%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWC333-1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 05:30:55 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.46s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 32
% Syntax : Number of formulae : 89 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 396 ( 10 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 577 ( 284 ~; 248 |; 0 &)
% ( 45 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 14 ( 14 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 17 ( 15 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
tff(neq_type,type,
neq: ( $i * $i ) > $o ).
tff(sk5_type,type,
sk5: $i ).
tff(sk3_type,type,
sk3: $i ).
tff(sk1_type,type,
sk1: $i ).
tff(totalorderedP_type,type,
totalorderedP: $i > $o ).
tff(segmentP_type,type,
segmentP: ( $i * $i ) > $o ).
tff(sk2_type,type,
sk2: $i ).
tff(sk4_type,type,
sk4: $i ).
tff(ssList_type,type,
ssList: $i > $o ).
tff(1,plain,
( ( sk1 = sk3 )
<=> ( sk1 = sk3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
tff(3,plain,
sk1 = sk3,
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
sk3 = sk1,
inference(symmetry,[status(thm)],[3]) ).
tff(5,plain,
( neq(sk3,sk5)
<=> neq(sk1,sk5) ),
inference(monotonicity,[status(thm)],[4]) ).
tff(6,plain,
( neq(sk1,sk5)
<=> neq(sk3,sk5) ),
inference(symmetry,[status(thm)],[5]) ).
tff(7,plain,
( totalorderedP(sk1)
<=> totalorderedP(sk3) ),
inference(monotonicity,[status(thm)],[3]) ).
tff(8,plain,
( totalorderedP(sk3)
<=> totalorderedP(sk1) ),
inference(symmetry,[status(thm)],[7]) ).
tff(9,plain,
( totalorderedP(sk3)
<=> totalorderedP(sk3) ),
inference(rewrite,[status(thm)],[]) ).
tff(10,axiom,
totalorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
tff(11,plain,
totalorderedP(sk3),
inference(modus_ponens,[status(thm)],[10,9]) ).
tff(12,plain,
totalorderedP(sk1),
inference(modus_ponens,[status(thm)],[11,8]) ).
tff(13,plain,
( ( sk2 = sk4 )
<=> ( sk2 = sk4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
tff(15,plain,
sk2 = sk4,
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( segmentP(sk2,sk1)
<=> segmentP(sk4,sk3) ),
inference(monotonicity,[status(thm)],[15,3]) ).
tff(17,plain,
( segmentP(sk4,sk3)
<=> segmentP(sk2,sk1) ),
inference(symmetry,[status(thm)],[16]) ).
tff(18,plain,
( segmentP(sk4,sk3)
<=> segmentP(sk4,sk3) ),
inference(rewrite,[status(thm)],[]) ).
tff(19,axiom,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
tff(20,plain,
segmentP(sk4,sk3),
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
segmentP(sk2,sk1),
inference(modus_ponens,[status(thm)],[20,17]) ).
tff(22,plain,
( ( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) )
<=> ( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(23,plain,
( ( ~ segmentP(sk2,sk1)
| neq(sk1,sk5)
| ~ totalorderedP(sk1) )
<=> ( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(24,plain,
( ( neq(sk1,sk5)
| ~ segmentP(sk2,sk1) )
<=> ( ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(25,plain,
( ( neq(sk1,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) )
<=> ( ~ segmentP(sk2,sk1)
| neq(sk1,sk5)
| ~ totalorderedP(sk1) ) ),
inference(monotonicity,[status(thm)],[24]) ).
tff(26,plain,
( ( neq(sk1,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) )
<=> ( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ) ),
inference(transitivity,[status(thm)],[25,23]) ).
tff(27,axiom,
( neq(sk1,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
tff(28,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| neq(sk1,sk5) ),
inference(modus_ponens,[status(thm)],[28,22]) ).
tff(30,plain,
neq(sk1,sk5),
inference(unit_resolution,[status(thm)],[29,21,12]) ).
tff(31,plain,
neq(sk3,sk5),
inference(modus_ponens,[status(thm)],[30,6]) ).
tff(32,plain,
( segmentP(sk5,sk3)
<=> segmentP(sk5,sk1) ),
inference(monotonicity,[status(thm)],[4]) ).
tff(33,plain,
( segmentP(sk5,sk1)
<=> segmentP(sk5,sk3) ),
inference(symmetry,[status(thm)],[32]) ).
tff(34,plain,
( ( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) )
<=> ( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(35,plain,
( ( ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1)
| ~ totalorderedP(sk1) )
<=> ( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(36,plain,
( ( segmentP(sk5,sk1)
| ~ segmentP(sk2,sk1) )
<=> ( ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(37,plain,
( ( segmentP(sk5,sk1)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) )
<=> ( ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1)
| ~ totalorderedP(sk1) ) ),
inference(monotonicity,[status(thm)],[36]) ).
tff(38,plain,
( ( segmentP(sk5,sk1)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) )
<=> ( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ) ),
inference(transitivity,[status(thm)],[37,35]) ).
tff(39,axiom,
( segmentP(sk5,sk1)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
tff(40,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ),
inference(modus_ponens,[status(thm)],[39,38]) ).
tff(41,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| segmentP(sk5,sk1) ),
inference(modus_ponens,[status(thm)],[40,34]) ).
tff(42,plain,
segmentP(sk5,sk1),
inference(unit_resolution,[status(thm)],[41,21,12]) ).
tff(43,plain,
segmentP(sk5,sk3),
inference(modus_ponens,[status(thm)],[42,33]) ).
tff(44,plain,
sk4 = sk2,
inference(symmetry,[status(thm)],[15]) ).
tff(45,plain,
( segmentP(sk4,sk5)
<=> segmentP(sk2,sk5) ),
inference(monotonicity,[status(thm)],[44]) ).
tff(46,plain,
( segmentP(sk2,sk5)
<=> segmentP(sk4,sk5) ),
inference(symmetry,[status(thm)],[45]) ).
tff(47,plain,
( ( segmentP(sk2,sk5)
| ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) )
<=> ( segmentP(sk2,sk5)
| ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(48,plain,
( ( segmentP(sk2,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) )
<=> ( segmentP(sk2,sk5)
| ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(49,plain,
( ( segmentP(sk2,sk5)
| ~ segmentP(sk2,sk1) )
<=> ( segmentP(sk2,sk5)
| ~ segmentP(sk2,sk1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(50,plain,
( ( segmentP(sk2,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) )
<=> ( segmentP(sk2,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ) ),
inference(monotonicity,[status(thm)],[49]) ).
tff(51,plain,
( ( segmentP(sk2,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) )
<=> ( segmentP(sk2,sk5)
| ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ) ),
inference(transitivity,[status(thm)],[50,48]) ).
tff(52,axiom,
( segmentP(sk2,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
tff(53,plain,
( segmentP(sk2,sk5)
| ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(modus_ponens,[status(thm)],[52,51]) ).
tff(54,plain,
( segmentP(sk2,sk5)
| ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(modus_ponens,[status(thm)],[53,47]) ).
tff(55,plain,
( segmentP(sk2,sk5)
| ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(modus_ponens,[status(thm)],[54,47]) ).
tff(56,plain,
( segmentP(sk2,sk5)
| ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(modus_ponens,[status(thm)],[55,47]) ).
tff(57,plain,
( segmentP(sk2,sk5)
| ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(modus_ponens,[status(thm)],[56,47]) ).
tff(58,plain,
segmentP(sk2,sk5),
inference(unit_resolution,[status(thm)],[57,21,12]) ).
tff(59,plain,
segmentP(sk4,sk5),
inference(modus_ponens,[status(thm)],[58,46]) ).
tff(60,plain,
( ( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(sk5) )
<=> ( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(sk5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(61,plain,
( ( totalorderedP(sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) )
<=> ( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(sk5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(62,axiom,
( totalorderedP(sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
tff(63,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(sk5) ),
inference(modus_ponens,[status(thm)],[62,61]) ).
tff(64,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(sk5) ),
inference(modus_ponens,[status(thm)],[63,60]) ).
tff(65,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(sk5) ),
inference(modus_ponens,[status(thm)],[64,60]) ).
tff(66,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(sk5) ),
inference(modus_ponens,[status(thm)],[65,60]) ).
tff(67,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1)
| totalorderedP(sk5) ),
inference(modus_ponens,[status(thm)],[66,60]) ).
tff(68,plain,
totalorderedP(sk5),
inference(unit_resolution,[status(thm)],[67,21,12]) ).
tff(69,plain,
( ( ssList(sk5)
| ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) )
<=> ( ssList(sk5)
| ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(70,plain,
( ( ssList(sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) )
<=> ( ssList(sk5)
| ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(71,axiom,
( ssList(sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
tff(72,plain,
( ssList(sk5)
| ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(modus_ponens,[status(thm)],[71,70]) ).
tff(73,plain,
( ssList(sk5)
| ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(modus_ponens,[status(thm)],[72,69]) ).
tff(74,plain,
ssList(sk5),
inference(unit_resolution,[status(thm)],[73,12,21]) ).
tff(75,plain,
^ [A: $i] :
refl(( ( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) )
<=> ( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) ) )),
inference(bind,[status(th)],[]) ).
tff(76,plain,
( ! [A: $i] :
( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) )
<=> ! [A: $i] :
( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) ) ),
inference(quant_intro,[status(thm)],[75]) ).
tff(77,plain,
( ! [A: $i] :
( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) )
<=> ! [A: $i] :
( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(78,plain,
^ [A: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( ~ ssList(A)
| ~ neq(sk3,A)
| ~ segmentP(sk4,A) )
<=> ( ~ ssList(A)
| ~ segmentP(sk4,A)
| ~ neq(sk3,A) ) )),
( ( ~ ssList(A)
| ~ neq(sk3,A)
| ~ segmentP(sk4,A)
| ~ segmentP(A,sk3) )
<=> ( ~ ssList(A)
| ~ segmentP(sk4,A)
| ~ neq(sk3,A)
| ~ segmentP(A,sk3) ) )),
rewrite(( ( ~ ssList(A)
| ~ segmentP(sk4,A)
| ~ neq(sk3,A)
| ~ segmentP(A,sk3) )
<=> ( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ neq(sk3,A) ) )),
( ( ~ ssList(A)
| ~ neq(sk3,A)
| ~ segmentP(sk4,A)
| ~ segmentP(A,sk3) )
<=> ( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ neq(sk3,A) ) )),
( ( ~ ssList(A)
| ~ neq(sk3,A)
| ~ segmentP(sk4,A)
| ~ segmentP(A,sk3)
| ~ totalorderedP(A) )
<=> ( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ neq(sk3,A)
| ~ totalorderedP(A) ) )),
rewrite(( ( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ neq(sk3,A)
| ~ totalorderedP(A) )
<=> ( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) ) )),
( ( ~ ssList(A)
| ~ neq(sk3,A)
| ~ segmentP(sk4,A)
| ~ segmentP(A,sk3)
| ~ totalorderedP(A) )
<=> ( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) ) )),
inference(bind,[status(th)],[]) ).
tff(79,plain,
( ! [A: $i] :
( ~ ssList(A)
| ~ neq(sk3,A)
| ~ segmentP(sk4,A)
| ~ segmentP(A,sk3)
| ~ totalorderedP(A) )
<=> ! [A: $i] :
( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) ) ),
inference(quant_intro,[status(thm)],[78]) ).
tff(80,axiom,
! [A: $i] :
( ~ ssList(A)
| ~ neq(sk3,A)
| ~ segmentP(sk4,A)
| ~ segmentP(A,sk3)
| ~ totalorderedP(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
tff(81,plain,
! [A: $i] :
( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) ),
inference(modus_ponens,[status(thm)],[80,79]) ).
tff(82,plain,
! [A: $i] :
( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) ),
inference(modus_ponens,[status(thm)],[81,77]) ).
tff(83,plain,
! [A: $i] :
( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) ),
inference(skolemize,[status(sab)],[82]) ).
tff(84,plain,
! [A: $i] :
( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) ),
inference(modus_ponens,[status(thm)],[83,76]) ).
tff(85,plain,
( ( ~ ! [A: $i] :
( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) )
| ~ ssList(sk5)
| ~ segmentP(sk5,sk3)
| ~ segmentP(sk4,sk5)
| ~ totalorderedP(sk5)
| ~ neq(sk3,sk5) )
<=> ( ~ ! [A: $i] :
( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) )
| ~ ssList(sk5)
| ~ segmentP(sk5,sk3)
| ~ segmentP(sk4,sk5)
| ~ totalorderedP(sk5)
| ~ neq(sk3,sk5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(86,plain,
( ~ ! [A: $i] :
( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) )
| ~ ssList(sk5)
| ~ segmentP(sk5,sk3)
| ~ segmentP(sk4,sk5)
| ~ totalorderedP(sk5)
| ~ neq(sk3,sk5) ),
inference(quant_inst,[status(thm)],[]) ).
tff(87,plain,
( ~ ! [A: $i] :
( ~ ssList(A)
| ~ segmentP(A,sk3)
| ~ segmentP(sk4,A)
| ~ totalorderedP(A)
| ~ neq(sk3,A) )
| ~ ssList(sk5)
| ~ segmentP(sk5,sk3)
| ~ segmentP(sk4,sk5)
| ~ totalorderedP(sk5)
| ~ neq(sk3,sk5) ),
inference(modus_ponens,[status(thm)],[86,85]) ).
tff(88,plain,
( ~ segmentP(sk5,sk3)
| ~ segmentP(sk4,sk5)
| ~ neq(sk3,sk5) ),
inference(unit_resolution,[status(thm)],[87,84,74,68]) ).
tff(89,plain,
$false,
inference(unit_resolution,[status(thm)],[88,59,43,31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC333-1 : TPTP v9.0.0. Released v2.4.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 09:03:17 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.46 % SZS status Unsatisfiable
% 0.20/0.46 % SZS output start Proof
% See solution above
% 0.20/0.48 % E exiting
%------------------------------------------------------------------------------