%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN568-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 05:39:36 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 27
% Syntax : Number of formulae : 57 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 281 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 349 ( 142 ~; 178 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of FOOLs : 17 ( 17 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 125 ( 114 !; 0 ?; 125 :)
% Comments :
%------------------------------------------------------------------------------
tff(p10_type,type,
p10: ( $i * $i ) > $o ).
tff(f4_type,type,
f4: ( $i * $i ) > $i ).
tff(f6_type,type,
f6: $i > $i ).
tff(f7_type,type,
f7: $i > $i ).
tff(f8_type,type,
f8: $i > $i ).
tff(c12_type,type,
c12: $i ).
tff(f9_type,type,
f9: $i > $i ).
tff(c13_type,type,
c13: $i ).
tff(c14_type,type,
c14: $i ).
tff(p11_type,type,
p11: ( $i * $i ) > $o ).
tff(f5_type,type,
f5: $i > $i ).
tff(p3_type,type,
p3: ( $i * $i ) > $o ).
tff(1,plain,
( p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12)))))
<=> p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_18) ).
tff(3,plain,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [X4: $i,X5: $i] :
refl(( ( ~ p10(X4,X5)
| ~ p11(X5,X4) )
<=> ( ~ p10(X4,X5)
| ~ p11(X5,X4) ) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [X4: $i,X5: $i] :
( ~ p10(X4,X5)
| ~ p11(X5,X4) )
<=> ! [X4: $i,X5: $i] :
( ~ p10(X4,X5)
| ~ p11(X5,X4) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [X4: $i,X5: $i] :
( ~ p10(X4,X5)
| ~ p11(X5,X4) )
<=> ! [X4: $i,X5: $i] :
( ~ p10(X4,X5)
| ~ p11(X5,X4) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,axiom,
! [X4: $i,X5: $i] :
( ~ p10(X4,X5)
| ~ p11(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_6) ).
tff(8,plain,
! [X4: $i,X5: $i] :
( ~ p10(X4,X5)
| ~ p11(X5,X4) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [X4: $i,X5: $i] :
( ~ p10(X4,X5)
| ~ p11(X5,X4) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [X4: $i,X5: $i] :
( ~ p10(X4,X5)
| ~ p11(X5,X4) ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
( ( ~ ! [X4: $i,X5: $i] :
( ~ p10(X4,X5)
| ~ p11(X5,X4) )
| ~ p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
| ~ p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))) )
<=> ( ~ ! [X4: $i,X5: $i] :
( ~ p10(X4,X5)
| ~ p11(X5,X4) )
| ~ p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
| ~ p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,plain,
( ~ ! [X4: $i,X5: $i] :
( ~ p10(X4,X5)
| ~ p11(X5,X4) )
| ~ p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
| ~ p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))) ),
inference(quant_inst,[status(thm)],[]) ).
tff(13,plain,
( ~ ! [X4: $i,X5: $i] :
( ~ p10(X4,X5)
| ~ p11(X5,X4) )
| ~ p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
| ~ p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
~ p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12))))),
inference(unit_resolution,[status(thm)],[13,10,3]) ).
tff(15,plain,
^ [X4: $i,X5: $i] :
refl(( ( p10(X4,X5)
| p11(X5,X4) )
<=> ( p10(X4,X5)
| p11(X5,X4) ) )),
inference(bind,[status(th)],[]) ).
tff(16,plain,
( ! [X4: $i,X5: $i] :
( p10(X4,X5)
| p11(X5,X4) )
<=> ! [X4: $i,X5: $i] :
( p10(X4,X5)
| p11(X5,X4) ) ),
inference(quant_intro,[status(thm)],[15]) ).
tff(17,plain,
( ! [X4: $i,X5: $i] :
( p10(X4,X5)
| p11(X5,X4) )
<=> ! [X4: $i,X5: $i] :
( p10(X4,X5)
| p11(X5,X4) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(18,axiom,
! [X4: $i,X5: $i] :
( p10(X4,X5)
| p11(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_5) ).
tff(19,plain,
! [X4: $i,X5: $i] :
( p10(X4,X5)
| p11(X5,X4) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
! [X4: $i,X5: $i] :
( p10(X4,X5)
| p11(X5,X4) ),
inference(skolemize,[status(sab)],[19]) ).
tff(21,plain,
! [X4: $i,X5: $i] :
( p10(X4,X5)
| p11(X5,X4) ),
inference(modus_ponens,[status(thm)],[20,16]) ).
tff(22,plain,
( ~ p11(f9(c13),f9(c14))
<=> ~ p11(f9(c13),f9(c14)) ),
inference(rewrite,[status(thm)],[]) ).
tff(23,axiom,
~ p11(f9(c13),f9(c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_3) ).
tff(24,plain,
~ p11(f9(c13),f9(c14)),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
( ( ~ ! [X4: $i,X5: $i] :
( p10(X4,X5)
| p11(X5,X4) )
| p10(f9(c14),f9(c13))
| p11(f9(c13),f9(c14)) )
<=> ( ~ ! [X4: $i,X5: $i] :
( p10(X4,X5)
| p11(X5,X4) )
| p10(f9(c14),f9(c13))
| p11(f9(c13),f9(c14)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(26,plain,
( ~ ! [X4: $i,X5: $i] :
( p10(X4,X5)
| p11(X5,X4) )
| p10(f9(c14),f9(c13))
| p11(f9(c13),f9(c14)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(27,plain,
( ~ ! [X4: $i,X5: $i] :
( p10(X4,X5)
| p11(X5,X4) )
| p10(f9(c14),f9(c13))
| p11(f9(c13),f9(c14)) ),
inference(modus_ponens,[status(thm)],[26,25]) ).
tff(28,plain,
p10(f9(c14),f9(c13)),
inference(unit_resolution,[status(thm)],[27,24,21]) ).
tff(29,plain,
^ [X16: $i] :
refl(( p11(f5(f6(c12)),f9(X16))
<=> p11(f5(f6(c12)),f9(X16)) )),
inference(bind,[status(th)],[]) ).
tff(30,plain,
( ! [X16: $i] : p11(f5(f6(c12)),f9(X16))
<=> ! [X16: $i] : p11(f5(f6(c12)),f9(X16)) ),
inference(quant_intro,[status(thm)],[29]) ).
tff(31,plain,
( ! [X16: $i] : p11(f5(f6(c12)),f9(X16))
<=> ! [X16: $i] : p11(f5(f6(c12)),f9(X16)) ),
inference(rewrite,[status(thm)],[]) ).
tff(32,axiom,
! [X16: $i] : p11(f5(f6(c12)),f9(X16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_4) ).
tff(33,plain,
! [X16: $i] : p11(f5(f6(c12)),f9(X16)),
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
! [X16: $i] : p11(f5(f6(c12)),f9(X16)),
inference(skolemize,[status(sab)],[33]) ).
tff(35,plain,
! [X16: $i] : p11(f5(f6(c12)),f9(X16)),
inference(modus_ponens,[status(thm)],[34,30]) ).
tff(36,plain,
( ~ ! [X16: $i] : p11(f5(f6(c12)),f9(X16))
| p11(f5(f6(c12)),f9(c14)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(37,plain,
p11(f5(f6(c12)),f9(c14)),
inference(unit_resolution,[status(thm)],[36,35]) ).
tff(38,plain,
^ [X6: $i,X7: $i,X8: $i] :
refl(( ( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) )
<=> ( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) ) )),
inference(bind,[status(th)],[]) ).
tff(39,plain,
( ! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) )
<=> ! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) ) ),
inference(quant_intro,[status(thm)],[38]) ).
tff(40,plain,
( ! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) )
<=> ! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(41,plain,
^ [X6: $i,X7: $i,X8: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( p3(X7,f6(c12))
| p10(f4(X6,X7),f4(X8,X7)) )
<=> ( p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) ) )),
( ( p3(X7,f6(c12))
| p10(f4(X6,X7),f4(X8,X7))
| ~ p10(X6,X8) )
<=> ( p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12))
| ~ p10(X6,X8) ) )),
rewrite(( ( p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12))
| ~ p10(X6,X8) )
<=> ( ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) ) )),
( ( p3(X7,f6(c12))
| p10(f4(X6,X7),f4(X8,X7))
| ~ p10(X6,X8) )
<=> ( ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) ) )),
( ( p3(X7,f6(c12))
| p10(f4(X6,X7),f4(X8,X7))
| ~ p10(X6,X8)
| ~ p11(f5(f6(c12)),X6) )
<=> ( ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12))
| ~ p11(f5(f6(c12)),X6) ) )),
rewrite(( ( ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12))
| ~ p11(f5(f6(c12)),X6) )
<=> ( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) ) )),
( ( p3(X7,f6(c12))
| p10(f4(X6,X7),f4(X8,X7))
| ~ p10(X6,X8)
| ~ p11(f5(f6(c12)),X6) )
<=> ( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) ) )),
inference(bind,[status(th)],[]) ).
tff(42,plain,
( ! [X6: $i,X7: $i,X8: $i] :
( p3(X7,f6(c12))
| p10(f4(X6,X7),f4(X8,X7))
| ~ p10(X6,X8)
| ~ p11(f5(f6(c12)),X6) )
<=> ! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) ) ),
inference(quant_intro,[status(thm)],[41]) ).
tff(43,axiom,
! [X6: $i,X7: $i,X8: $i] :
( p3(X7,f6(c12))
| p10(f4(X6,X7),f4(X8,X7))
| ~ p10(X6,X8)
| ~ p11(f5(f6(c12)),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).
tff(44,plain,
! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) ),
inference(modus_ponens,[status(thm)],[44,40]) ).
tff(46,plain,
! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) ),
inference(skolemize,[status(sab)],[45]) ).
tff(47,plain,
! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) ),
inference(modus_ponens,[status(thm)],[46,39]) ).
tff(48,plain,
( ~ p3(f6(f7(f8(c12))),f6(c12))
<=> ~ p3(f6(f7(f8(c12))),f6(c12)) ),
inference(rewrite,[status(thm)],[]) ).
tff(49,axiom,
~ p3(f6(f7(f8(c12))),f6(c12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_7) ).
tff(50,plain,
~ p3(f6(f7(f8(c12))),f6(c12)),
inference(modus_ponens,[status(thm)],[49,48]) ).
tff(51,plain,
( ( ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) )
| p3(f6(f7(f8(c12))),f6(c12))
| p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
| ~ p11(f5(f6(c12)),f9(c14))
| ~ p10(f9(c14),f9(c13)) )
<=> ( ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) )
| p3(f6(f7(f8(c12))),f6(c12))
| p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
| ~ p11(f5(f6(c12)),f9(c14))
| ~ p10(f9(c14),f9(c13)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(52,plain,
( ( ~ p11(f5(f6(c12)),f9(c14))
| ~ p10(f9(c14),f9(c13))
| p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
| p3(f6(f7(f8(c12))),f6(c12)) )
<=> ( p3(f6(f7(f8(c12))),f6(c12))
| p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
| ~ p11(f5(f6(c12)),f9(c14))
| ~ p10(f9(c14),f9(c13)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(53,plain,
( ( ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) )
| ~ p11(f5(f6(c12)),f9(c14))
| ~ p10(f9(c14),f9(c13))
| p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
| p3(f6(f7(f8(c12))),f6(c12)) )
<=> ( ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) )
| p3(f6(f7(f8(c12))),f6(c12))
| p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
| ~ p11(f5(f6(c12)),f9(c14))
| ~ p10(f9(c14),f9(c13)) ) ),
inference(monotonicity,[status(thm)],[52]) ).
tff(54,plain,
( ( ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) )
| ~ p11(f5(f6(c12)),f9(c14))
| ~ p10(f9(c14),f9(c13))
| p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
| p3(f6(f7(f8(c12))),f6(c12)) )
<=> ( ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) )
| p3(f6(f7(f8(c12))),f6(c12))
| p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
| ~ p11(f5(f6(c12)),f9(c14))
| ~ p10(f9(c14),f9(c13)) ) ),
inference(transitivity,[status(thm)],[53,51]) ).
tff(55,plain,
( ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) )
| ~ p11(f5(f6(c12)),f9(c14))
| ~ p10(f9(c14),f9(c13))
| p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
| p3(f6(f7(f8(c12))),f6(c12)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(56,plain,
( ~ ! [X6: $i,X7: $i,X8: $i] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) )
| p3(f6(f7(f8(c12))),f6(c12))
| p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12)))))
| ~ p11(f5(f6(c12)),f9(c14))
| ~ p10(f9(c14),f9(c13)) ),
inference(modus_ponens,[status(thm)],[55,54]) ).
tff(57,plain,
$false,
inference(unit_resolution,[status(thm)],[56,50,47,37,28,14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN568-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n015.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 12:38:40 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.38 % SZS status Unsatisfiable
% 0.12/0.38 % SZS output start Proof
% See solution above
% 0.19/0.39 % E exiting
%------------------------------------------------------------------------------