%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWC037-1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% 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 : Sat Jun 21 05:29:59 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.45s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 39
% Syntax : Number of formulae : 93 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 468 ( 94 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 694 ( 343 ~; 299 |; 0 &)
% ( 52 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 24 ( 24 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 95 ( 86 !; 0 ?; 95 :)
% Comments :
%------------------------------------------------------------------------------
tff(neq_type,type,
neq: ( $i * $i ) > $o ).
tff(nil_type,type,
nil: $i ).
tff(sk5_type,type,
sk5: $i ).
tff(segmentP_type,type,
segmentP: ( $i * $i ) > $o ).
tff(ssList_type,type,
ssList: $i > $o ).
tff(sk3_type,type,
sk3: $i ).
tff(sk1_type,type,
sk1: $i ).
tff(sk4_type,type,
sk4: $i ).
tff(sk2_type,type,
sk2: $i ).
tff(1,plain,
( ( sk1 = sk3 )
<=> ( sk1 = sk3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
tff(3,plain,
sk1 = sk3,
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( ( nil = sk1 )
<=> ( nil = sk3 ) ),
inference(monotonicity,[status(thm)],[3]) ).
tff(5,plain,
( ( nil != sk1 )
<=> ( nil != sk3 ) ),
inference(monotonicity,[status(thm)],[4]) ).
tff(6,plain,
( ( nil != sk1 )
<=> ( nil != sk1 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,axiom,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
tff(8,plain,
nil != sk1,
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
nil != sk3,
inference(modus_ponens,[status(thm)],[8,5]) ).
tff(10,plain,
( ( ssList(sk5)
| ( nil = sk3 ) )
<=> ( ssList(sk5)
| ( nil = sk3 ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,axiom,
( ssList(sk5)
| ( nil = sk3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
tff(12,plain,
( ssList(sk5)
| ( nil = sk3 ) ),
inference(modus_ponens,[status(thm)],[11,10]) ).
tff(13,plain,
ssList(sk5),
inference(unit_resolution,[status(thm)],[12,9]) ).
tff(14,plain,
^ [U: $i] :
refl(( ( ~ ssList(U)
| segmentP(U,nil) )
<=> ( ~ ssList(U)
| segmentP(U,nil) ) )),
inference(bind,[status(th)],[]) ).
tff(15,plain,
( ! [U: $i] :
( ~ ssList(U)
| segmentP(U,nil) )
<=> ! [U: $i] :
( ~ ssList(U)
| segmentP(U,nil) ) ),
inference(quant_intro,[status(thm)],[14]) ).
tff(16,plain,
( ! [U: $i] :
( ~ ssList(U)
| segmentP(U,nil) )
<=> ! [U: $i] :
( ~ ssList(U)
| segmentP(U,nil) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(17,axiom,
! [U: $i] :
( ~ ssList(U)
| segmentP(U,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause56) ).
tff(18,plain,
! [U: $i] :
( ~ ssList(U)
| segmentP(U,nil) ),
inference(modus_ponens,[status(thm)],[17,16]) ).
tff(19,plain,
! [U: $i] :
( ~ ssList(U)
| segmentP(U,nil) ),
inference(skolemize,[status(sab)],[18]) ).
tff(20,plain,
! [U: $i] :
( ~ ssList(U)
| segmentP(U,nil) ),
inference(modus_ponens,[status(thm)],[19,15]) ).
tff(21,plain,
( ( ~ ! [U: $i] :
( ~ ssList(U)
| segmentP(U,nil) )
| ~ ssList(sk5)
| segmentP(sk5,nil) )
<=> ( ~ ! [U: $i] :
( ~ ssList(U)
| segmentP(U,nil) )
| ~ ssList(sk5)
| segmentP(sk5,nil) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(22,plain,
( ~ ! [U: $i] :
( ~ ssList(U)
| segmentP(U,nil) )
| ~ ssList(sk5)
| segmentP(sk5,nil) ),
inference(quant_inst,[status(thm)],[]) ).
tff(23,plain,
( ~ ! [U: $i] :
( ~ ssList(U)
| segmentP(U,nil) )
| ~ ssList(sk5)
| segmentP(sk5,nil) ),
inference(modus_ponens,[status(thm)],[22,21]) ).
tff(24,plain,
segmentP(sk5,nil),
inference(unit_resolution,[status(thm)],[23,20,13]) ).
tff(25,plain,
( ( sk2 = sk4 )
<=> ( sk2 = sk4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(26,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
tff(27,plain,
sk2 = sk4,
inference(modus_ponens,[status(thm)],[26,25]) ).
tff(28,plain,
( ( nil = sk2 )
<=> ( nil = sk2 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(29,axiom,
nil = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
tff(30,plain,
nil = sk2,
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
nil = sk4,
inference(transitivity,[status(thm)],[30,27]) ).
tff(32,plain,
( segmentP(nil,sk5)
<=> segmentP(sk4,sk5) ),
inference(monotonicity,[status(thm)],[31]) ).
tff(33,plain,
( segmentP(sk4,sk5)
<=> segmentP(nil,sk5) ),
inference(symmetry,[status(thm)],[32]) ).
tff(34,plain,
( ( ( nil = sk3 )
| segmentP(sk4,sk5) )
<=> ( ( nil = sk3 )
| segmentP(sk4,sk5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(35,plain,
( ( segmentP(sk4,sk5)
| ( nil = sk3 ) )
<=> ( ( nil = sk3 )
| segmentP(sk4,sk5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(36,axiom,
( segmentP(sk4,sk5)
| ( nil = sk3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
tff(37,plain,
( ( nil = sk3 )
| segmentP(sk4,sk5) ),
inference(modus_ponens,[status(thm)],[36,35]) ).
tff(38,plain,
( ( nil = sk3 )
| segmentP(sk4,sk5) ),
inference(modus_ponens,[status(thm)],[37,34]) ).
tff(39,plain,
segmentP(sk4,sk5),
inference(unit_resolution,[status(thm)],[38,9]) ).
tff(40,plain,
segmentP(nil,sk5),
inference(modus_ponens,[status(thm)],[39,33]) ).
tff(41,plain,
^ [V: $i,U: $i] :
refl(( ( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) )
<=> ( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) ) )),
inference(bind,[status(th)],[]) ).
tff(42,plain,
( ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) )
<=> ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) ) ),
inference(quant_intro,[status(thm)],[41]) ).
tff(43,plain,
( ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) )
<=> ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(44,plain,
^ [V: $i,U: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( ~ segmentP(U,V)
| ~ segmentP(V,U)
| ~ ssList(U) )
<=> ( ~ ssList(U)
| ~ segmentP(V,U)
| ~ segmentP(U,V) ) )),
( ( ~ segmentP(U,V)
| ~ segmentP(V,U)
| ~ ssList(U)
| ~ ssList(V) )
<=> ( ~ ssList(U)
| ~ segmentP(V,U)
| ~ segmentP(U,V)
| ~ ssList(V) ) )),
rewrite(( ( ~ ssList(U)
| ~ segmentP(V,U)
| ~ segmentP(U,V)
| ~ ssList(V) )
<=> ( ~ ssList(U)
| ~ ssList(V)
| ~ segmentP(V,U)
| ~ segmentP(U,V) ) )),
( ( ~ segmentP(U,V)
| ~ segmentP(V,U)
| ~ ssList(U)
| ~ ssList(V) )
<=> ( ~ ssList(U)
| ~ ssList(V)
| ~ segmentP(V,U)
| ~ segmentP(U,V) ) )),
( ( ~ segmentP(U,V)
| ~ segmentP(V,U)
| ~ ssList(U)
| ~ ssList(V)
| ( V = U ) )
<=> ( ~ ssList(U)
| ~ ssList(V)
| ~ segmentP(V,U)
| ~ segmentP(U,V)
| ( V = U ) ) )),
rewrite(( ( ~ ssList(U)
| ~ ssList(V)
| ~ segmentP(V,U)
| ~ segmentP(U,V)
| ( V = U ) )
<=> ( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) ) )),
( ( ~ segmentP(U,V)
| ~ segmentP(V,U)
| ~ ssList(U)
| ~ ssList(V)
| ( V = U ) )
<=> ( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) ) )),
inference(bind,[status(th)],[]) ).
tff(45,plain,
( ! [V: $i,U: $i] :
( ~ segmentP(U,V)
| ~ segmentP(V,U)
| ~ ssList(U)
| ~ ssList(V)
| ( V = U ) )
<=> ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) ) ),
inference(quant_intro,[status(thm)],[44]) ).
tff(46,axiom,
! [V: $i,U: $i] :
( ~ segmentP(U,V)
| ~ segmentP(V,U)
| ~ ssList(U)
| ~ ssList(V)
| ( V = U ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause127) ).
tff(47,plain,
! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) ),
inference(modus_ponens,[status(thm)],[46,45]) ).
tff(48,plain,
! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) ),
inference(modus_ponens,[status(thm)],[47,43]) ).
tff(49,plain,
! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) ),
inference(skolemize,[status(sab)],[48]) ).
tff(50,plain,
! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) ),
inference(modus_ponens,[status(thm)],[49,42]) ).
tff(51,plain,
( ssList(nil)
<=> ssList(nil) ),
inference(rewrite,[status(thm)],[]) ).
tff(52,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
tff(53,plain,
ssList(nil),
inference(modus_ponens,[status(thm)],[52,51]) ).
tff(54,plain,
( ( ~ ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) )
| ~ ssList(nil)
| ~ ssList(sk5)
| ~ segmentP(nil,sk5)
| ~ segmentP(sk5,nil)
| ( nil = sk5 ) )
<=> ( ~ ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) )
| ~ ssList(nil)
| ~ ssList(sk5)
| ~ segmentP(nil,sk5)
| ~ segmentP(sk5,nil)
| ( nil = sk5 ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(55,plain,
( ( ~ ssList(sk5)
| ~ ssList(nil)
| ( nil = sk5 )
| ~ segmentP(nil,sk5)
| ~ segmentP(sk5,nil) )
<=> ( ~ ssList(nil)
| ~ ssList(sk5)
| ~ segmentP(nil,sk5)
| ~ segmentP(sk5,nil)
| ( nil = sk5 ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(56,plain,
( ( ~ ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) )
| ~ ssList(sk5)
| ~ ssList(nil)
| ( nil = sk5 )
| ~ segmentP(nil,sk5)
| ~ segmentP(sk5,nil) )
<=> ( ~ ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) )
| ~ ssList(nil)
| ~ ssList(sk5)
| ~ segmentP(nil,sk5)
| ~ segmentP(sk5,nil)
| ( nil = sk5 ) ) ),
inference(monotonicity,[status(thm)],[55]) ).
tff(57,plain,
( ( ~ ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) )
| ~ ssList(sk5)
| ~ ssList(nil)
| ( nil = sk5 )
| ~ segmentP(nil,sk5)
| ~ segmentP(sk5,nil) )
<=> ( ~ ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) )
| ~ ssList(nil)
| ~ ssList(sk5)
| ~ segmentP(nil,sk5)
| ~ segmentP(sk5,nil)
| ( nil = sk5 ) ) ),
inference(transitivity,[status(thm)],[56,54]) ).
tff(58,plain,
( ~ ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) )
| ~ ssList(sk5)
| ~ ssList(nil)
| ( nil = sk5 )
| ~ segmentP(nil,sk5)
| ~ segmentP(sk5,nil) ),
inference(quant_inst,[status(thm)],[]) ).
tff(59,plain,
( ~ ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( V = U )
| ~ segmentP(V,U)
| ~ segmentP(U,V) )
| ~ ssList(nil)
| ~ ssList(sk5)
| ~ segmentP(nil,sk5)
| ~ segmentP(sk5,nil)
| ( nil = sk5 ) ),
inference(modus_ponens,[status(thm)],[58,57]) ).
tff(60,plain,
nil = sk5,
inference(unit_resolution,[status(thm)],[59,53,50,13,40,24]) ).
tff(61,plain,
sk5 = nil,
inference(symmetry,[status(thm)],[60]) ).
tff(62,plain,
( neq(sk5,nil)
<=> neq(nil,nil) ),
inference(monotonicity,[status(thm)],[61]) ).
tff(63,plain,
( neq(nil,nil)
<=> neq(sk5,nil) ),
inference(symmetry,[status(thm)],[62]) ).
tff(64,plain,
( ~ neq(nil,nil)
<=> ~ neq(sk5,nil) ),
inference(monotonicity,[status(thm)],[63]) ).
tff(65,plain,
^ [V: $i] :
refl(( ( ~ ssList(V)
| ~ neq(V,V) )
<=> ( ~ ssList(V)
| ~ neq(V,V) ) )),
inference(bind,[status(th)],[]) ).
tff(66,plain,
( ! [V: $i] :
( ~ ssList(V)
| ~ neq(V,V) )
<=> ! [V: $i] :
( ~ ssList(V)
| ~ neq(V,V) ) ),
inference(quant_intro,[status(thm)],[65]) ).
tff(67,plain,
( ! [V: $i] :
( ~ ssList(V)
| ~ neq(V,V) )
<=> ! [V: $i] :
( ~ ssList(V)
| ~ neq(V,V) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(68,plain,
^ [V: $i] :
rewrite(( ( ~ neq(V,V)
| ~ ssList(V)
| ~ ssList(V) )
<=> ( ~ ssList(V)
| ~ neq(V,V) ) )),
inference(bind,[status(th)],[]) ).
tff(69,plain,
( ! [V: $i] :
( ~ neq(V,V)
| ~ ssList(V)
| ~ ssList(V) )
<=> ! [V: $i] :
( ~ ssList(V)
| ~ neq(V,V) ) ),
inference(quant_intro,[status(thm)],[68]) ).
tff(70,plain,
( ! [V: $i,U: $i] :
( ~ neq(V,V)
| ~ ssList(V)
| ~ ssList(V) )
<=> ! [V: $i] :
( ~ neq(V,V)
| ~ ssList(V)
| ~ ssList(V) ) ),
inference(elim_unused_vars,[status(thm)],[]) ).
tff(71,plain,
( ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( U != V )
| ~ neq(U,V) )
<=> ! [V: $i,U: $i] :
( ~ neq(V,V)
| ~ ssList(V)
| ~ ssList(V) ) ),
inference(destructive_equality_resolution,[status(thm)],[]) ).
tff(72,plain,
( ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( U != V )
| ~ neq(U,V) )
<=> ! [V: $i] :
( ~ neq(V,V)
| ~ ssList(V)
| ~ ssList(V) ) ),
inference(transitivity,[status(thm)],[71,70]) ).
tff(73,plain,
( ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( U != V )
| ~ neq(U,V) )
<=> ! [V: $i] :
( ~ ssList(V)
| ~ neq(V,V) ) ),
inference(transitivity,[status(thm)],[72,69]) ).
tff(74,plain,
^ [V: $i,U: $i] :
trans(monotonicity(rewrite(( ( ( U != V )
| ~ neq(U,V)
| ~ ssList(V) )
<=> ( ~ ssList(V)
| ( U != V )
| ~ neq(U,V) ) )),
( ( ( U != V )
| ~ neq(U,V)
| ~ ssList(V)
| ~ ssList(U) )
<=> ( ~ ssList(V)
| ( U != V )
| ~ neq(U,V)
| ~ ssList(U) ) )),
rewrite(( ( ~ ssList(V)
| ( U != V )
| ~ neq(U,V)
| ~ ssList(U) )
<=> ( ~ ssList(U)
| ~ ssList(V)
| ( U != V )
| ~ neq(U,V) ) )),
( ( ( U != V )
| ~ neq(U,V)
| ~ ssList(V)
| ~ ssList(U) )
<=> ( ~ ssList(U)
| ~ ssList(V)
| ( U != V )
| ~ neq(U,V) ) )),
inference(bind,[status(th)],[]) ).
tff(75,plain,
( ! [V: $i,U: $i] :
( ( U != V )
| ~ neq(U,V)
| ~ ssList(V)
| ~ ssList(U) )
<=> ! [V: $i,U: $i] :
( ~ ssList(U)
| ~ ssList(V)
| ( U != V )
| ~ neq(U,V) ) ),
inference(quant_intro,[status(thm)],[74]) ).
tff(76,plain,
( ! [V: $i,U: $i] :
( ( U != V )
| ~ neq(U,V)
| ~ ssList(V)
| ~ ssList(U) )
<=> ! [V: $i] :
( ~ ssList(V)
| ~ neq(V,V) ) ),
inference(transitivity,[status(thm)],[75,73]) ).
tff(77,axiom,
! [V: $i,U: $i] :
( ( U != V )
| ~ neq(U,V)
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).
tff(78,plain,
! [V: $i] :
( ~ ssList(V)
| ~ neq(V,V) ),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
! [V: $i] :
( ~ ssList(V)
| ~ neq(V,V) ),
inference(modus_ponens,[status(thm)],[78,67]) ).
tff(80,plain,
! [V: $i] :
( ~ ssList(V)
| ~ neq(V,V) ),
inference(skolemize,[status(sab)],[79]) ).
tff(81,plain,
! [V: $i] :
( ~ ssList(V)
| ~ neq(V,V) ),
inference(modus_ponens,[status(thm)],[80,66]) ).
tff(82,plain,
( ( ~ ! [V: $i] :
( ~ ssList(V)
| ~ neq(V,V) )
| ~ ssList(nil)
| ~ neq(nil,nil) )
<=> ( ~ ! [V: $i] :
( ~ ssList(V)
| ~ neq(V,V) )
| ~ ssList(nil)
| ~ neq(nil,nil) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(83,plain,
( ~ ! [V: $i] :
( ~ ssList(V)
| ~ neq(V,V) )
| ~ ssList(nil)
| ~ neq(nil,nil) ),
inference(quant_inst,[status(thm)],[]) ).
tff(84,plain,
( ~ ! [V: $i] :
( ~ ssList(V)
| ~ neq(V,V) )
| ~ ssList(nil)
| ~ neq(nil,nil) ),
inference(modus_ponens,[status(thm)],[83,82]) ).
tff(85,plain,
~ neq(nil,nil),
inference(unit_resolution,[status(thm)],[84,53,81]) ).
tff(86,plain,
~ neq(sk5,nil),
inference(modus_ponens,[status(thm)],[85,64]) ).
tff(87,plain,
( ( ( nil = sk3 )
| neq(sk5,nil) )
<=> ( ( nil = sk3 )
| neq(sk5,nil) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(88,plain,
( ( neq(sk5,nil)
| ( nil = sk3 ) )
<=> ( ( nil = sk3 )
| neq(sk5,nil) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(89,axiom,
( neq(sk5,nil)
| ( nil = sk3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
tff(90,plain,
( ( nil = sk3 )
| neq(sk5,nil) ),
inference(modus_ponens,[status(thm)],[89,88]) ).
tff(91,plain,
( ( nil = sk3 )
| neq(sk5,nil) ),
inference(modus_ponens,[status(thm)],[90,87]) ).
tff(92,plain,
neq(sk5,nil),
inference(unit_resolution,[status(thm)],[91,9]) ).
tff(93,plain,
$false,
inference(unit_resolution,[status(thm)],[92,86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC037-1 : TPTP v9.0.0. Released v2.4.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 08:05:33 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.20/0.45 % SZS status Unsatisfiable
% 0.20/0.45 % SZS output start Proof
% See solution above
% 0.20/0.47 % E exiting
%------------------------------------------------------------------------------