%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN645-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 : Fri Sep 25 03:41:17 PM UTC 2026
% Result : Unsatisfiable 0.90s 1.30s
% Output : CNFRefutation 4.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 50 ( 17 unt; 0 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 181 ( 84 ~; 97 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-5 aty)
% Number of variables : 108 ( 0 sgn 108 !; 0 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_1) ).
fof(f7,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_7) ).
fof(f9,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_9) ).
fof(f16,negated_conjecture,
! [X2,X0,X1] :
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_16) ).
fof(f22,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_22) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p12(X3,X0)
| ~ p25(X3,X2)
| ~ p12(X2,X1)
| p25(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_23) ).
fof(f32,negated_conjecture,
~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f17_is_not_p24_32) ).
fof(f33,negated_conjecture,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_33) ).
fof(f37,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p23(X4,f8(f10(X1,f11(X2,X3))))
| ~ p22(f3(f4(f5(c26))),X2)
| p25(f13(f14(X0,f16(f10(X1,f11(X2,X3)),c32,X0))),f13(f14(X0,X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_37) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p23(X0,f8(f10(X1,f11(X2,X3))))
| ~ p22(f3(f4(f5(c26))),X2)
| p24(f17(f10(X1,f11(X2,X3)),f16(f10(X1,f11(X2,X3)),c32,X4)))
| p23(f21(X1,X2,X3,X4,X0),f8(f10(X1,f11(X2,X3))))
| p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_41) ).
fof(f42,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p25(f13(f14(X4,X0)),f13(f14(X4,f21(X1,X2,X3,X4,X0))))
| ~ p23(X0,f8(f10(X1,f11(X2,X3))))
| ~ p22(f3(f4(f5(c26))),X2)
| p24(f17(f10(X1,f11(X2,X3)),f16(f10(X1,f11(X2,X3)),c32,X4)))
| p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_42) ).
tcf(c_91,negated_conjecture,
! [X0: $i] : p12(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_97,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
inference(cnf_transformation,[],[f7]) ).
tcf(c_99,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))),
inference(cnf_transformation,[],[f9]) ).
tcf(c_106,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p12(X1,X2)
| ~ p12(X0,X2)
| ~ p12(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_112,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
inference(cnf_transformation,[],[f22]) ).
tcf(c_113,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p25(X3,X1)
| ~ p25(X2,X0)
| ~ p12(X2,X3)
| ~ p12(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_122,negated_conjecture,
~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
inference(cnf_transformation,[],[f32]) ).
tcf(c_123,negated_conjecture,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
inference(cnf_transformation,[],[f33]) ).
tcf(c_127,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p25(f13(f14(X4,f16(f10(X1,f11(X2,X3)),c32,X4))),f13(f14(X4,X0)))
| ~ p22(f3(f4(f5(c26))),X2)
| ~ p23(X0,f8(f10(X1,f11(X2,X3)))) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_131,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4))
| p23(f21(X1,X2,X3,X4,X0),f8(f10(X1,f11(X2,X3))))
| p24(f17(f10(X1,f11(X2,X3)),f16(f10(X1,f11(X2,X3)),c32,X4)))
| ~ p22(f3(f4(f5(c26))),X2)
| ~ p23(X0,f8(f10(X1,f11(X2,X3)))) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_132,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p12(X1,f16(f10(X2,f11(X3,X4)),c32,X0))
| p24(f17(f10(X2,f11(X3,X4)),f16(f10(X2,f11(X3,X4)),c32,X0)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| ~ p25(f13(f14(X0,X1)),f13(f14(X0,f21(X2,X3,X4,X0,X1)))) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_383,negated_conjecture,
! [X0_iProver_p12_2: iProver_p12_2,X0_iProver_f21_3: iProver_f21_3,X1_iProver_p12_2: iProver_p12_2,X1_iProver_f21_3: iProver_f21_3,X2_iProver_f21_3: iProver_f21_3] :
( p12(X1_iProver_p12_2,f16(f10(X0_iProver_f21_3,f11(X1_iProver_f21_3,X2_iProver_f21_3)),c32,X0_iProver_p12_2))
| p24(f17(f10(X0_iProver_f21_3,f11(X1_iProver_f21_3,X2_iProver_f21_3)),f16(f10(X0_iProver_f21_3,f11(X1_iProver_f21_3,X2_iProver_f21_3)),c32,X0_iProver_p12_2)))
| ~ p22(f3(f4(f5(c26))),X1_iProver_f21_3)
| ~ p23(X1_iProver_p12_2,f8(f10(X0_iProver_f21_3,f11(X1_iProver_f21_3,X2_iProver_f21_3))))
| ~ p25(f13(f14(X0_iProver_p12_2,X1_iProver_p12_2)),f13(f14(X0_iProver_p12_2,f21(X0_iProver_f21_3,X1_iProver_f21_3,X2_iProver_f21_3,X0_iProver_p12_2,X1_iProver_p12_2)))) ),
inference(subtyping,[status(esa)],[c_132]) ).
tcf(c_384,negated_conjecture,
! [X0_iProver_p12_2: iProver_p12_2,X0_iProver_f21_3: iProver_f21_3,X1_iProver_p12_2: iProver_p12_2,X1_iProver_f21_3: iProver_f21_3,X2_iProver_f21_3: iProver_f21_3] :
( p12(X0_iProver_p12_2,f16(f10(X0_iProver_f21_3,f11(X1_iProver_f21_3,X2_iProver_f21_3)),c32,X1_iProver_p12_2))
| p23(f21(X0_iProver_f21_3,X1_iProver_f21_3,X2_iProver_f21_3,X1_iProver_p12_2,X0_iProver_p12_2),f8(f10(X0_iProver_f21_3,f11(X1_iProver_f21_3,X2_iProver_f21_3))))
| p24(f17(f10(X0_iProver_f21_3,f11(X1_iProver_f21_3,X2_iProver_f21_3)),f16(f10(X0_iProver_f21_3,f11(X1_iProver_f21_3,X2_iProver_f21_3)),c32,X1_iProver_p12_2)))
| ~ p22(f3(f4(f5(c26))),X1_iProver_f21_3)
| ~ p23(X0_iProver_p12_2,f8(f10(X0_iProver_f21_3,f11(X1_iProver_f21_3,X2_iProver_f21_3)))) ),
inference(subtyping,[status(esa)],[c_131]) ).
tcf(c_388,negated_conjecture,
! [X0_iProver_p12_2: iProver_p12_2,X0_iProver_f21_3: iProver_f21_3,X1_iProver_p12_2: iProver_p12_2,X1_iProver_f21_3: iProver_f21_3,X2_iProver_f21_3: iProver_f21_3] :
( p25(f13(f14(X1_iProver_p12_2,f16(f10(X0_iProver_f21_3,f11(X1_iProver_f21_3,X2_iProver_f21_3)),c32,X1_iProver_p12_2))),f13(f14(X1_iProver_p12_2,X0_iProver_p12_2)))
| ~ p22(f3(f4(f5(c26))),X1_iProver_f21_3)
| ~ p23(X0_iProver_p12_2,f8(f10(X0_iProver_f21_3,f11(X1_iProver_f21_3,X2_iProver_f21_3)))) ),
inference(subtyping,[status(esa)],[c_127]) ).
tcf(c_401,negated_conjecture,
! [X0_iProver_p12_2: iProver_p12_2,X1_iProver_p12_2: iProver_p12_2,X2_iProver_p12_2: iProver_p12_2,X3_iProver_p12_2: iProver_p12_2] :
( p25(X1_iProver_p12_2,X3_iProver_p12_2)
| ~ p25(X0_iProver_p12_2,X2_iProver_p12_2)
| ~ p12(X2_iProver_p12_2,X3_iProver_p12_2)
| ~ p12(X0_iProver_p12_2,X1_iProver_p12_2) ),
inference(subtyping,[status(esa)],[c_113]) ).
tcf(c_408,negated_conjecture,
! [X0_iProver_p12_2: iProver_p12_2,X1_iProver_p12_2: iProver_p12_2,X2_iProver_p12_2: iProver_p12_2] :
( p12(X1_iProver_p12_2,X2_iProver_p12_2)
| ~ p12(X0_iProver_p12_2,X2_iProver_p12_2)
| ~ p12(X0_iProver_p12_2,X1_iProver_p12_2) ),
inference(subtyping,[status(esa)],[c_106]) ).
tcf(c_423,negated_conjecture,
! [X0_iProver_p12_2: iProver_p12_2] : p12(X0_iProver_p12_2,X0_iProver_p12_2),
inference(subtyping,[status(esa)],[c_91]) ).
tcf(c_450,plain,
! [X0_iProver_p12_2: iProver_p12_2,X0_iProver_f21_3: iProver_f21_3,X1_iProver_p12_2: iProver_p12_2,X1_iProver_f21_3: iProver_f21_3] :
( p12(X0_iProver_p12_2,f16(f10(X0_iProver_f21_3,f11(c27,X1_iProver_f21_3)),c32,X1_iProver_p12_2))
| p23(f21(X0_iProver_f21_3,c27,X1_iProver_f21_3,X1_iProver_p12_2,X0_iProver_p12_2),f8(f10(X0_iProver_f21_3,f11(c27,X1_iProver_f21_3))))
| p24(f17(f10(X0_iProver_f21_3,f11(c27,X1_iProver_f21_3)),f16(f10(X0_iProver_f21_3,f11(c27,X1_iProver_f21_3)),c32,X1_iProver_p12_2)))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(X0_iProver_p12_2,f8(f10(X0_iProver_f21_3,f11(c27,X1_iProver_f21_3)))) ),
inference(instantiation,[status(thm)],[c_384]) ).
tcf(c_451,plain,
! [X0_iProver_p12_2: iProver_p12_2,X0_iProver_f21_3: iProver_f21_3,X1_iProver_p12_2: iProver_p12_2,X1_iProver_f21_3: iProver_f21_3] :
( p12(X1_iProver_p12_2,f16(f10(X0_iProver_f21_3,f11(c27,X1_iProver_f21_3)),c32,X0_iProver_p12_2))
| p24(f17(f10(X0_iProver_f21_3,f11(c27,X1_iProver_f21_3)),f16(f10(X0_iProver_f21_3,f11(c27,X1_iProver_f21_3)),c32,X0_iProver_p12_2)))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(X1_iProver_p12_2,f8(f10(X0_iProver_f21_3,f11(c27,X1_iProver_f21_3))))
| ~ p25(f13(f14(X0_iProver_p12_2,X1_iProver_p12_2)),f13(f14(X0_iProver_p12_2,f21(X0_iProver_f21_3,c27,X1_iProver_f21_3,X0_iProver_p12_2,X1_iProver_p12_2)))) ),
inference(instantiation,[status(thm)],[c_383]) ).
tcf(c_462,plain,
! [X0_iProver_p12_2: iProver_p12_2,X0_iProver_f21_3: iProver_f21_3,X1_iProver_p12_2: iProver_p12_2,X1_iProver_f21_3: iProver_f21_3] :
( p25(f13(f14(X1_iProver_p12_2,f16(f10(X0_iProver_f21_3,f11(c27,X1_iProver_f21_3)),c32,X1_iProver_p12_2))),f13(f14(X1_iProver_p12_2,X0_iProver_p12_2)))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(X0_iProver_p12_2,f8(f10(X0_iProver_f21_3,f11(c27,X1_iProver_f21_3)))) ),
inference(instantiation,[status(thm)],[c_388]) ).
tcf(c_484,plain,
! [X0_iProver_p12_2: iProver_p12_2] :
( p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0_iProver_p12_2))
| p23(f21(c29,c27,c30,X0_iProver_p12_2,c28),f8(f10(c29,f11(c27,c30))))
| p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,X0_iProver_p12_2)))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(c28,f8(f10(c29,f11(c27,c30)))) ),
inference(instantiation,[status(thm)],[c_450]) ).
tcf(c_485,plain,
( p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))
| p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30))))
| p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31)))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(c28,f8(f10(c29,f11(c27,c30)))) ),
inference(instantiation,[status(thm)],[c_484]) ).
tcf(c_512,plain,
! [X0_iProver_p12_2: iProver_p12_2,X0_iProver_f21_3: iProver_f21_3,X1_iProver_p12_2: iProver_p12_2,X1_iProver_f21_3: iProver_f21_3,X2_iProver_p12_2: iProver_p12_2] :
( p12(f13(f14(X1_iProver_p12_2,f16(f10(X0_iProver_f21_3,f11(c27,X1_iProver_f21_3)),c32,X1_iProver_p12_2))),X2_iProver_p12_2)
| ~ p12(X0_iProver_p12_2,X2_iProver_p12_2)
| ~ p12(X0_iProver_p12_2,f13(f14(X1_iProver_p12_2,f16(f10(X0_iProver_f21_3,f11(c27,X1_iProver_f21_3)),c32,X1_iProver_p12_2)))) ),
inference(instantiation,[status(thm)],[c_408]) ).
tcf(c_520,plain,
! [X0_iProver_p12_2: iProver_p12_2,X1_iProver_p12_2: iProver_p12_2] :
( p25(f13(f14(X1_iProver_p12_2,f16(f10(c29,f11(c27,c30)),c32,X1_iProver_p12_2))),f13(f14(X1_iProver_p12_2,f21(c29,c27,c30,X0_iProver_p12_2,c28))))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(f21(c29,c27,c30,X0_iProver_p12_2,c28),f8(f10(c29,f11(c27,c30)))) ),
inference(instantiation,[status(thm)],[c_462]) ).
tcf(c_521,plain,
( p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,f21(c29,c27,c30,c31,c28))))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))) ),
inference(instantiation,[status(thm)],[c_520]) ).
tcf(c_537,plain,
! [X0_iProver_p12_2: iProver_p12_2] :
( p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),X0_iProver_p12_2)
| ~ p12(f13(f14(c31,c28)),X0_iProver_p12_2)
| ~ p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))) ),
inference(instantiation,[status(thm)],[c_512]) ).
tcf(c_555,plain,
! [X0_iProver_p12_2: iProver_p12_2,X1_iProver_p12_2: iProver_p12_2,X2_iProver_p12_2: iProver_p12_2,X3_iProver_p12_2: iProver_p12_2] :
( p25(X2_iProver_p12_2,X3_iProver_p12_2)
| ~ p12(f13(f14(X0_iProver_p12_2,f21(c29,c27,c30,X1_iProver_p12_2,c28))),X3_iProver_p12_2)
| ~ p12(f13(f14(X0_iProver_p12_2,f16(f10(c29,f11(c27,c30)),c32,X0_iProver_p12_2))),X2_iProver_p12_2)
| ~ p25(f13(f14(X0_iProver_p12_2,f16(f10(c29,f11(c27,c30)),c32,X0_iProver_p12_2))),f13(f14(X0_iProver_p12_2,f21(c29,c27,c30,X1_iProver_p12_2,c28)))) ),
inference(instantiation,[status(thm)],[c_401]) ).
tcf(c_609,plain,
! [X0_iProver_p12_2: iProver_p12_2] :
( p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(X0_iProver_p12_2))
| ~ p12(f13(f14(c31,c28)),f13(X0_iProver_p12_2))
| ~ p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))) ),
inference(instantiation,[status(thm)],[c_537]) ).
tcf(c_672,plain,
! [X0_iProver_p12_2: iProver_p12_2,X1_iProver_p12_2: iProver_p12_2,X2_iProver_p12_2: iProver_p12_2,X3_iProver_p12_2: iProver_p12_2] :
( p25(X2_iProver_p12_2,f13(X3_iProver_p12_2))
| ~ p12(f13(f14(X0_iProver_p12_2,f21(c29,c27,c30,X1_iProver_p12_2,c28))),f13(X3_iProver_p12_2))
| ~ p12(f13(f14(X0_iProver_p12_2,f16(f10(c29,f11(c27,c30)),c32,X0_iProver_p12_2))),X2_iProver_p12_2)
| ~ p25(f13(f14(X0_iProver_p12_2,f16(f10(c29,f11(c27,c30)),c32,X0_iProver_p12_2))),f13(f14(X0_iProver_p12_2,f21(c29,c27,c30,X1_iProver_p12_2,c28)))) ),
inference(instantiation,[status(thm)],[c_555]) ).
tcf(c_750,plain,
( p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28)))
| ~ p12(f13(f14(c31,c28)),f13(f14(c31,c28)))
| ~ p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))) ),
inference(instantiation,[status(thm)],[c_609]) ).
tcf(c_895,plain,
! [X0_iProver_p12_2: iProver_p12_2,X1_iProver_p12_2: iProver_p12_2,X2_iProver_p12_2: iProver_p12_2] :
( p25(X2_iProver_p12_2,f13(f14(X0_iProver_p12_2,f21(c29,c27,c30,X1_iProver_p12_2,c28))))
| ~ p12(f13(f14(X0_iProver_p12_2,f16(f10(c29,f11(c27,c30)),c32,X0_iProver_p12_2))),X2_iProver_p12_2)
| ~ p12(f13(f14(X0_iProver_p12_2,f21(c29,c27,c30,X1_iProver_p12_2,c28))),f13(f14(X0_iProver_p12_2,f21(c29,c27,c30,X1_iProver_p12_2,c28))))
| ~ p25(f13(f14(X0_iProver_p12_2,f16(f10(c29,f11(c27,c30)),c32,X0_iProver_p12_2))),f13(f14(X0_iProver_p12_2,f21(c29,c27,c30,X1_iProver_p12_2,c28)))) ),
inference(instantiation,[status(thm)],[c_672]) ).
tcf(c_946,plain,
p12(f13(f14(c31,c28)),f13(f14(c31,c28))),
inference(instantiation,[status(thm)],[c_423]) ).
tcf(c_1198,plain,
! [X0_iProver_p12_2: iProver_p12_2,X1_iProver_p12_2: iProver_p12_2] : p12(f13(f14(X0_iProver_p12_2,f21(c29,c27,c30,X1_iProver_p12_2,c28))),f13(f14(X0_iProver_p12_2,f21(c29,c27,c30,X1_iProver_p12_2,c28)))),
inference(instantiation,[status(thm)],[c_423]) ).
tcf(c_1199,plain,
p12(f13(f14(c31,f21(c29,c27,c30,c31,c28))),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
inference(instantiation,[status(thm)],[c_1198]) ).
tcf(c_1423,plain,
! [X0_iProver_p12_2: iProver_p12_2,X1_iProver_p12_2: iProver_p12_2,X2_iProver_p12_2: iProver_p12_2] :
( p25(f13(X2_iProver_p12_2),f13(f14(X0_iProver_p12_2,f21(c29,c27,c30,X1_iProver_p12_2,c28))))
| ~ p12(f13(f14(X0_iProver_p12_2,f16(f10(c29,f11(c27,c30)),c32,X0_iProver_p12_2))),f13(X2_iProver_p12_2))
| ~ p12(f13(f14(X0_iProver_p12_2,f21(c29,c27,c30,X1_iProver_p12_2,c28))),f13(f14(X0_iProver_p12_2,f21(c29,c27,c30,X1_iProver_p12_2,c28))))
| ~ p25(f13(f14(X0_iProver_p12_2,f16(f10(c29,f11(c27,c30)),c32,X0_iProver_p12_2))),f13(f14(X0_iProver_p12_2,f21(c29,c27,c30,X1_iProver_p12_2,c28)))) ),
inference(instantiation,[status(thm)],[c_895]) ).
tcf(c_2254,plain,
! [X0_iProver_p12_2: iProver_p12_2] :
( p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,X0_iProver_p12_2,c28))))
| ~ p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28)))
| ~ p12(f13(f14(c31,f21(c29,c27,c30,X0_iProver_p12_2,c28))),f13(f14(c31,f21(c29,c27,c30,X0_iProver_p12_2,c28))))
| ~ p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,f21(c29,c27,c30,X0_iProver_p12_2,c28)))) ),
inference(instantiation,[status(thm)],[c_1423]) ).
tcf(c_2255,plain,
( p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28))))
| ~ p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28)))
| ~ p12(f13(f14(c31,f21(c29,c27,c30,c31,c28))),f13(f14(c31,f21(c29,c27,c30,c31,c28))))
| ~ p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,f21(c29,c27,c30,c31,c28)))) ),
inference(instantiation,[status(thm)],[c_2254]) ).
tcf(c_3349,plain,
( p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))
| p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31)))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(c28,f8(f10(c29,f11(c27,c30))))
| ~ p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28)))) ),
inference(instantiation,[status(thm)],[c_451]) ).
tcf(c_3350,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3349,c_2255,c_1199,c_946,c_750,c_521,c_485,c_122,c_123,c_112,c_99,c_97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN645-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 01:59:24 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 0.90/1.30 % SZS status Started for theBenchmark.p
% 0.90/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 0.90/1.30
% 0.90/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.90/1.30
% 0.90/1.30 % ------ iProver source info
% 0.90/1.30
% 0.90/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 0.90/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.90/1.30 % git: non_committed_changes: false
% 0.90/1.30
% 0.90/1.30 % ------ Parsing...% successful
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.90/1.30
% 0.90/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.90/1.30
% 0.90/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.90/1.30 % ------ Proving...
% 0.90/1.30 % ------ Problem Properties
% 0.90/1.30
% 0.90/1.30 %
% 0.90/1.30 % clauses 42
% 0.90/1.30 % conjectures 42
% 0.90/1.30 % EPR 16
% 0.90/1.30 % Horn 39
% 0.90/1.30 % unary 11
% 0.90/1.30 % binary 8
% 0.90/1.30 % lits 111
% 0.90/1.30 % lits eq 0
% 0.90/1.30 % fd_pure 0
% 0.90/1.30 % fd_pseudo 0
% 0.90/1.30 % fd_cond 0
% 0.90/1.30 % fd_pseudo_cond 0
% 0.90/1.30 % AC symbols 0
% 0.90/1.30
% 0.90/1.30 % ------ Input Options Time Limit: Unbounded
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30 % ------
% 0.90/1.30 % Current options:
% 0.90/1.30 % ------
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30 %
% 0.90/1.30
% 0.90/1.30 % ------ Proving...
% 0.90/1.30 %
% 0.90/1.30
% 0.90/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 0.90/1.30
% 0.90/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.59/1.30
% 4.59/1.30
%------------------------------------------------------------------------------