c,sK1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X6),X7))) ) )
& ! [X11: b > $o,X10: a,X9: a] :
( ( $true = vAPP(b,$o,X11,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,sK0,X9)),vAPP(a,b,sK0,X10))) )
| ( $true != vAPP(b,$o,X11,vAPP(a,b,sK0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X9),X10))) ) )
& ! [X12: b] :
? [X13: a] :
! [X14: b > $o] :
( ( $true = vAPP(b,$o,X14,X12) )
| ( $true != vAPP(b,$o,X14,vAPP(a,b,sK0,X13)) ) )
& ! [X16: c > $o,X15: a] :
( ( $true = vAPP(c,$o,X16,vAPP(a,c,sK1,X15)) )
| ( $true != vAPP(c,$o,X16,vAPP(b,c,sK2,vAPP(a,b,sK0,X15))) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
( ? [X5: c > $o,X4: b,X3: b] :
( ( $true != vAPP(c,$o,X5,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,X3)),vAPP(b,c,sK2,X4))) )
& ( $true = vAPP(c,$o,X5,vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X3),X4))) ) )
=> ( ( $true != vAPP(c,$o,sK5,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,sK3)),vAPP(b,c,sK2,sK4))) )
& ( $true = vAPP(c,$o,sK5,vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,sK3),sK4))) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X12: b] :
( ? [X13: a] :
! [X14: b > $o] :
( ( $true = vAPP(b,$o,X14,X12) )
| ( $true != vAPP(b,$o,X14,vAPP(a,b,sK0,X13)) ) )
=> ! [X14: b > $o] :
( ( $true = vAPP(b,$o,X14,X12) )
| ( $true != vAPP(b,$o,X14,vAPP(a,b,sK0,vAPP(b,a,sK6,X12))) ) ) ),
introduced(choice_axiom,[]) ).
thf(f9,plain,
? [X0: a > b,X1: a > c,X2: b > c] :
( ? [X3: b,X4: b,X5: c > $o] :
( ( $true != vAPP(c,$o,X5,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,X2,X3)),vAPP(b,c,X2,X4))) )
& ( $true = vAPP(c,$o,X5,vAPP(b,c,X2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X3),X4))) ) )
& ! [X6: a,X7: a,X8: c > $o] :
( ( $true = vAPP(c,$o,X8,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,X1,X6)),vAPP(a,c,X1,X7))) )
| ( $true != vAPP(c,$o,X8,vAPP(a,c,X1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X6),X7))) ) )
& ! [X9: a,X10: a,X11: b > $o] :
( ( $true = vAPP(b,$o,X11,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,X0,X9)),vAPP(a,b,X0,X10))) )
| ( $true != vAPP(b,$o,X11,vAPP(a,b,X0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X9),X10))) ) )
& ! [X12: b] :
? [X13: a] :
! [X14: b > $o] :
( ( $true = vAPP(b,$o,X14,X12) )
| ( $true != vAPP(b,$o,X14,vAPP(a,b,X0,X13)) ) )
& ! [X15: a,X16: c > $o] :
( ( $true = vAPP(c,$o,X16,vAPP(a,c,X1,X15)) )
| ( $true != vAPP(c,$o,X16,vAPP(b,c,X2,vAPP(a,b,X0,X15))) ) ) ),
inference(rectify,[],[f8]) ).
thf(f8,plain,
? [X0: a > b,X1: a > c,X2: b > c] :
( ? [X14: b,X15: b,X16: c > $o] :
( ( $true != vAPP(c,$o,X16,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,X2,X14)),vAPP(b,c,X2,X15))) )
& ( $true = vAPP(c,$o,X16,vAPP(b,c,X2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X14),X15))) ) )
& ! [X3: a,X4: a,X5: c > $o] :
( ( $true = vAPP(c,$o,X5,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,X1,X3)),vAPP(a,c,X1,X4))) )
| ( $true != vAPP(c,$o,X5,vAPP(a,c,X1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X3),X4))) ) )
& ! [X6: a,X7: a,X8: b > $o] :
( ( $true = vAPP(b,$o,X8,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,X0,X6)),vAPP(a,b,X0,X7))) )
| ( $true != vAPP(b,$o,X8,vAPP(a,b,X0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X6),X7))) ) )
& ! [X9: b] :
? [X10: a] :
! [X11: b > $o] :
( ( $true = vAPP(b,$o,X11,X9) )
| ( $true != vAPP(b,$o,X11,vAPP(a,b,X0,X10)) ) )
& ! [X12: a,X13: c > $o] :
( ( $true = vAPP(c,$o,X13,vAPP(a,c,X1,X12)) )
| ( $true != vAPP(c,$o,X13,vAPP(b,c,X2,vAPP(a,b,X0,X12))) ) ) ),
inference(flattening,[],[f7]) ).
thf(f7,plain,
? [X0: a > b,X1: a > c,X2: b > c] :
( ? [X14: b,X15: b,X16: c > $o] :
( ( $true != vAPP(c,$o,X16,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,X2,X14)),vAPP(b,c,X2,X15))) )
& ( $true = vAPP(c,$o,X16,vAPP(b,c,X2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X14),X15))) ) )
& ! [X3: a,X4: a,X5: c > $o] :
( ( $true = vAPP(c,$o,X5,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,X1,X3)),vAPP(a,c,X1,X4))) )
| ( $true != vAPP(c,$o,X5,vAPP(a,c,X1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X3),X4))) ) )
& ! [X6: a,X7: a,X8: b > $o] :
( ( $true = vAPP(b,$o,X8,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,X0,X6)),vAPP(a,b,X0,X7))) )
| ( $true != vAPP(b,$o,X8,vAPP(a,b,X0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X6),X7))) ) )
& ! [X9: b] :
? [X10: a] :
! [X11: b > $o] :
( ( $true = vAPP(b,$o,X11,X9) )
| ( $true != vAPP(b,$o,X11,vAPP(a,b,X0,X10)) ) )
& ! [X12: a,X13: c > $o] :
( ( $true = vAPP(c,$o,X13,vAPP(a,c,X1,X12)) )
| ( $true != vAPP(c,$o,X13,vAPP(b,c,X2,vAPP(a,b,X0,X12))) ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: a > b,X1: a > c,X2: b > c] :
( ( ! [X3: a,X4: a,X5: c > $o] :
( ( $true = vAPP(c,$o,X5,vAPP(a,c,X1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X3),X4))) )
=> ( $true = vAPP(c,$o,X5,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,X1,X3)),vAPP(a,c,X1,X4))) ) )
& ! [X6: a,X7: a,X8: b > $o] :
( ( $true = vAPP(b,$o,X8,vAPP(a,b,X0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X6),X7))) )
=> ( $true = vAPP(b,$o,X8,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,X0,X6)),vAPP(a,b,X0,X7))) ) )
& ! [X9: b] :
? [X10: a] :
! [X11: b > $o] :
( ( $true = vAPP(b,$o,X11,vAPP(a,b,X0,X10)) )
=> ( $true = vAPP(b,$o,X11,X9) ) )
& ! [X12: a,X13: c > $o] :
( ( $true = vAPP(c,$o,X13,vAPP(b,c,X2,vAPP(a,b,X0,X12))) )
=> ( $true = vAPP(c,$o,X13,vAPP(a,c,X1,X12)) ) ) )
=> ! [X14: b,X15: b,X16: c > $o] :
( ( $true = vAPP(c,$o,X16,vAPP(b,c,X2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X14),X15))) )
=> ( $true = vAPP(c,$o,X16,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,X2,X14)),vAPP(b,c,X2,X15))) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: a > b,X1: a > c,X2: b > c] :
( ( ! [X3: a,X4: a,X5: c > $o] :
( vAPP(c,$o,X5,vAPP(a,c,X1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X3),X4)))
=> vAPP(c,$o,X5,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,X1,X3)),vAPP(a,c,X1,X4))) )
& ! [X6: a,X7: a,X8: b > $o] :
( vAPP(b,$o,X8,vAPP(a,b,X0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X6),X7)))
=> vAPP(b,$o,X8,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,X0,X6)),vAPP(a,b,X0,X7))) )
& ! [X9: b] :
? [X10: a] :
! [X11: b > $o] :
( vAPP(b,$o,X11,vAPP(a,b,X0,X10))
=> vAPP(b,$o,X11,X9) )
& ! [X12: a,X13: c > $o] :
( vAPP(c,$o,X13,vAPP(b,c,X2,vAPP(a,b,X0,X12)))
=> vAPP(c,$o,X13,vAPP(a,c,X1,X12)) ) )
=> ! [X14: b,X15: b,X16: c > $o] :
( vAPP(c,$o,X16,vAPP(b,c,X2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X14),X15)))
=> vAPP(c,$o,X16,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,X2,X14)),vAPP(b,c,X2,X15))) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > b,X1: a > c,X2: b > c] :
( ( ! [X3: a,X5: a,X4: c > $o] :
( vAPP(c,$o,X4,vAPP(a,c,X1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X3),X5)))
=> vAPP(c,$o,X4,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,X1,X3)),vAPP(a,c,X1,X5))) )
& ! [X3: a,X5: a,X4: b > $o] :
( vAPP(b,$o,X4,vAPP(a,b,X0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X3),X5)))
=> vAPP(b,$o,X4,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,X0,X3)),vAPP(a,b,X0,X5))) )
& ! [X5: b] :
? [X3: a] :
! [X4: b > $o] :
( vAPP(b,$o,X4,vAPP(a,b,X0,X3))
=> vAPP(b,$o,X4,X5) )
& ! [X3: a,X4: c > $o] :
( vAPP(c,$o,X4,vAPP(b,c,X2,vAPP(a,b,X0,X3)))
=> vAPP(c,$o,X4,vAPP(a,c,X1,X3)) ) )
=> ! [X3: b,X5: b,X4: c > $o] :
( vAPP(c,$o,X4,vAPP(b,c,X2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X3),X5)))
=> vAPP(c,$o,X4,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,X2,X3)),vAPP(b,c,X2,X5))) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
! [X0: a > b,X1: a > c,X2: b > c] :
( ( ! [X3: a,X5: a,X4: c > $o] :
( vAPP(c,$o,X4,vAPP(a,c,X1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X3),X5)))
=> vAPP(c,$o,X4,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,X1,X3)),vAPP(a,c,X1,X5))) )
& ! [X3: a,X5: a,X4: b > $o] :
( vAPP(b,$o,X4,vAPP(a,b,X0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X3),X5)))
=> vAPP(b,$o,X4,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,X0,X3)),vAPP(a,b,X0,X5))) )
& ! [X5: b] :
? [X3: a] :
! [X4: b > $o] :
( vAPP(b,$o,X4,vAPP(a,b,X0,X3))
=> vAPP(b,$o,X4,X5) )
& ! [X3: a,X4: c > $o] :
( vAPP(c,$o,X4,vAPP(b,c,X2,vAPP(a,b,X0,X3)))
=> vAPP(c,$o,X4,vAPP(a,c,X1,X3)) ) )
=> ! [X3: b,X5: b,X4: c > $o] :
( vAPP(c,$o,X4,vAPP(b,c,X2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X3),X5)))
=> vAPP(c,$o,X4,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,X2,X3)),vAPP(b,c,X2,X5))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM270_INST) ).
thf(f66,plain,
! [X0: a] : ( vAPP(b,c,sK2,vAPP(a,b,sK0,X0)) = vAPP(a,c,sK1,X0) ),
inference(leibniz_equality_elimination,[],[f14]) ).
thf(f14,plain,
! [X16: c > $o,X15: a] :
( ( $true != vAPP(c,$o,X16,vAPP(b,c,sK2,vAPP(a,b,sK0,X15))) )
| ( $true = vAPP(c,$o,X16,vAPP(a,c,sK1,X15)) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f160,plain,
! [X0: b,X1: b] : ( vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,X1)),vAPP(a,c,sK1,vAPP(b,a,sK6,X0))) = vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X1),X0)) ),
inference(superposition,[],[f158,f48]) ).
thf(f158,plain,
! [X0: b,X1: a] : ( vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,X0)),vAPP(a,c,sK1,X1)) = vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X0),vAPP(a,b,sK0,X1))) ),
inference(forward_demodulation,[],[f124,f114]) ).
thf(f114,plain,
! [X0: b,X1: a] : ( vAPP(a,c,sK1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,vAPP(b,a,sK6,X0)),X1)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,X0)),vAPP(a,c,sK1,X1)) ),
inference(superposition,[],[f104,f77]) ).
thf(f104,plain,
! [X0: a,X1: a] : ( vAPP(a,c,sK1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X0),X1)) = vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,sK1,X0)),vAPP(a,c,sK1,X1)) ),
inference(leibniz_equality_elimination,[],[f17]) ).
thf(f17,plain,
! [X8: c > $o,X6: a,X7: a] :
( ( $true != vAPP(c,$o,X8,vAPP(a,c,sK1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X6),X7))) )
| ( $true = vAPP(c,$o,X8,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(a,c,sK1,X6)),vAPP(a,c,sK1,X7))) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f124,plain,
! [X0: b,X1: a] : ( vAPP(a,c,sK1,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,vAPP(b,a,sK6,X0)),X1)) = vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X0),vAPP(a,b,sK0,X1))) ),
inference(superposition,[],[f66,f102]) ).
thf(f102,plain,
! [X0: b,X1: a] : ( vAPP(a,b,sK0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,vAPP(b,a,sK6,X0)),X1)) = vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,X0),vAPP(a,b,sK0,X1)) ),
inference(superposition,[],[f92,f48]) ).
thf(f92,plain,
! [X0: a,X1: a] : ( vAPP(a,b,sK0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X0),X1)) = vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,sK0,X0)),vAPP(a,b,sK0,X1)) ),
inference(leibniz_equality_elimination,[],[f16]) ).
thf(f16,plain,
! [X10: a,X11: b > $o,X9: a] :
( ( $true != vAPP(b,$o,X11,vAPP(a,b,sK0,vAPP(a,a,vAPP(a,sTfun(a,a),c_stara,X9),X10))) )
| ( $true = vAPP(b,$o,X11,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,vAPP(a,b,sK0,X9)),vAPP(a,b,sK0,X10))) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f62,plain,
$false = vAPP(c,$o,sK5,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,sK3)),vAPP(b,c,sK2,sK4))),
inference(trivial_inequality_removal,[],[f61]) ).
thf(f61,plain,
( ( $true != $true )
| ( $false = vAPP(c,$o,sK5,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,sK3)),vAPP(b,c,sK2,sK4))) ) ),
inference(superposition,[],[f19,f4]) ).
thf(f4,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f19,plain,
$true != vAPP(c,$o,sK5,vAPP(c,c,vAPP(c,sTfun(c,c),c_starc,vAPP(b,c,sK2,sK3)),vAPP(b,c,sK2,sK4))),
inference(cnf_transformation,[],[f13]) ).
thf(f18,plain,
$true = vAPP(c,$o,sK5,vAPP(b,c,sK2,vAPP(b,b,vAPP(b,sTfun(b,b),c_starb,sK3),sK4))),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO334^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n008.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon May 20 08:31:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.38 % (2618)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (2619)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 % (2620)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (2622)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39 % (2621)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.39 % (2624)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39 % (2623)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39 % (2625)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 % (2622)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.39 % (2621)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.15/0.39 % Exception at run slice level% Exception at run slice level
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructsUser error:
% 0.15/0.39 Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.39 % Exception at run slice level
% 0.15/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.24/0.40 % (2623)First to succeed.
% 0.24/0.41 % (2624)Also succeeded, but the first one will report.
% 0.24/0.41 % (2623)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2618"
% 0.24/0.41 % (2623)Refutation found. Thanks to Tanya!
% 0.24/0.41 % SZS status Theorem for theBenchmark
% 0.24/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.41 % (2623)------------------------------
% 0.24/0.41 % (2623)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.24/0.41 % (2623)Termination reason: Refutation
% 0.24/0.41
% 0.24/0.41 % (2623)Memory used [KB]: 896
% 0.24/0.41 % (2623)Time elapsed: 0.015 s
% 0.24/0.41 % (2623)Instructions burned: 26 (million)
% 0.24/0.41 % (2618)Success in time 0.025 s
%------------------------------------------------------------------------------