%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN645-1 : 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 : n019.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 09:18:03 AM UTC 2026
% Result : Unsatisfiable 12.80s 9.37s
% Output : Refutation 13.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 42
% Syntax : Number of formulae : 85 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 223 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1290 ( 134 ~; 138 |; 0 &;1018 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 31 usr; 8 con; 0-5 aty)
% Number of variables : 246 ( 0 ^; 246 !; 0 ?; 246 :)
% Comments :
%------------------------------------------------------------------------------
thf(p12_decl,type,
p12: $i > $i > $o ).
thf(p9_decl,type,
p9: $i > $i > $o ).
thf(p7_decl,type,
p7: $i > $i > $o ).
thf(p6_decl,type,
p6: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $i > $o ).
thf(p15_decl,type,
p15: $i > $i > $o ).
thf(p22_decl,type,
p22: $i > $i > $o ).
thf(f3_decl,type,
f3: $i > $i ).
thf(f4_decl,type,
f4: $i > $i ).
thf(f5_decl,type,
f5: $i > $i ).
thf(c26_decl,type,
c26: $i ).
thf(c27_decl,type,
c27: $i ).
thf(p24_decl,type,
p24: $i > $o ).
thf(p23_decl,type,
p23: $i > $i > $o ).
thf(c28_decl,type,
c28: $i ).
thf(f8_decl,type,
f8: $i > $i ).
thf(f10_decl,type,
f10: $i > $i > $i ).
thf(c29_decl,type,
c29: $i ).
thf(f11_decl,type,
f11: $i > $i > $i ).
thf(c30_decl,type,
c30: $i ).
thf(f13_decl,type,
f13: $i > $i ).
thf(f19_decl,type,
f19: $i > $i ).
thf(f16_decl,type,
f16: $i > $i > $i > $i ).
thf(c32_decl,type,
c32: $i ).
thf(c31_decl,type,
c31: $i ).
thf(p25_decl,type,
p25: $i > $i > $o ).
thf(f14_decl,type,
f14: $i > $i > $i ).
thf(f17_decl,type,
f17: $i > $i > $i ).
thf(f20_decl,type,
f20: $i > $i > $i ).
thf(f18_decl,type,
f18: $i > $i > $i ).
thf(f21_decl,type,
f21: $i > $i > $i > $i > $i > $i ).
thf(32,negated_conjecture,
~ ( c31 @ ( c32 @ ( c30 @ ( c27 @ f11 ) @ ( c29 @ f10 ) @ f16 ) ) @ ( c30 @ ( c27 @ f11 ) @ ( c29 @ f10 ) @ f17 ) @ p24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f17_is_not_p24_32) ).
thf(69,plain,
~ ( c31 @ ( c32 @ ( c30 @ ( c27 @ f11 ) @ ( c29 @ f10 ) @ f16 ) ) @ ( c30 @ ( c27 @ f11 ) @ ( c29 @ f10 ) @ f17 ) @ p24 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(42,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ ( D @ ( C @ ( B @ f21 ) ) ) ) @ ( E @ f14 ) @ f13 @ ( A @ ( E @ f14 ) @ f13 @ p25 ) )
| ~ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f8 @ ( A @ p23 ) )
| ~ ( C @ ( c26 @ f5 @ f4 @ f3 @ p22 ) )
| ( E @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f17 ) @ p24 )
| ( E @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( A @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_42) ).
thf(56,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ ( D @ ( C @ ( B @ f21 ) ) ) ) @ ( E @ f14 ) @ f13 @ ( A @ ( E @ f14 ) @ f13 @ p25 ) )
| ~ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f8 @ ( A @ p23 ) )
| ~ ( C @ ( c26 @ f5 @ f4 @ f3 @ p22 ) )
| ( E @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f17 ) @ p24 )
| ( E @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( A @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(11,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p12 ) )
| ( B @ f13 @ ( A @ f13 @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_11) ).
thf(52,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p12 ) )
| ( B @ f13 @ ( A @ f13 @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(19,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_19) ).
thf(84,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p6 ) )
| ~ ( A @ ( C @ p6 ) )
| ( B @ ( A @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(20,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_20) ).
thf(60,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p2 ) )
| ~ ( A @ ( C @ p2 ) )
| ( B @ ( A @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(34,negated_conjecture,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( C @ p12 ) )
| ~ ( D @ ( A @ p6 ) )
| ~ ( E @ ( B @ p15 ) )
| ( F @ ( E @ ( D @ f16 ) ) @ ( C @ ( B @ ( A @ f16 ) ) @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_34) ).
thf(70,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( C @ p12 ) )
| ~ ( D @ ( A @ p6 ) )
| ~ ( E @ ( B @ p15 ) )
| ( F @ ( E @ ( D @ f16 ) ) @ ( C @ ( B @ ( A @ f16 ) ) @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(38,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( c26 @ f5 @ f4 @ f3 @ p22 ) )
| ( c26 @ f5 @ f4 @ f3 @ f19 @ ( A @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f20 ) @ f18 ) @ ( A @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( A @ f14 ) @ f13 @ p25 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_38) ).
thf(65,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( c26 @ f5 @ f4 @ f3 @ p22 ) )
| ( c26 @ f5 @ f4 @ f3 @ f19 @ ( A @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f20 ) @ f18 ) @ ( A @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( A @ f14 ) @ f13 @ p25 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(8,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p2 ) )
| ~ ( B @ p24 )
| ( A @ p24 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_8) ).
thf(53,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ p2 ) )
| ~ ( B @ p24 )
| ( A @ p24 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(16,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p12 ) )
| ~ ( A @ ( C @ p12 ) )
| ( B @ ( A @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_16) ).
thf(77,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p12 ) )
| ~ ( A @ ( C @ p12 ) )
| ( B @ ( A @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(7,negated_conjecture,
c27 @ ( c26 @ f5 @ f4 @ f3 @ p22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_7) ).
thf(73,plain,
c27 @ ( c26 @ f5 @ f4 @ f3 @ p22 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(13,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).
thf(66,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f3 @ ( A @ f3 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(26,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p12 ) )
| ~ ( C @ ( A @ p12 ) )
| ( D @ ( C @ f14 ) @ ( B @ ( A @ f14 ) @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_26) ).
thf(80,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p12 ) )
| ~ ( C @ ( A @ p12 ) )
| ( D @ ( C @ f14 ) @ ( B @ ( A @ f14 ) @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(15,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
thf(55,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f5 @ ( A @ f5 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(18,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_18) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p7 ) )
| ~ ( A @ ( C @ p7 ) )
| ( B @ ( A @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(40,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ ( D @ ( C @ ( B @ f21 ) ) ) ) @ ( E @ f14 ) @ f13 @ ( A @ ( E @ f14 ) @ f13 @ p25 ) )
| ~ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f8 @ ( A @ p23 ) )
| ~ ( A @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f17 ) @ p24 )
| ~ ( C @ ( c26 @ f5 @ f4 @ f3 @ p22 ) )
| ( E @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( A @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_40) ).
thf(79,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ ( D @ ( C @ ( B @ f21 ) ) ) ) @ ( E @ f14 ) @ f13 @ ( A @ ( E @ f14 ) @ f13 @ p25 ) )
| ~ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f8 @ ( A @ p23 ) )
| ~ ( A @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f17 ) @ p24 )
| ~ ( C @ ( c26 @ f5 @ f4 @ f3 @ p22 ) )
| ( E @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( A @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(30,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p6 ) )
| ~ ( D @ ( B @ p12 ) )
| ( D @ ( C @ f20 ) @ ( B @ ( A @ f20 ) @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_30) ).
thf(83,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p6 ) )
| ~ ( D @ ( B @ p12 ) )
| ( D @ ( C @ f20 ) @ ( B @ ( A @ f20 ) @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(1,negated_conjecture,
! [A: $i] : ( A @ ( A @ p12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_1) ).
thf(46,plain,
! [A: $i] : ( A @ ( A @ p12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(24,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p2 ) )
| ~ ( C @ ( D @ p22 ) )
| ~ ( B @ ( C @ p2 ) )
| ( B @ ( A @ p22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_24) ).
thf(57,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p2 ) )
| ~ ( C @ ( D @ p22 ) )
| ~ ( B @ ( C @ p2 ) )
| ( B @ ( A @ p22 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(31,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p12 ) )
| ~ ( C @ ( A @ p12 ) )
| ( D @ ( C @ f18 ) @ ( B @ ( A @ f18 ) @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_31) ).
thf(78,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p12 ) )
| ~ ( C @ ( A @ p12 ) )
| ( D @ ( C @ f18 ) @ ( B @ ( A @ f18 ) @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(29,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p6 ) )
| ~ ( D @ ( B @ p12 ) )
| ( D @ ( C @ f17 ) @ ( B @ ( A @ f17 ) @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_29) ).
thf(61,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ p6 ) )
| ~ ( D @ ( B @ p12 ) )
| ( D @ ( C @ f17 ) @ ( B @ ( A @ f17 ) @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(39,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f8 @ ( A @ p23 ) )
| ~ ( A @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f17 ) @ p24 )
| ~ ( C @ ( c26 @ f5 @ f4 @ f3 @ p22 ) )
| ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f8 @ ( A @ ( E @ ( D @ ( C @ ( B @ f21 ) ) ) ) @ p23 ) )
| ( E @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( A @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_39) ).
thf(74,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f8 @ ( A @ p23 ) )
| ~ ( A @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f17 ) @ p24 )
| ~ ( C @ ( c26 @ f5 @ f4 @ f3 @ p22 ) )
| ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f8 @ ( A @ ( E @ ( D @ ( C @ ( B @ f21 ) ) ) ) @ p23 ) )
| ( E @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( A @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(14,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
thf(45,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f4 @ ( A @ f4 @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(28,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_28) ).
thf(64,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p9 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f10 ) @ ( B @ ( A @ f10 ) @ p6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(10,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p6 ) )
| ( B @ f8 @ ( A @ f8 @ p7 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_10) ).
thf(44,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p6 ) )
| ( B @ f8 @ ( A @ f8 @ p7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(25,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ p12 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( D @ ( C @ p23 ) )
| ( B @ ( A @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_25) ).
thf(59,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ p12 ) )
| ~ ( B @ ( D @ p7 ) )
| ~ ( D @ ( C @ p23 ) )
| ( B @ ( A @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(22,negated_conjecture,
~ ( c31 @ ( c32 @ ( c30 @ ( c27 @ f11 ) @ ( c29 @ f10 ) @ f16 ) ) @ ( c28 @ p12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_22) ).
thf(71,plain,
~ ( c31 @ ( c32 @ ( c30 @ ( c27 @ f11 ) @ ( c29 @ f10 ) @ f16 ) ) @ ( c28 @ p12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(4,negated_conjecture,
! [A: $i] : ( A @ ( A @ p6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_4) ).
thf(54,plain,
! [A: $i] : ( A @ ( A @ p6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A @ ( A @ p9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
thf(49,plain,
! [A: $i] : ( A @ ( A @ p9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(23,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p12 ) )
| ~ ( C @ ( D @ p25 ) )
| ~ ( B @ ( C @ p12 ) )
| ( B @ ( A @ p25 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_23) ).
thf(81,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ p12 ) )
| ~ ( C @ ( D @ p25 ) )
| ~ ( B @ ( C @ p12 ) )
| ( B @ ( A @ p25 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(35,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( c26 @ f5 @ f4 @ f3 @ p22 ) )
| ( C @ ( B @ f11 ) @ ( A @ f10 ) @ f8 @ ( D @ ( c32 @ ( C @ ( B @ f11 ) @ ( A @ f10 ) @ f16 ) ) @ p23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_35) ).
thf(76,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( c26 @ f5 @ f4 @ f3 @ p22 ) )
| ( C @ ( B @ f11 ) @ ( A @ f10 ) @ f8 @ ( D @ ( c32 @ ( C @ ( B @ f11 ) @ ( A @ f10 ) @ f16 ) ) @ p23 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(9,negated_conjecture,
c30 @ ( c27 @ f11 ) @ ( c29 @ f10 ) @ f8 @ ( c28 @ p23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_9) ).
thf(48,plain,
c30 @ ( c27 @ f11 ) @ ( c29 @ f10 ) @ f8 @ ( c28 @ p23 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(33,negated_conjecture,
c31 @ ( c32 @ ( c30 @ ( c27 @ f11 ) @ ( c29 @ f10 ) @ f16 ) ) @ ( c31 @ f14 ) @ f13 @ ( c28 @ ( c31 @ f14 ) @ f13 @ p12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_33) ).
thf(63,plain,
c31 @ ( c32 @ ( c30 @ ( c27 @ f11 ) @ ( c29 @ f10 ) @ f16 ) ) @ ( c31 @ f14 ) @ f13 @ ( c28 @ ( c31 @ f14 ) @ f13 @ p12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(12,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f19 @ ( A @ f19 @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_12) ).
thf(50,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( A @ p2 ) )
| ( B @ f19 @ ( A @ f19 @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(41,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f8 @ ( A @ p23 ) )
| ~ ( C @ ( c26 @ f5 @ f4 @ f3 @ p22 ) )
| ( E @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f17 ) @ p24 )
| ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f8 @ ( A @ ( E @ ( D @ ( C @ ( B @ f21 ) ) ) ) @ p23 ) )
| ( E @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( A @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_41) ).
thf(67,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f8 @ ( A @ p23 ) )
| ~ ( C @ ( c26 @ f5 @ f4 @ f3 @ p22 ) )
| ( E @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f17 ) @ p24 )
| ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f8 @ ( A @ ( E @ ( D @ ( C @ ( B @ f21 ) ) ) ) @ p23 ) )
| ( E @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( A @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(27,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f11 ) @ ( B @ ( A @ f11 ) @ p9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_27) ).
thf(72,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ p2 ) )
| ~ ( C @ ( A @ p2 ) )
| ( D @ ( C @ f11 ) @ ( B @ ( A @ f11 ) @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(5,negated_conjecture,
! [A: $i] : ( A @ ( A @ p2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
thf(43,plain,
! [A: $i] : ( A @ ( A @ p2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,negated_conjecture,
! [A: $i] : ( A @ ( A @ p7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
thf(75,plain,
! [A: $i] : ( A @ ( A @ p7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(37,negated_conjecture,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f8 @ ( E @ p23 ) )
| ~ ( C @ ( c26 @ f5 @ f4 @ f3 @ p22 ) )
| ( E @ ( A @ f14 ) @ f13 @ ( A @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( A @ f14 ) @ f13 @ p25 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_37) ).
thf(58,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f8 @ ( E @ p23 ) )
| ~ ( C @ ( c26 @ f5 @ f4 @ f3 @ p22 ) )
| ( E @ ( A @ f14 ) @ f13 @ ( A @ ( c32 @ ( D @ ( C @ f11 ) @ ( B @ f10 ) @ f16 ) ) @ ( A @ f14 ) @ f13 @ p25 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(36,negated_conjecture,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( A @ p2 ) )
| ~ ( J @ ( E @ p12 ) )
| ~ ( I @ ( D @ p12 ) )
| ~ ( H @ ( C @ p2 ) )
| ~ ( G @ ( B @ p2 ) )
| ( J @ ( I @ ( H @ ( G @ ( F @ f21 ) ) ) ) @ ( E @ ( D @ ( C @ ( B @ ( A @ f21 ) ) ) ) @ p12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_36) ).
thf(82,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( A @ p2 ) )
| ~ ( J @ ( E @ p12 ) )
| ~ ( I @ ( D @ p12 ) )
| ~ ( H @ ( C @ p2 ) )
| ~ ( G @ ( B @ p2 ) )
| ( J @ ( I @ ( H @ ( G @ ( F @ f21 ) ) ) ) @ ( E @ ( D @ ( C @ ( B @ ( A @ f21 ) ) ) ) @ p12 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(6,negated_conjecture,
! [A: $i] : ( A @ ( A @ p15 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_6) ).
thf(47,plain,
! [A: $i] : ( A @ ( A @ p15 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_17) ).
thf(68,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p9 ) )
| ~ ( A @ ( C @ p9 ) )
| ( B @ ( A @ p9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(21,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p15 ) )
| ~ ( A @ ( C @ p15 ) )
| ( B @ ( A @ p15 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_21) ).
thf(62,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ p15 ) )
| ~ ( A @ ( C @ p15 ) )
| ( B @ ( A @ p15 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(403,plain,
$false,
inference(e,[status(thm)],[69,56,52,84,60,70,65,53,77,73,66,80,55,51,79,83,46,57,78,61,74,45,64,44,59,71,54,49,81,76,48,63,50,67,72,43,75,58,82,47,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN645-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % 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
% 0.15/5.40 % Computer : n019.cluster.edu
% 0.15/5.40 % Model : x86_64 x86_64
% 0.15/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.40 % Memory : 8046.5625MB
% 0.15/5.40 % OS : Linux 6.8.0-71-generic
% 0.15/5.40 % CPULimit : 300
% 0.15/5.40 % WCLimit : 300
% 0.15/5.40 % DateTime : Sat Sep 26 18:18:24 UTC 2026
% 0.15/5.41 % CPUTime :
% 0.15/5.41 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
% 0.18/5.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.44/6.21 % [INFO] Parsing done (213ms).
% 1.44/6.23 % [INFO] Running in sequential loop mode.
% 2.16/6.63 % [INFO] eprover registered as external prover.
% 2.16/6.64 % [INFO] Scanning for conjecture ...
% 2.56/6.84 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.78/6.97 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.78/6.97 % [INFO] Problem is propositional (TPTP CNF).
% 2.78/6.98 % [INFO] Type checking passed.
% 2.78/6.98 % [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 ...
% 12.80/9.37 % External prover 'e' found a proof!
% 12.80/9.37 % [INFO] Killing All external provers ...
% 12.80/9.37 % Time passed: 3823ms (effective reasoning time: 3140ms)
% 12.80/9.37 % Axioms used in derivation (0):
% 12.80/9.37 % No. of inferences in proof: 85
% 12.80/9.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3823 ms resp. 3140 ms w/o parsing
% 13.33/9.41 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.33/9.41 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------