%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWC422-1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n002.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 05:31:12 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.43s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 26
% Syntax : Number of formulae : 58 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 375 ( 120 equ)
% Maximal formula atoms : 24 ( 6 avg)
% Number of connectives : 613 ( 316 ~; 267 |; 0 &)
% ( 30 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of FOOLs : 20 ( 20 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 : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 63 ( 57 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
tff(sk2_type,type,
sk2: $i ).
tff(app_type,type,
app: ( $i * $i ) > $i ).
tff(sk7_type,type,
sk7: $i ).
tff(cons_type,type,
cons: ( $i * $i ) > $i ).
tff(nil_type,type,
nil: $i ).
tff(sk5_type,type,
sk5: $i ).
tff(sk6_type,type,
sk6: $i ).
tff(sk4_type,type,
sk4: $i ).
tff(neq_type,type,
neq: ( $i * $i ) > $o ).
tff(sk1_type,type,
sk1: $i ).
tff(sk3_type,type,
sk3: $i ).
tff(ssList_type,type,
ssList: $i > $o ).
tff(ssItem_type,type,
ssItem: $i > $o ).
tff(1,plain,
( ( sk2 = sk4 )
<=> ( sk2 = sk4 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
tff(3,plain,
sk2 = sk4,
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
sk4 = sk2,
inference(symmetry,[status(thm)],[3]) ).
tff(5,plain,
( neq(sk2,nil)
<=> neq(sk4,nil) ),
inference(monotonicity,[status(thm)],[3]) ).
tff(6,plain,
( neq(sk2,nil)
<=> neq(sk2,nil) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,plain,
( ( neq(sk2,nil)
| neq(sk2,nil) )
<=> neq(sk2,nil) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
tff(9,plain,
neq(sk2,nil),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
neq(sk2,nil),
inference(modus_ponens,[status(thm)],[9,6]) ).
tff(11,plain,
neq(sk4,nil),
inference(modus_ponens,[status(thm)],[10,5]) ).
tff(12,plain,
( ( ~ neq(sk4,nil)
| ( app(app(sk6,cons(sk5,nil)),sk7) = sk4 ) )
<=> ( ~ neq(sk4,nil)
| ( app(app(sk6,cons(sk5,nil)),sk7) = sk4 ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,plain,
( ( ( app(app(sk6,cons(sk5,nil)),sk7) = sk4 )
| ~ neq(sk4,nil) )
<=> ( ~ neq(sk4,nil)
| ( app(app(sk6,cons(sk5,nil)),sk7) = sk4 ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
( ( app(app(sk6,cons(sk5,nil)),sk7) = sk4 )
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
tff(15,plain,
( ~ neq(sk4,nil)
| ( app(app(sk6,cons(sk5,nil)),sk7) = sk4 ) ),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
( ~ neq(sk4,nil)
| ( app(app(sk6,cons(sk5,nil)),sk7) = sk4 ) ),
inference(modus_ponens,[status(thm)],[15,12]) ).
tff(17,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk4,
inference(unit_resolution,[status(thm)],[16,11]) ).
tff(18,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk2,
inference(transitivity,[status(thm)],[17,4]) ).
tff(19,plain,
( ( sk1 = sk3 )
<=> ( sk1 = sk3 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
tff(21,plain,
sk1 = sk3,
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
sk3 = sk1,
inference(symmetry,[status(thm)],[21]) ).
tff(23,plain,
( ( ~ neq(sk4,nil)
| ( app(app(sk7,cons(sk5,nil)),sk6) = sk3 ) )
<=> ( ~ neq(sk4,nil)
| ( app(app(sk7,cons(sk5,nil)),sk6) = sk3 ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(24,plain,
( ( ( app(app(sk7,cons(sk5,nil)),sk6) = sk3 )
| ~ neq(sk4,nil) )
<=> ( ~ neq(sk4,nil)
| ( app(app(sk7,cons(sk5,nil)),sk6) = sk3 ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(25,axiom,
( ( app(app(sk7,cons(sk5,nil)),sk6) = sk3 )
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
tff(26,plain,
( ~ neq(sk4,nil)
| ( app(app(sk7,cons(sk5,nil)),sk6) = sk3 ) ),
inference(modus_ponens,[status(thm)],[25,24]) ).
tff(27,plain,
( ~ neq(sk4,nil)
| ( app(app(sk7,cons(sk5,nil)),sk6) = sk3 ) ),
inference(modus_ponens,[status(thm)],[26,23]) ).
tff(28,plain,
app(app(sk7,cons(sk5,nil)),sk6) = sk3,
inference(unit_resolution,[status(thm)],[27,11]) ).
tff(29,plain,
app(app(sk7,cons(sk5,nil)),sk6) = sk1,
inference(transitivity,[status(thm)],[28,22]) ).
tff(30,plain,
^ [B: $i,A: $i,C: $i] :
refl(( ( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) )
<=> ( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) ) )),
inference(bind,[status(th)],[]) ).
tff(31,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) ) ),
inference(quant_intro,[status(thm)],[30]) ).
tff(32,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(33,plain,
^ [B: $i,A: $i,C: $i] :
trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(( ( ~ ssItem(A)
| ~ ssList(B)
| ~ ssList(C) )
<=> ( ~ ssList(C)
| ~ ssItem(A)
| ~ ssList(B) ) )),
( ( ~ ssItem(A)
| ~ ssList(B)
| ~ ssList(C)
| ( app(app(B,cons(A,nil)),C) != sk2 ) )
<=> ( ~ ssList(C)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(B,cons(A,nil)),C) != sk2 ) ) )),
rewrite(( ( ~ ssList(C)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(B,cons(A,nil)),C) != sk2 ) )
<=> ( ~ ssList(C)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(B,cons(A,nil)),C) != sk2 ) ) )),
( ( ~ ssItem(A)
| ~ ssList(B)
| ~ ssList(C)
| ( app(app(B,cons(A,nil)),C) != sk2 ) )
<=> ( ~ ssList(C)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(B,cons(A,nil)),C) != sk2 ) ) )),
( ( ~ ssItem(A)
| ~ ssList(B)
| ~ ssList(C)
| ( app(app(B,cons(A,nil)),C) != sk2 )
| ( app(app(C,cons(A,nil)),B) != sk1 ) )
<=> ( ~ ssList(C)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(B,cons(A,nil)),C) != sk2 )
| ( app(app(C,cons(A,nil)),B) != sk1 ) ) )),
rewrite(( ( ~ ssList(C)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(B,cons(A,nil)),C) != sk2 )
| ( app(app(C,cons(A,nil)),B) != sk1 ) )
<=> ( ~ ssList(C)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) ) )),
( ( ~ ssItem(A)
| ~ ssList(B)
| ~ ssList(C)
| ( app(app(B,cons(A,nil)),C) != sk2 )
| ( app(app(C,cons(A,nil)),B) != sk1 ) )
<=> ( ~ ssList(C)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) ) )),
( ( ~ ssItem(A)
| ~ ssList(B)
| ~ ssList(C)
| ( app(app(B,cons(A,nil)),C) != sk2 )
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ~ neq(sk4,nil) )
<=> ( ~ ssList(C)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 )
| ~ neq(sk4,nil) ) )),
rewrite(( ( ~ ssList(C)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 )
| ~ neq(sk4,nil) )
<=> ( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) ) )),
( ( ~ ssItem(A)
| ~ ssList(B)
| ~ ssList(C)
| ( app(app(B,cons(A,nil)),C) != sk2 )
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ~ neq(sk4,nil) )
<=> ( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) ) )),
inference(bind,[status(th)],[]) ).
tff(34,plain,
( ! [B: $i,A: $i,C: $i] :
( ~ ssItem(A)
| ~ ssList(B)
| ~ ssList(C)
| ( app(app(B,cons(A,nil)),C) != sk2 )
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ~ neq(sk4,nil) )
<=> ! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) ) ),
inference(quant_intro,[status(thm)],[33]) ).
tff(35,axiom,
! [B: $i,A: $i,C: $i] :
( ~ ssItem(A)
| ~ ssList(B)
| ~ ssList(C)
| ( app(app(B,cons(A,nil)),C) != sk2 )
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
tff(36,plain,
! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) ),
inference(modus_ponens,[status(thm)],[35,34]) ).
tff(37,plain,
! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) ),
inference(modus_ponens,[status(thm)],[36,32]) ).
tff(38,plain,
! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) ),
inference(skolemize,[status(sab)],[37]) ).
tff(39,plain,
! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) ),
inference(modus_ponens,[status(thm)],[38,31]) ).
tff(40,plain,
( ( ssList(sk7)
| ~ neq(sk4,nil) )
<=> ( ssList(sk7)
| ~ neq(sk4,nil) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(41,axiom,
( ssList(sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
tff(42,plain,
( ssList(sk7)
| ~ neq(sk4,nil) ),
inference(modus_ponens,[status(thm)],[41,40]) ).
tff(43,plain,
ssList(sk7),
inference(unit_resolution,[status(thm)],[42,11]) ).
tff(44,plain,
( ( ssList(sk6)
| ~ neq(sk4,nil) )
<=> ( ssList(sk6)
| ~ neq(sk4,nil) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(45,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
tff(46,plain,
( ssList(sk6)
| ~ neq(sk4,nil) ),
inference(modus_ponens,[status(thm)],[45,44]) ).
tff(47,plain,
ssList(sk6),
inference(unit_resolution,[status(thm)],[46,11]) ).
tff(48,plain,
( ( ssItem(sk5)
| ~ neq(sk4,nil) )
<=> ( ssItem(sk5)
| ~ neq(sk4,nil) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(49,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
tff(50,plain,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(modus_ponens,[status(thm)],[49,48]) ).
tff(51,plain,
ssItem(sk5),
inference(unit_resolution,[status(thm)],[50,11]) ).
tff(52,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) )
| ~ neq(sk4,nil)
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ ssList(sk7)
| ( app(app(sk7,cons(sk5,nil)),sk6) != sk1 )
| ( app(app(sk6,cons(sk5,nil)),sk7) != sk2 ) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) )
| ~ neq(sk4,nil)
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ ssList(sk7)
| ( app(app(sk7,cons(sk5,nil)),sk6) != sk1 )
| ( app(app(sk6,cons(sk5,nil)),sk7) != sk2 ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(53,plain,
( ( ~ ssList(sk7)
| ~ neq(sk4,nil)
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ( app(app(sk7,cons(sk5,nil)),sk6) != sk1 )
| ( app(app(sk6,cons(sk5,nil)),sk7) != sk2 ) )
<=> ( ~ neq(sk4,nil)
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ ssList(sk7)
| ( app(app(sk7,cons(sk5,nil)),sk6) != sk1 )
| ( app(app(sk6,cons(sk5,nil)),sk7) != sk2 ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(54,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) )
| ~ ssList(sk7)
| ~ neq(sk4,nil)
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ( app(app(sk7,cons(sk5,nil)),sk6) != sk1 )
| ( app(app(sk6,cons(sk5,nil)),sk7) != sk2 ) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) )
| ~ neq(sk4,nil)
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ ssList(sk7)
| ( app(app(sk7,cons(sk5,nil)),sk6) != sk1 )
| ( app(app(sk6,cons(sk5,nil)),sk7) != sk2 ) ) ),
inference(monotonicity,[status(thm)],[53]) ).
tff(55,plain,
( ( ~ ! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) )
| ~ ssList(sk7)
| ~ neq(sk4,nil)
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ( app(app(sk7,cons(sk5,nil)),sk6) != sk1 )
| ( app(app(sk6,cons(sk5,nil)),sk7) != sk2 ) )
<=> ( ~ ! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) )
| ~ neq(sk4,nil)
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ ssList(sk7)
| ( app(app(sk7,cons(sk5,nil)),sk6) != sk1 )
| ( app(app(sk6,cons(sk5,nil)),sk7) != sk2 ) ) ),
inference(transitivity,[status(thm)],[54,52]) ).
tff(56,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) )
| ~ ssList(sk7)
| ~ neq(sk4,nil)
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ( app(app(sk7,cons(sk5,nil)),sk6) != sk1 )
| ( app(app(sk6,cons(sk5,nil)),sk7) != sk2 ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(57,plain,
( ~ ! [B: $i,A: $i,C: $i] :
( ~ ssList(C)
| ~ neq(sk4,nil)
| ~ ssItem(A)
| ~ ssList(B)
| ( app(app(C,cons(A,nil)),B) != sk1 )
| ( app(app(B,cons(A,nil)),C) != sk2 ) )
| ~ neq(sk4,nil)
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ ssList(sk7)
| ( app(app(sk7,cons(sk5,nil)),sk6) != sk1 )
| ( app(app(sk6,cons(sk5,nil)),sk7) != sk2 ) ),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
$false,
inference(unit_resolution,[status(thm)],[57,11,51,47,43,39,29,18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC422-1 : TPTP v9.0.0. Released v2.4.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n002.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 09:19:16 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.43 % SZS status Unsatisfiable
% 0.19/0.43 % SZS output start Proof
% See solution above
% 0.19/0.45 % E exiting
%------------------------------------------------------------------------------