%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL897+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 03:01:09 PM UTC 2026
% Result : Theorem 0.09s 0.42s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 24
% Syntax : Number of formulae : 72 ( 53 unt; 0 typ; 0 def)
% Number of atoms : 99 ( 94 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 37 ( 14 ~; 10 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of FOOLs : 4 ( 4 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 115 ( 105 !; 0 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
tff(tptp_fun_____type,type,
tptp_fun____: ( $i * $i ) > $i ).
tff(tptp_fun_______type,type,
tptp_fun______: ( $i * $i ) > $i ).
tff(c_type,type,
c: $i ).
tff(b_type,type,
b: $i ).
tff(a_type,type,
a: $i ).
tff(1,plain,
^ [A: $i,B: $i] :
refl(( ( tptp_fun____(A,tptp_fun______(A,B)) = tptp_fun____(B,tptp_fun______(B,A)) )
<=> ( tptp_fun____(A,tptp_fun______(A,B)) = tptp_fun____(B,tptp_fun______(B,A)) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [A: $i,B: $i] : ( tptp_fun____(A,tptp_fun______(A,B)) = tptp_fun____(B,tptp_fun______(B,A)) )
<=> ! [A: $i,B: $i] : ( tptp_fun____(A,tptp_fun______(A,B)) = tptp_fun____(B,tptp_fun______(B,A)) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [A: $i,B: $i] : ( tptp_fun____(A,tptp_fun______(A,B)) = tptp_fun____(B,tptp_fun______(B,A)) )
<=> ! [A: $i,B: $i] : ( tptp_fun____(A,tptp_fun______(A,B)) = tptp_fun____(B,tptp_fun______(B,A)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,axiom,
! [A: $i,B: $i] : ( tptp_fun____(A,tptp_fun______(A,B)) = tptp_fun____(B,tptp_fun______(B,A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
tff(5,plain,
! [A: $i,B: $i] : ( tptp_fun____(A,tptp_fun______(A,B)) = tptp_fun____(B,tptp_fun______(B,A)) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [A: $i,B: $i] : ( tptp_fun____(A,tptp_fun______(A,B)) = tptp_fun____(B,tptp_fun______(B,A)) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [A: $i,B: $i] : ( tptp_fun____(A,tptp_fun______(A,B)) = tptp_fun____(B,tptp_fun______(B,A)) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [A: $i,B: $i] : ( tptp_fun____(A,tptp_fun______(A,B)) = tptp_fun____(B,tptp_fun______(B,A)) )
| ( tptp_fun____(tptp_fun____(b,tptp_fun______(b,c)),tptp_fun______(tptp_fun____(b,tptp_fun______(b,c)),a)) = tptp_fun____(a,tptp_fun______(a,tptp_fun____(b,tptp_fun______(b,c)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(9,plain,
tptp_fun____(tptp_fun____(b,tptp_fun______(b,c)),tptp_fun______(tptp_fun____(b,tptp_fun______(b,c)),a)) = tptp_fun____(a,tptp_fun______(a,tptp_fun____(b,tptp_fun______(b,c)))),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
^ [A: $i,B: $i,C: $i] :
refl(( ( tptp_fun____(tptp_fun____(A,B),C) = tptp_fun____(A,tptp_fun____(B,C)) )
<=> ( tptp_fun____(tptp_fun____(A,B),C) = tptp_fun____(A,tptp_fun____(B,C)) ) )),
inference(bind,[status(th)],[]) ).
tff(11,plain,
( ! [A: $i,B: $i,C: $i] : ( tptp_fun____(tptp_fun____(A,B),C) = tptp_fun____(A,tptp_fun____(B,C)) )
<=> ! [A: $i,B: $i,C: $i] : ( tptp_fun____(tptp_fun____(A,B),C) = tptp_fun____(A,tptp_fun____(B,C)) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
( ! [A: $i,B: $i,C: $i] : ( tptp_fun____(tptp_fun____(A,B),C) = tptp_fun____(A,tptp_fun____(B,C)) )
<=> ! [A: $i,B: $i,C: $i] : ( tptp_fun____(tptp_fun____(A,B),C) = tptp_fun____(A,tptp_fun____(B,C)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,axiom,
! [A: $i,B: $i,C: $i] : ( tptp_fun____(tptp_fun____(A,B),C) = tptp_fun____(A,tptp_fun____(B,C)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
tff(14,plain,
! [A: $i,B: $i,C: $i] : ( tptp_fun____(tptp_fun____(A,B),C) = tptp_fun____(A,tptp_fun____(B,C)) ),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
! [A: $i,B: $i,C: $i] : ( tptp_fun____(tptp_fun____(A,B),C) = tptp_fun____(A,tptp_fun____(B,C)) ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [A: $i,B: $i,C: $i] : ( tptp_fun____(tptp_fun____(A,B),C) = tptp_fun____(A,tptp_fun____(B,C)) ),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,plain,
( ~ ! [A: $i,B: $i,C: $i] : ( tptp_fun____(tptp_fun____(A,B),C) = tptp_fun____(A,tptp_fun____(B,C)) )
| ( tptp_fun____(tptp_fun____(b,tptp_fun______(b,c)),tptp_fun______(tptp_fun____(b,tptp_fun______(b,c)),a)) = tptp_fun____(b,tptp_fun____(tptp_fun______(b,c),tptp_fun______(tptp_fun____(b,tptp_fun______(b,c)),a))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(18,plain,
tptp_fun____(tptp_fun____(b,tptp_fun______(b,c)),tptp_fun______(tptp_fun____(b,tptp_fun______(b,c)),a)) = tptp_fun____(b,tptp_fun____(tptp_fun______(b,c),tptp_fun______(tptp_fun____(b,tptp_fun______(b,c)),a))),
inference(unit_resolution,[status(thm)],[17,16]) ).
tff(19,plain,
tptp_fun____(b,tptp_fun____(tptp_fun______(b,c),tptp_fun______(tptp_fun____(b,tptp_fun______(b,c)),a))) = tptp_fun____(tptp_fun____(b,tptp_fun______(b,c)),tptp_fun______(tptp_fun____(b,tptp_fun______(b,c)),a)),
inference(symmetry,[status(thm)],[18]) ).
tff(20,plain,
^ [A: $i,B: $i,C: $i] :
refl(( ( tptp_fun______(tptp_fun____(A,B),C) = tptp_fun______(A,tptp_fun______(B,C)) )
<=> ( tptp_fun______(tptp_fun____(A,B),C) = tptp_fun______(A,tptp_fun______(B,C)) ) )),
inference(bind,[status(th)],[]) ).
tff(21,plain,
( ! [A: $i,B: $i,C: $i] : ( tptp_fun______(tptp_fun____(A,B),C) = tptp_fun______(A,tptp_fun______(B,C)) )
<=> ! [A: $i,B: $i,C: $i] : ( tptp_fun______(tptp_fun____(A,B),C) = tptp_fun______(A,tptp_fun______(B,C)) ) ),
inference(quant_intro,[status(thm)],[20]) ).
tff(22,plain,
( ! [A: $i,B: $i,C: $i] : ( tptp_fun______(tptp_fun____(A,B),C) = tptp_fun______(A,tptp_fun______(B,C)) )
<=> ! [A: $i,B: $i,C: $i] : ( tptp_fun______(tptp_fun____(A,B),C) = tptp_fun______(A,tptp_fun______(B,C)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(23,axiom,
! [A: $i,B: $i,C: $i] : ( tptp_fun______(tptp_fun____(A,B),C) = tptp_fun______(A,tptp_fun______(B,C)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
tff(24,plain,
! [A: $i,B: $i,C: $i] : ( tptp_fun______(tptp_fun____(A,B),C) = tptp_fun______(A,tptp_fun______(B,C)) ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
! [A: $i,B: $i,C: $i] : ( tptp_fun______(tptp_fun____(A,B),C) = tptp_fun______(A,tptp_fun______(B,C)) ),
inference(skolemize,[status(sab)],[24]) ).
tff(26,plain,
! [A: $i,B: $i,C: $i] : ( tptp_fun______(tptp_fun____(A,B),C) = tptp_fun______(A,tptp_fun______(B,C)) ),
inference(modus_ponens,[status(thm)],[25,21]) ).
tff(27,plain,
( ~ ! [A: $i,B: $i,C: $i] : ( tptp_fun______(tptp_fun____(A,B),C) = tptp_fun______(A,tptp_fun______(B,C)) )
| ( tptp_fun______(tptp_fun____(tptp_fun______(b,a),b),c) = tptp_fun______(tptp_fun______(b,a),tptp_fun______(b,c)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(28,plain,
tptp_fun______(tptp_fun____(tptp_fun______(b,a),b),c) = tptp_fun______(tptp_fun______(b,a),tptp_fun______(b,c)),
inference(unit_resolution,[status(thm)],[27,26]) ).
tff(29,plain,
( ~ ! [A: $i,B: $i] : ( tptp_fun____(A,tptp_fun______(A,B)) = tptp_fun____(B,tptp_fun______(B,A)) )
| ( tptp_fun____(b,tptp_fun______(b,a)) = tptp_fun____(a,tptp_fun______(a,b)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(30,plain,
tptp_fun____(b,tptp_fun______(b,a)) = tptp_fun____(a,tptp_fun______(a,b)),
inference(unit_resolution,[status(thm)],[29,7]) ).
tff(31,plain,
^ [A: $i,B: $i] :
refl(( ( tptp_fun____(A,B) = tptp_fun____(B,A) )
<=> ( tptp_fun____(A,B) = tptp_fun____(B,A) ) )),
inference(bind,[status(th)],[]) ).
tff(32,plain,
( ! [A: $i,B: $i] : ( tptp_fun____(A,B) = tptp_fun____(B,A) )
<=> ! [A: $i,B: $i] : ( tptp_fun____(A,B) = tptp_fun____(B,A) ) ),
inference(quant_intro,[status(thm)],[31]) ).
tff(33,plain,
( ! [A: $i,B: $i] : ( tptp_fun____(A,B) = tptp_fun____(B,A) )
<=> ! [A: $i,B: $i] : ( tptp_fun____(A,B) = tptp_fun____(B,A) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,axiom,
! [A: $i,B: $i] : ( tptp_fun____(A,B) = tptp_fun____(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
tff(35,plain,
! [A: $i,B: $i] : ( tptp_fun____(A,B) = tptp_fun____(B,A) ),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
! [A: $i,B: $i] : ( tptp_fun____(A,B) = tptp_fun____(B,A) ),
inference(skolemize,[status(sab)],[35]) ).
tff(37,plain,
! [A: $i,B: $i] : ( tptp_fun____(A,B) = tptp_fun____(B,A) ),
inference(modus_ponens,[status(thm)],[36,32]) ).
tff(38,plain,
( ~ ! [A: $i,B: $i] : ( tptp_fun____(A,B) = tptp_fun____(B,A) )
| ( tptp_fun____(tptp_fun______(b,a),b) = tptp_fun____(b,tptp_fun______(b,a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(39,plain,
tptp_fun____(tptp_fun______(b,a),b) = tptp_fun____(b,tptp_fun______(b,a)),
inference(unit_resolution,[status(thm)],[38,37]) ).
tff(40,plain,
tptp_fun____(tptp_fun______(b,a),b) = tptp_fun____(a,tptp_fun______(a,b)),
inference(transitivity,[status(thm)],[39,30]) ).
tff(41,plain,
tptp_fun______(tptp_fun____(tptp_fun______(b,a),b),c) = tptp_fun______(tptp_fun____(a,tptp_fun______(a,b)),c),
inference(monotonicity,[status(thm)],[40]) ).
tff(42,plain,
tptp_fun______(tptp_fun____(a,tptp_fun______(a,b)),c) = tptp_fun______(tptp_fun____(tptp_fun______(b,a),b),c),
inference(symmetry,[status(thm)],[41]) ).
tff(43,plain,
( ~ ! [A: $i,B: $i,C: $i] : ( tptp_fun______(tptp_fun____(A,B),C) = tptp_fun______(A,tptp_fun______(B,C)) )
| ( tptp_fun______(tptp_fun____(a,tptp_fun______(a,b)),c) = tptp_fun______(a,tptp_fun______(tptp_fun______(a,b),c)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(44,plain,
tptp_fun______(tptp_fun____(a,tptp_fun______(a,b)),c) = tptp_fun______(a,tptp_fun______(tptp_fun______(a,b),c)),
inference(unit_resolution,[status(thm)],[43,26]) ).
tff(45,plain,
tptp_fun______(a,tptp_fun______(tptp_fun______(a,b),c)) = tptp_fun______(tptp_fun____(a,tptp_fun______(a,b)),c),
inference(symmetry,[status(thm)],[44]) ).
tff(46,plain,
tptp_fun______(a,tptp_fun______(tptp_fun______(a,b),c)) = tptp_fun______(tptp_fun______(b,a),tptp_fun______(b,c)),
inference(transitivity,[status(thm)],[45,42,28]) ).
tff(47,plain,
tptp_fun____(tptp_fun______(b,a),tptp_fun______(a,tptp_fun______(tptp_fun______(a,b),c))) = tptp_fun____(tptp_fun______(b,a),tptp_fun______(tptp_fun______(b,a),tptp_fun______(b,c))),
inference(monotonicity,[status(thm)],[46]) ).
tff(48,plain,
tptp_fun____(tptp_fun______(b,a),tptp_fun______(tptp_fun______(b,a),tptp_fun______(b,c))) = tptp_fun____(tptp_fun______(b,a),tptp_fun______(a,tptp_fun______(tptp_fun______(a,b),c))),
inference(symmetry,[status(thm)],[47]) ).
tff(49,plain,
( ~ ! [A: $i,B: $i] : ( tptp_fun____(A,tptp_fun______(A,B)) = tptp_fun____(B,tptp_fun______(B,A)) )
| ( tptp_fun____(tptp_fun______(b,a),tptp_fun______(tptp_fun______(b,a),tptp_fun______(b,c))) = tptp_fun____(tptp_fun______(b,c),tptp_fun______(tptp_fun______(b,c),tptp_fun______(b,a))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(50,plain,
tptp_fun____(tptp_fun______(b,a),tptp_fun______(tptp_fun______(b,a),tptp_fun______(b,c))) = tptp_fun____(tptp_fun______(b,c),tptp_fun______(tptp_fun______(b,c),tptp_fun______(b,a))),
inference(unit_resolution,[status(thm)],[49,7]) ).
tff(51,plain,
tptp_fun____(tptp_fun______(b,c),tptp_fun______(tptp_fun______(b,c),tptp_fun______(b,a))) = tptp_fun____(tptp_fun______(b,a),tptp_fun______(tptp_fun______(b,a),tptp_fun______(b,c))),
inference(symmetry,[status(thm)],[50]) ).
tff(52,plain,
( ~ ! [A: $i,B: $i] : ( tptp_fun____(A,B) = tptp_fun____(B,A) )
| ( tptp_fun____(tptp_fun______(b,c),b) = tptp_fun____(b,tptp_fun______(b,c)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(53,plain,
tptp_fun____(tptp_fun______(b,c),b) = tptp_fun____(b,tptp_fun______(b,c)),
inference(unit_resolution,[status(thm)],[52,37]) ).
tff(54,plain,
tptp_fun______(tptp_fun____(tptp_fun______(b,c),b),a) = tptp_fun______(tptp_fun____(b,tptp_fun______(b,c)),a),
inference(monotonicity,[status(thm)],[53]) ).
tff(55,plain,
( ~ ! [A: $i,B: $i,C: $i] : ( tptp_fun______(tptp_fun____(A,B),C) = tptp_fun______(A,tptp_fun______(B,C)) )
| ( tptp_fun______(tptp_fun____(tptp_fun______(b,c),b),a) = tptp_fun______(tptp_fun______(b,c),tptp_fun______(b,a)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(56,plain,
tptp_fun______(tptp_fun____(tptp_fun______(b,c),b),a) = tptp_fun______(tptp_fun______(b,c),tptp_fun______(b,a)),
inference(unit_resolution,[status(thm)],[55,26]) ).
tff(57,plain,
tptp_fun______(tptp_fun______(b,c),tptp_fun______(b,a)) = tptp_fun______(tptp_fun____(tptp_fun______(b,c),b),a),
inference(symmetry,[status(thm)],[56]) ).
tff(58,plain,
tptp_fun______(tptp_fun______(b,c),tptp_fun______(b,a)) = tptp_fun______(tptp_fun____(b,tptp_fun______(b,c)),a),
inference(transitivity,[status(thm)],[57,54]) ).
tff(59,plain,
tptp_fun____(tptp_fun______(b,c),tptp_fun______(tptp_fun______(b,c),tptp_fun______(b,a))) = tptp_fun____(tptp_fun______(b,c),tptp_fun______(tptp_fun____(b,tptp_fun______(b,c)),a)),
inference(monotonicity,[status(thm)],[58]) ).
tff(60,plain,
tptp_fun____(tptp_fun______(b,c),tptp_fun______(tptp_fun____(b,tptp_fun______(b,c)),a)) = tptp_fun____(tptp_fun______(b,c),tptp_fun______(tptp_fun______(b,c),tptp_fun______(b,a))),
inference(symmetry,[status(thm)],[59]) ).
tff(61,plain,
tptp_fun____(tptp_fun______(b,c),tptp_fun______(tptp_fun____(b,tptp_fun______(b,c)),a)) = tptp_fun____(tptp_fun______(b,a),tptp_fun______(a,tptp_fun______(tptp_fun______(a,b),c))),
inference(transitivity,[status(thm)],[60,51,48]) ).
tff(62,plain,
tptp_fun____(b,tptp_fun____(tptp_fun______(b,c),tptp_fun______(tptp_fun____(b,tptp_fun______(b,c)),a))) = tptp_fun____(b,tptp_fun____(tptp_fun______(b,a),tptp_fun______(a,tptp_fun______(tptp_fun______(a,b),c)))),
inference(monotonicity,[status(thm)],[61]) ).
tff(63,plain,
tptp_fun____(b,tptp_fun____(tptp_fun______(b,a),tptp_fun______(a,tptp_fun______(tptp_fun______(a,b),c)))) = tptp_fun____(b,tptp_fun____(tptp_fun______(b,c),tptp_fun______(tptp_fun____(b,tptp_fun______(b,c)),a))),
inference(symmetry,[status(thm)],[62]) ).
tff(64,plain,
( ~ ! [A: $i,B: $i,C: $i] : ( tptp_fun____(tptp_fun____(A,B),C) = tptp_fun____(A,tptp_fun____(B,C)) )
| ( tptp_fun____(tptp_fun____(b,tptp_fun______(b,a)),tptp_fun______(a,tptp_fun______(tptp_fun______(a,b),c))) = tptp_fun____(b,tptp_fun____(tptp_fun______(b,a),tptp_fun______(a,tptp_fun______(tptp_fun______(a,b),c)))) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(65,plain,
tptp_fun____(tptp_fun____(b,tptp_fun______(b,a)),tptp_fun______(a,tptp_fun______(tptp_fun______(a,b),c))) = tptp_fun____(b,tptp_fun____(tptp_fun______(b,a),tptp_fun______(a,tptp_fun______(tptp_fun______(a,b),c)))),
inference(unit_resolution,[status(thm)],[64,16]) ).
tff(66,plain,
tptp_fun____(tptp_fun____(b,tptp_fun______(b,a)),tptp_fun______(a,tptp_fun______(tptp_fun______(a,b),c))) = tptp_fun____(tptp_fun____(a,tptp_fun______(a,b)),tptp_fun______(tptp_fun____(a,tptp_fun______(a,b)),c)),
inference(monotonicity,[status(thm)],[30,45]) ).
tff(67,plain,
tptp_fun____(tptp_fun____(a,tptp_fun______(a,b)),tptp_fun______(tptp_fun____(a,tptp_fun______(a,b)),c)) = tptp_fun____(tptp_fun____(b,tptp_fun______(b,a)),tptp_fun______(a,tptp_fun______(tptp_fun______(a,b),c))),
inference(symmetry,[status(thm)],[66]) ).
tff(68,plain,
tptp_fun____(tptp_fun____(a,tptp_fun______(a,b)),tptp_fun______(tptp_fun____(a,tptp_fun______(a,b)),c)) = tptp_fun____(a,tptp_fun______(a,tptp_fun____(b,tptp_fun______(b,c)))),
inference(transitivity,[status(thm)],[67,65,63,19,9]) ).
tff(69,plain,
( ( tptp_fun____(tptp_fun____(a,tptp_fun______(a,b)),tptp_fun______(tptp_fun____(a,tptp_fun______(a,b)),c)) != tptp_fun____(a,tptp_fun______(a,tptp_fun____(b,tptp_fun______(b,c)))) )
<=> ( tptp_fun____(tptp_fun____(a,tptp_fun______(a,b)),tptp_fun______(tptp_fun____(a,tptp_fun______(a,b)),c)) != tptp_fun____(a,tptp_fun______(a,tptp_fun____(b,tptp_fun______(b,c)))) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(70,axiom,
tptp_fun____(tptp_fun____(a,tptp_fun______(a,b)),tptp_fun______(tptp_fun____(a,tptp_fun______(a,b)),c)) != tptp_fun____(a,tptp_fun______(a,tptp_fun____(b,tptp_fun______(b,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_09) ).
tff(71,plain,
tptp_fun____(tptp_fun____(a,tptp_fun______(a,b)),tptp_fun______(tptp_fun____(a,tptp_fun______(a,b)),c)) != tptp_fun____(a,tptp_fun______(a,tptp_fun____(b,tptp_fun______(b,c)))),
inference(modus_ponens,[status(thm)],[70,69]) ).
tff(72,plain,
$false,
inference(unit_resolution,[status(thm)],[71,68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL897+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 15:08:37 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.42 % SZS status Theorem
% 0.09/0.42 % SZS output start Proof
% See solution above
% 0.09/0.44 % E exiting
%------------------------------------------------------------------------------