%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN637-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n006.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 : Sun Sep 27 09:18:02 AM UTC 2026
% Result : Unsatisfiable 4.03s 2.33s
% Output : Refutation 4.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 41
% Syntax : Number of formulae : 83 ( 29 unt; 0 typ; 0 def)
% Number of atoms : 187 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 868 ( 110 ~; 104 |; 0 &; 654 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 29 usr; 7 con; 0-3 aty)
% Number of variables : 166 ( 0 ^; 166 !; 0 ?; 166 :)
% Comments :
%------------------------------------------------------------------------------
thf(p18_decl,type,
p18: $i > $i > $o ).
thf(p7_decl,type,
p7: $i > $i > $o ).
thf(p6_decl,type,
p6: $i > $i > $o ).
thf(p4_decl,type,
p4: $i > $i > $o ).
thf(p3_decl,type,
p3: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p20_decl,type,
p20: $i > $i > $o ).
thf(f12_decl,type,
f12: $i > $i ).
thf(c25_decl,type,
c25: $i ).
thf(c28_decl,type,
c28: $i ).
thf(f10_decl,type,
f10: $i > $i ).
thf(f13_decl,type,
f13: $i > $i ).
thf(c30_decl,type,
c30: $i ).
thf(p21_decl,type,
p21: $i > $i > $o ).
thf(f14_decl,type,
f14: $i > $i ).
thf(f15_decl,type,
f15: $i > $i ).
thf(f19_decl,type,
f19: $i > $i ).
thf(f16_decl,type,
f16: $i > $i ).
thf(f11_decl,type,
f11: $i > $i ).
thf(p22_decl,type,
p22: $i > $i > $o ).
thf(f5_decl,type,
f5: $i > $i > $i > $i ).
thf(c26_decl,type,
c26: $i ).
thf(c27_decl,type,
c27: $i ).
thf(c29_decl,type,
c29: $i ).
thf(p24_decl,type,
p24: $i > $i > $o ).
thf(p23_decl,type,
p23: $i > $i > $o ).
thf(f8_decl,type,
f8: $i > $i > $i ).
thf(f9_decl,type,
f9: $i > $i > $i ).
thf(f17_decl,type,
f17: $i > $i > $i ).
thf(22,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_22) ).
thf(69,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(37,negated_conjecture,
! [A: $i] :
( ~ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f19 @ ( A @ p24 ) )
| ~ ( A @ ( c27 @ p23 ) )
| ( A @ ( c29 @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_37) ).
thf(56,plain,
! [A: $i] :
( ~ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f19 @ ( A @ p24 ) )
| ~ ( A @ ( c27 @ p23 ) )
| ( A @ ( c29 @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_5) ).
thf(42,plain,
! [A: $i] : ( A @ ( A @ p3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,negated_conjecture,
~ ( c30 @ f13 @ ( c25 @ f10 @ p6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_8) ).
thf(52,plain,
~ ( c30 @ f13 @ ( c25 @ f10 @ p6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(21,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_21) ).
thf(60,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(27,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p21 ) )
| ~ ( B @ ( D @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p21 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_27) ).
thf(70,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p21 ) )
| ~ ( B @ ( D @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p21 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(41,negated_conjecture,
~ ( c27 @ ( c26 @ ( c25 @ f5 ) ) @ ( c27 @ f17 ) @ f16 @ ( c29 @ ( c26 @ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f5 ) ) @ ( c27 @ f17 ) @ f16 @ p22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p22_41) ).
thf(65,plain,
~ ( c27 @ ( c26 @ ( c25 @ f5 ) ) @ ( c27 @ f17 ) @ f16 @ ( c29 @ ( c26 @ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f5 ) ) @ ( c27 @ f17 ) @ f16 @ p22 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).
thf(53,plain,
! [A: $i] : ( A @ ( A @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(40,negated_conjecture,
c27 @ ( c26 @ ( c25 @ f5 ) ) @ ( c27 @ f17 ) @ f16 @ ( c27 @ ( c26 @ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f5 ) ) @ ( c27 @ f17 ) @ f16 @ p22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_40) ).
thf(77,plain,
c27 @ ( c26 @ ( c25 @ f5 ) ) @ ( c27 @ f17 ) @ f16 @ ( c27 @ ( c26 @ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f5 ) ) @ ( c27 @ f17 ) @ f16 @ p22 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_3) ).
thf(73,plain,
! [A: $i] : ( A @ ( A @ p6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(17,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p6 ) )
| ( B @ f14 @ ( A @ f14 @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_17) ).
thf(66,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p6 ) )
| ( B @ f14 @ ( A @ f14 @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(36,negated_conjecture,
! [A: $i] :
( ~ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f19 @ ( A @ p24 ) )
| ~ ( A @ ( c29 @ p23 ) )
| ( A @ ( c27 @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_36) ).
thf(80,plain,
! [A: $i] :
( ~ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f19 @ ( A @ p24 ) )
| ~ ( A @ ( c29 @ p23 ) )
| ( A @ ( c27 @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(24,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_24) ).
thf(55,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f19 @ ( A @ f19 @ p18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_11) ).
thf(51,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f19 @ ( A @ f19 @ p18 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(23,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_23) ).
thf(79,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p3 ) )
| ~ ( A @ ( C @ p3 ) )
| ( B @ ( A @ p3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
thf(46,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(25,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p18 ) )
| ~ ( A @ ( C @ p4 ) )
| ~ ( D @ ( C @ p24 ) )
| ( B @ ( A @ p24 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_25) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( D @ p18 ) )
| ~ ( A @ ( C @ p4 ) )
| ~ ( D @ ( C @ p24 ) )
| ( B @ ( A @ p24 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p20 ) )
| ~ ( B @ ( D @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_26) ).
thf(78,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p20 ) )
| ~ ( B @ ( D @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p20 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(33,negated_conjecture,
~ ( c27 @ ( c26 @ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f5 ) ) @ ( c27 @ ( c26 @ ( c25 @ f5 ) ) @ p4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_33) ).
thf(61,plain,
~ ( c27 @ ( c26 @ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f5 ) ) @ ( c27 @ ( c26 @ ( c25 @ f5 ) ) @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(35,negated_conjecture,
! [A: $i] :
( ~ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f19 @ ( A @ p24 ) )
| ~ ( c27 @ ( A @ p23 ) )
| ( c29 @ ( A @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_35) ).
thf(74,plain,
! [A: $i] :
( ~ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f19 @ ( A @ p24 ) )
| ~ ( c27 @ ( A @ p23 ) )
| ( c29 @ ( A @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_1) ).
thf(45,plain,
! [A: $i] : ( A @ ( A @ p18 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f10 @ ( A @ f10 @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_13) ).
thf(64,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f10 @ ( A @ f10 @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(14,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f11 @ ( A @ f11 @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_14) ).
thf(44,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f11 @ ( A @ f11 @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(29,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p23 ) )
| ~ ( B @ ( D @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_29) ).
thf(59,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p23 ) )
| ~ ( B @ ( D @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(7,negated_conjecture,
c28 @ ( c25 @ f12 @ p20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_7) ).
thf(71,plain,
c28 @ ( c25 @ f12 @ p20 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(15,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f12 @ ( A @ f12 @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_15) ).
thf(54,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f12 @ ( A @ f12 @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p4 ) )
| ( B @ f16 @ ( A @ f16 @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_12) ).
thf(49,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p4 ) )
| ( B @ f16 @ ( A @ f16 @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(30,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p7 ) )
| ~ ( C @ ( A @ p6 ) )
| ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_30) ).
thf(81,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p7 ) )
| ~ ( C @ ( A @ p6 ) )
| ( D @ ( C @ f8 ) @ ( B @ ( A @ f8 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(31,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p6 ) )
| ~ ( C @ ( A @ p6 ) )
| ( D @ ( C @ f9 ) @ ( B @ ( A @ f9 ) @ p7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_31) ).
thf(76,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p6 ) )
| ~ ( C @ ( A @ p6 ) )
| ( D @ ( C @ f9 ) @ ( B @ ( A @ f9 ) @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
thf(48,plain,
! [A: $i] : ( A @ ( A @ p7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(38,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( A @ p2 ) )
| ~ ( F @ ( C @ p4 ) )
| ~ ( E @ ( B @ p3 ) )
| ( F @ ( E @ ( D @ f5 ) ) @ ( C @ ( B @ ( A @ f5 ) ) @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_38) ).
thf(63,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( A @ p2 ) )
| ~ ( F @ ( C @ p4 ) )
| ~ ( E @ ( B @ p3 ) )
| ( F @ ( E @ ( D @ f5 ) ) @ ( C @ ( B @ ( A @ f5 ) ) @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(18,negated_conjecture,
c29 @ ( c26 @ ( c25 @ f5 ) ) @ ( c27 @ ( c26 @ ( c25 @ f5 ) ) @ p22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_18) ).
thf(50,plain,
c29 @ ( c26 @ ( c25 @ f5 ) ) @ ( c27 @ ( c26 @ ( c25 @ f5 ) ) @ p22 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(32,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p4 ) )
| ( D @ ( C @ f17 ) @ ( B @ ( A @ f17 ) @ p4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_32) ).
thf(67,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p4 ) )
| ~ ( C @ ( A @ p4 ) )
| ( D @ ( C @ f17 ) @ ( B @ ( A @ f17 ) @ p4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(39,negated_conjecture,
! [A: $i] : ( c29 @ ( A @ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f5 ) ) @ ( c27 @ ( A @ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f5 ) ) @ p4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_39) ).
thf(72,plain,
! [A: $i] : ( c29 @ ( A @ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f5 ) ) @ ( c27 @ ( A @ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f5 ) ) @ p4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p6 ) )
| ( B @ f15 @ ( A @ f15 @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_10) ).
thf(43,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p6 ) )
| ( B @ f15 @ ( A @ f15 @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(16,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p6 ) )
| ( B @ f13 @ ( A @ f13 @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_16) ).
thf(75,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p6 ) )
| ( B @ f13 @ ( A @ f13 @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(20,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_20) ).
thf(58,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(19,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p18 ) )
| ~ ( A @ ( C @ p18 ) )
| ( B @ ( A @ p18 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_19) ).
thf(82,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p18 ) )
| ~ ( A @ ( C @ p18 ) )
| ( B @ ( A @ p18 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(9,negated_conjecture,
c25 @ f10 @ ( c30 @ f15 @ f14 @ f13 @ p21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_9) ).
thf(47,plain,
c25 @ f10 @ ( c30 @ f15 @ f14 @ f13 @ p21 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(34,negated_conjecture,
! [A: $i] :
( ~ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f19 @ ( A @ p24 ) )
| ~ ( c29 @ ( A @ p23 ) )
| ( c27 @ ( A @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_34) ).
thf(68,plain,
! [A: $i] :
( ~ ( c28 @ ( c25 @ f10 @ f9 ) @ ( c25 @ f11 @ f8 ) @ f19 @ ( A @ p24 ) )
| ~ ( c29 @ ( A @ p23 ) )
| ( c27 @ ( A @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(28,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p22 ) )
| ~ ( B @ ( D @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_28) ).
thf(62,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ p22 ) )
| ~ ( B @ ( D @ p4 ) )
| ~ ( A @ ( C @ p4 ) )
| ( B @ ( A @ p22 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(116,plain,
$false,
inference(e,[status(thm)],[69,56,42,52,60,70,65,53,77,73,66,80,55,51,79,46,57,78,61,74,45,64,44,59,71,54,49,81,76,48,63,50,67,72,43,75,58,82,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN637-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 18:17:10 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.86/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/1.18 % [INFO] Parsing done (203ms).
% 1.25/1.19 % [INFO] Running in sequential loop mode.
% 1.84/1.59 % [INFO] eprover registered as external prover.
% 2.01/1.60 % [INFO] Scanning for conjecture ...
% 2.19/1.75 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.43/1.82 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.43/1.82 % [INFO] Problem is propositional (TPTP CNF).
% 2.43/1.82 % [INFO] Type checking passed.
% 2.43/1.82 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 4.03/2.32 % External prover 'e' found a proof!
% 4.03/2.32 % [INFO] Killing All external provers ...
% 4.03/2.32 % Time passed: 1799ms (effective reasoning time: 1125ms)
% 4.03/2.33 % Axioms used in derivation (0):
% 4.03/2.33 % No. of inferences in proof: 83
% 4.03/2.33 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1799 ms resp. 1125 ms w/o parsing
% 4.50/2.40 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.50/2.40 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------