%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN650-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 03:41:18 PM UTC 2026
% Result : Unsatisfiable 0.74s 6.32s
% Output : CNFRefutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 62 ( 22 unt; 0 def)
% Number of atoms : 173 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 209 ( 98 ~; 111 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 21 ( 21 usr; 7 con; 0-5 aty)
% Number of variables : 129 ( 0 sgn 129 !; 0 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p8(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_2) ).
fof(f8,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_8) ).
fof(f10,negated_conjecture,
p24(c33,f20(f11(c29,f12(c27,c30)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_10) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] :
( ~ p8(X2,X1)
| ~ p8(X2,X0)
| p8(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_18) ).
fof(f24,negated_conjecture,
~ p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_24) ).
fof(f25,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p25(X2,X3)
| ~ p8(X3,X1)
| ~ p8(X2,X0)
| p25(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_25) ).
fof(f34,negated_conjecture,
~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f18_is_not_p23_34) ).
fof(f35,negated_conjecture,
p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_35) ).
fof(f38,negated_conjecture,
p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_38) ).
fof(f40,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p24(X4,f20(f11(X1,f12(X2,X3))))
| ~ p22(f3(f4(f5(c26))),X2)
| p25(f16(f17(X0,f9(f11(X1,f12(X2,X3)),c31,X0))),f16(f17(X0,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_40) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p24(X0,f20(f11(X1,f12(X2,X3))))
| ~ p22(f3(f4(f5(c26))),X2)
| p23(f18(f11(X1,f12(X2,X3)),f9(f11(X1,f12(X2,X3)),c31,X4)))
| p24(f21(X1,X2,X3,X4,X0),f20(f11(X1,f12(X2,X3))))
| p8(X0,f9(f11(X1,f12(X2,X3)),c31,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_44) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p25(f16(f17(X4,X0)),f16(f17(X4,f21(X1,X2,X3,X4,X0))))
| ~ p24(X0,f20(f11(X1,f12(X2,X3))))
| ~ p22(f3(f4(f5(c26))),X2)
| p23(f18(f11(X1,f12(X2,X3)),f9(f11(X1,f12(X2,X3)),c31,X4)))
| p8(X0,f9(f11(X1,f12(X2,X3)),c31,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_45) ).
tcf(c_95,negated_conjecture,
! [X0: $i] : p8(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_101,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
inference(cnf_transformation,[],[f8]) ).
tcf(c_103,negated_conjecture,
p24(c33,f20(f11(c29,f12(c27,c30)))),
inference(cnf_transformation,[],[f10]) ).
tcf(c_111,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p8(X1,X2)
| ~ p8(X0,X2)
| ~ p8(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_117,negated_conjecture,
~ p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)),
inference(cnf_transformation,[],[f24]) ).
tcf(c_118,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p25(X1,X3)
| ~ p25(X0,X2)
| ~ p8(X2,X3)
| ~ p8(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_127,negated_conjecture,
~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))),
inference(cnf_transformation,[],[f34]) ).
tcf(c_128,negated_conjecture,
p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
inference(cnf_transformation,[],[f35]) ).
tcf(c_131,negated_conjecture,
p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
inference(cnf_transformation,[],[f38]) ).
tcf(c_133,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p25(f16(f17(X4,f9(f11(X1,f12(X2,X3)),c31,X4))),f16(f17(X4,X0)))
| ~ p22(f3(f4(f5(c26))),X2)
| ~ p24(X0,f20(f11(X1,f12(X2,X3)))) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_137,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p8(X0,f9(f11(X1,f12(X2,X3)),c31,X4))
| p24(f21(X1,X2,X3,X4,X0),f20(f11(X1,f12(X2,X3))))
| p23(f18(f11(X1,f12(X2,X3)),f9(f11(X1,f12(X2,X3)),c31,X4)))
| ~ p22(f3(f4(f5(c26))),X2)
| ~ p24(X0,f20(f11(X1,f12(X2,X3)))) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_138,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p8(X1,f9(f11(X2,f12(X3,X4)),c31,X0))
| p23(f18(f11(X2,f12(X3,X4)),f9(f11(X2,f12(X3,X4)),c31,X0)))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p24(X1,f20(f11(X2,f12(X3,X4))))
| ~ p25(f16(f17(X0,X1)),f16(f17(X0,f21(X2,X3,X4,X0,X1)))) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_394,negated_conjecture,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f12_1: iProver_f12_1,X1_iProver_f18_2: iProver_f18_2,X1_iProver_f12_1: iProver_f12_1,X2_iProver_f12_1: iProver_f12_1] :
( p8(X1_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(X1_iProver_f12_1,X2_iProver_f12_1)),c31,X0_iProver_f18_2))
| p23(f18(f11(X0_iProver_f12_1,f12(X1_iProver_f12_1,X2_iProver_f12_1)),f9(f11(X0_iProver_f12_1,f12(X1_iProver_f12_1,X2_iProver_f12_1)),c31,X0_iProver_f18_2)))
| ~ p22(f3(f4(f5(c26))),X1_iProver_f12_1)
| ~ p24(X1_iProver_f18_2,f20(f11(X0_iProver_f12_1,f12(X1_iProver_f12_1,X2_iProver_f12_1))))
| ~ p25(f16(f17(X0_iProver_f18_2,X1_iProver_f18_2)),f16(f17(X0_iProver_f18_2,f21(X0_iProver_f12_1,X1_iProver_f12_1,X2_iProver_f12_1,X0_iProver_f18_2,X1_iProver_f18_2)))) ),
inference(subtyping,[status(esa)],[c_138]) ).
tcf(c_395,negated_conjecture,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f12_1: iProver_f12_1,X1_iProver_f18_2: iProver_f18_2,X1_iProver_f12_1: iProver_f12_1,X2_iProver_f12_1: iProver_f12_1] :
( p8(X0_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(X1_iProver_f12_1,X2_iProver_f12_1)),c31,X1_iProver_f18_2))
| p24(f21(X0_iProver_f12_1,X1_iProver_f12_1,X2_iProver_f12_1,X1_iProver_f18_2,X0_iProver_f18_2),f20(f11(X0_iProver_f12_1,f12(X1_iProver_f12_1,X2_iProver_f12_1))))
| p23(f18(f11(X0_iProver_f12_1,f12(X1_iProver_f12_1,X2_iProver_f12_1)),f9(f11(X0_iProver_f12_1,f12(X1_iProver_f12_1,X2_iProver_f12_1)),c31,X1_iProver_f18_2)))
| ~ p22(f3(f4(f5(c26))),X1_iProver_f12_1)
| ~ p24(X0_iProver_f18_2,f20(f11(X0_iProver_f12_1,f12(X1_iProver_f12_1,X2_iProver_f12_1)))) ),
inference(subtyping,[status(esa)],[c_137]) ).
tcf(c_399,negated_conjecture,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f12_1: iProver_f12_1,X1_iProver_f18_2: iProver_f18_2,X1_iProver_f12_1: iProver_f12_1,X2_iProver_f12_1: iProver_f12_1] :
( p25(f16(f17(X1_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(X1_iProver_f12_1,X2_iProver_f12_1)),c31,X1_iProver_f18_2))),f16(f17(X1_iProver_f18_2,X0_iProver_f18_2)))
| ~ p22(f3(f4(f5(c26))),X1_iProver_f12_1)
| ~ p24(X0_iProver_f18_2,f20(f11(X0_iProver_f12_1,f12(X1_iProver_f12_1,X2_iProver_f12_1)))) ),
inference(subtyping,[status(esa)],[c_133]) ).
tcf(c_414,negated_conjecture,
! [X0_iProver_f18_2: iProver_f18_2,X1_iProver_f18_2: iProver_f18_2,X2_iProver_f18_2: iProver_f18_2,X3_iProver_f18_2: iProver_f18_2] :
( p25(X1_iProver_f18_2,X3_iProver_f18_2)
| ~ p25(X0_iProver_f18_2,X2_iProver_f18_2)
| ~ p8(X2_iProver_f18_2,X3_iProver_f18_2)
| ~ p8(X0_iProver_f18_2,X1_iProver_f18_2) ),
inference(subtyping,[status(esa)],[c_118]) ).
tcf(c_421,negated_conjecture,
! [X0_iProver_f18_2: iProver_f18_2,X1_iProver_f18_2: iProver_f18_2,X2_iProver_f18_2: iProver_f18_2] :
( p8(X1_iProver_f18_2,X2_iProver_f18_2)
| ~ p8(X0_iProver_f18_2,X2_iProver_f18_2)
| ~ p8(X0_iProver_f18_2,X1_iProver_f18_2) ),
inference(subtyping,[status(esa)],[c_111]) ).
tcf(c_437,negated_conjecture,
! [X0_iProver_f18_2: iProver_f18_2] : p8(X0_iProver_f18_2,X0_iProver_f18_2),
inference(subtyping,[status(esa)],[c_95]) ).
tcf(c_465,plain,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f12_1: iProver_f12_1,X1_iProver_f18_2: iProver_f18_2,X1_iProver_f12_1: iProver_f12_1] :
( p8(X1_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X0_iProver_f18_2))
| p23(f18(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X0_iProver_f18_2)))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p24(X1_iProver_f18_2,f20(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1))))
| ~ p25(f16(f17(X0_iProver_f18_2,X1_iProver_f18_2)),f16(f17(X0_iProver_f18_2,f21(X0_iProver_f12_1,c27,X1_iProver_f12_1,X0_iProver_f18_2,X1_iProver_f18_2)))) ),
inference(instantiation,[status(thm)],[c_394]) ).
tcf(c_467,plain,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f12_1: iProver_f12_1,X1_iProver_f18_2: iProver_f18_2,X1_iProver_f12_1: iProver_f12_1] :
( p8(X0_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X1_iProver_f18_2))
| p24(f21(X0_iProver_f12_1,c27,X1_iProver_f12_1,X1_iProver_f18_2,X0_iProver_f18_2),f20(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1))))
| p23(f18(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X1_iProver_f18_2)))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p24(X0_iProver_f18_2,f20(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)))) ),
inference(instantiation,[status(thm)],[c_395]) ).
tcf(c_473,plain,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f12_1: iProver_f12_1,X1_iProver_f18_2: iProver_f18_2,X1_iProver_f12_1: iProver_f12_1] :
( p25(f16(f17(X1_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X1_iProver_f18_2))),f16(f17(X1_iProver_f18_2,X0_iProver_f18_2)))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p24(X0_iProver_f18_2,f20(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)))) ),
inference(instantiation,[status(thm)],[c_399]) ).
tcf(c_493,plain,
! [X0_iProver_f18_2: iProver_f18_2] :
( p8(c33,f9(f11(c29,f12(c27,c30)),c31,X0_iProver_f18_2))
| p24(f21(c29,c27,c30,X0_iProver_f18_2,c33),f20(f11(c29,f12(c27,c30))))
| p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,X0_iProver_f18_2)))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p24(c33,f20(f11(c29,f12(c27,c30)))) ),
inference(instantiation,[status(thm)],[c_467]) ).
tcf(c_494,plain,
( p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32))
| p24(f21(c29,c27,c30,c32,c33),f20(f11(c29,f12(c27,c30))))
| p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p24(c33,f20(f11(c29,f12(c27,c30)))) ),
inference(instantiation,[status(thm)],[c_493]) ).
tcf(c_528,plain,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f12_1: iProver_f12_1,X1_iProver_f18_2: iProver_f18_2,X1_iProver_f12_1: iProver_f12_1,X2_iProver_f18_2: iProver_f18_2] :
( p8(f16(f17(X1_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X1_iProver_f18_2))),X2_iProver_f18_2)
| ~ p8(X0_iProver_f18_2,X2_iProver_f18_2)
| ~ p8(X0_iProver_f18_2,f16(f17(X1_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X1_iProver_f18_2)))) ),
inference(instantiation,[status(thm)],[c_421]) ).
tcf(c_548,plain,
! [X0_iProver_f18_2: iProver_f18_2,X1_iProver_f18_2: iProver_f18_2] :
( p25(f16(f17(X1_iProver_f18_2,f9(f11(c29,f12(c27,c30)),c31,X1_iProver_f18_2))),f16(f17(X1_iProver_f18_2,f21(c29,c27,c30,X0_iProver_f18_2,c33))))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p24(f21(c29,c27,c30,X0_iProver_f18_2,c33),f20(f11(c29,f12(c27,c30)))) ),
inference(instantiation,[status(thm)],[c_473]) ).
tcf(c_551,plain,
( p25(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,f21(c29,c27,c30,c32,c33))))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p24(f21(c29,c27,c30,c32,c33),f20(f11(c29,f12(c27,c30)))) ),
inference(instantiation,[status(thm)],[c_548]) ).
tcf(c_570,plain,
! [X0_iProver_f18_2: iProver_f18_2,X1_iProver_f18_2: iProver_f18_2,X2_iProver_f18_2: iProver_f18_2,X3_iProver_f18_2: iProver_f18_2] :
( p25(X2_iProver_f18_2,X3_iProver_f18_2)
| ~ p8(f16(f17(X0_iProver_f18_2,f21(c29,c27,c30,X1_iProver_f18_2,c33))),X3_iProver_f18_2)
| ~ p8(f16(f17(X0_iProver_f18_2,f9(f11(c29,f12(c27,c30)),c31,X0_iProver_f18_2))),X2_iProver_f18_2)
| ~ p25(f16(f17(X0_iProver_f18_2,f9(f11(c29,f12(c27,c30)),c31,X0_iProver_f18_2))),f16(f17(X0_iProver_f18_2,f21(c29,c27,c30,X1_iProver_f18_2,c33)))) ),
inference(instantiation,[status(thm)],[c_414]) ).
tcf(c_585,plain,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f12_1: iProver_f12_1,X1_iProver_f18_2: iProver_f18_2,X1_iProver_f12_1: iProver_f12_1,X2_iProver_f18_2: iProver_f18_2] :
( p8(X2_iProver_f18_2,f16(f17(X1_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X1_iProver_f18_2))))
| ~ p8(X0_iProver_f18_2,X2_iProver_f18_2)
| ~ p8(X0_iProver_f18_2,f16(f17(X1_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X1_iProver_f18_2)))) ),
inference(instantiation,[status(thm)],[c_421]) ).
tcf(c_634,plain,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f12_1: iProver_f12_1,X1_iProver_f18_2: iProver_f18_2,X1_iProver_f12_1: iProver_f12_1,X2_iProver_f18_2: iProver_f18_2] :
( p8(X2_iProver_f18_2,f16(f17(X1_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X1_iProver_f18_2))))
| ~ p8(f16(X0_iProver_f18_2),X2_iProver_f18_2)
| ~ p8(f16(X0_iProver_f18_2),f16(f17(X1_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X1_iProver_f18_2)))) ),
inference(instantiation,[status(thm)],[c_585]) ).
tcf(c_643,plain,
! [X0_iProver_f18_2: iProver_f18_2,X1_iProver_f18_2: iProver_f18_2] :
( p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),X1_iProver_f18_2)
| ~ p8(X0_iProver_f18_2,X1_iProver_f18_2)
| ~ p8(X0_iProver_f18_2,f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))) ),
inference(instantiation,[status(thm)],[c_421]) ).
tcf(c_681,plain,
! [X0_iProver_f18_2: iProver_f18_2,X1_iProver_f18_2: iProver_f18_2,X2_iProver_f18_2: iProver_f18_2,X3_iProver_f18_2: iProver_f18_2] :
( p25(X2_iProver_f18_2,f16(X3_iProver_f18_2))
| ~ p8(f16(f17(X0_iProver_f18_2,f21(c29,c27,c30,X1_iProver_f18_2,c33))),f16(X3_iProver_f18_2))
| ~ p8(f16(f17(X0_iProver_f18_2,f9(f11(c29,f12(c27,c30)),c31,X0_iProver_f18_2))),X2_iProver_f18_2)
| ~ p25(f16(f17(X0_iProver_f18_2,f9(f11(c29,f12(c27,c30)),c31,X0_iProver_f18_2))),f16(f17(X0_iProver_f18_2,f21(c29,c27,c30,X1_iProver_f18_2,c33)))) ),
inference(instantiation,[status(thm)],[c_570]) ).
tcf(c_761,plain,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f12_1: iProver_f12_1,X1_iProver_f12_1: iProver_f12_1] : p8(f16(f17(X0_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X0_iProver_f18_2))),f16(f17(X0_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X0_iProver_f18_2)))),
inference(instantiation,[status(thm)],[c_437]) ).
tcf(c_783,plain,
! [X0_iProver_f18_2: iProver_f18_2] :
( p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),X0_iProver_f18_2)
| ~ p8(f16(f17(c32,c33)),X0_iProver_f18_2)
| ~ p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))) ),
inference(instantiation,[status(thm)],[c_643]) ).
tcf(c_890,plain,
p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32)))),
inference(instantiation,[status(thm)],[c_761]) ).
tcf(c_898,plain,
! [X0_iProver_f18_2: iProver_f18_2] : p8(f16(f17(X0_iProver_f18_2,c33)),f16(f17(X0_iProver_f18_2,c33))),
inference(instantiation,[status(thm)],[c_437]) ).
tcf(c_899,plain,
p8(f16(f17(c32,c33)),f16(f17(c32,c33))),
inference(instantiation,[status(thm)],[c_898]) ).
tcf(c_918,plain,
! [X0_iProver_f18_2: iProver_f18_2,X0_iProver_f12_1: iProver_f12_1,X1_iProver_f18_2: iProver_f18_2,X1_iProver_f12_1: iProver_f12_1] :
( p8(X1_iProver_f18_2,f16(f17(X0_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X0_iProver_f18_2))))
| ~ p8(f16(f17(X0_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X0_iProver_f18_2))),X1_iProver_f18_2)
| ~ p8(f16(f17(X0_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X0_iProver_f18_2))),f16(f17(X0_iProver_f18_2,f9(f11(X0_iProver_f12_1,f12(c27,X1_iProver_f12_1)),c31,X0_iProver_f18_2)))) ),
inference(instantiation,[status(thm)],[c_634]) ).
tcf(c_924,plain,
! [X0_iProver_f18_2: iProver_f18_2,X1_iProver_f18_2: iProver_f18_2,X2_iProver_f18_2: iProver_f18_2] :
( p25(X2_iProver_f18_2,f16(f17(X0_iProver_f18_2,f21(c29,c27,c30,X1_iProver_f18_2,c33))))
| ~ p8(f16(f17(X0_iProver_f18_2,f9(f11(c29,f12(c27,c30)),c31,X0_iProver_f18_2))),X2_iProver_f18_2)
| ~ p8(f16(f17(X0_iProver_f18_2,f21(c29,c27,c30,X1_iProver_f18_2,c33))),f16(f17(X0_iProver_f18_2,f21(c29,c27,c30,X1_iProver_f18_2,c33))))
| ~ p25(f16(f17(X0_iProver_f18_2,f9(f11(c29,f12(c27,c30)),c31,X0_iProver_f18_2))),f16(f17(X0_iProver_f18_2,f21(c29,c27,c30,X1_iProver_f18_2,c33)))) ),
inference(instantiation,[status(thm)],[c_681]) ).
tcf(c_1027,plain,
! [X0_iProver_f18_2: iProver_f18_2] :
( p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(X0_iProver_f18_2))
| ~ p8(f16(f17(c32,c33)),f16(X0_iProver_f18_2))
| ~ p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))) ),
inference(instantiation,[status(thm)],[c_783]) ).
tcf(c_1262,plain,
! [X0_iProver_f18_2: iProver_f18_2,X1_iProver_f18_2: iProver_f18_2] : p8(f16(f17(X0_iProver_f18_2,f21(c29,c27,c30,X1_iProver_f18_2,c33))),f16(f17(X0_iProver_f18_2,f21(c29,c27,c30,X1_iProver_f18_2,c33)))),
inference(instantiation,[status(thm)],[c_437]) ).
tcf(c_1263,plain,
p8(f16(f17(c32,f21(c29,c27,c30,c32,c33))),f16(f17(c32,f21(c29,c27,c30,c32,c33)))),
inference(instantiation,[status(thm)],[c_1262]) ).
tcf(c_1271,plain,
( p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))))
| ~ p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))))
| ~ p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))) ),
inference(instantiation,[status(thm)],[c_918]) ).
tcf(c_1345,plain,
! [X0_iProver_f18_2: iProver_f18_2] :
( p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),X0_iProver_f18_2)
| ~ p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),X0_iProver_f18_2)
| ~ p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32)))) ),
inference(instantiation,[status(thm)],[c_528]) ).
tcf(c_1392,plain,
( p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,c33)))
| ~ p8(f16(f17(c32,c33)),f16(f17(c32,c33)))
| ~ p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))) ),
inference(instantiation,[status(thm)],[c_1027]) ).
tcf(c_1492,plain,
! [X0_iProver_f18_2: iProver_f18_2,X1_iProver_f18_2: iProver_f18_2,X2_iProver_f18_2: iProver_f18_2] :
( p25(f16(X2_iProver_f18_2),f16(f17(X0_iProver_f18_2,f21(c29,c27,c30,X1_iProver_f18_2,c33))))
| ~ p8(f16(f17(X0_iProver_f18_2,f9(f11(c29,f12(c27,c30)),c31,X0_iProver_f18_2))),f16(X2_iProver_f18_2))
| ~ p8(f16(f17(X0_iProver_f18_2,f21(c29,c27,c30,X1_iProver_f18_2,c33))),f16(f17(X0_iProver_f18_2,f21(c29,c27,c30,X1_iProver_f18_2,c33))))
| ~ p25(f16(f17(X0_iProver_f18_2,f9(f11(c29,f12(c27,c30)),c31,X0_iProver_f18_2))),f16(f17(X0_iProver_f18_2,f21(c29,c27,c30,X1_iProver_f18_2,c33)))) ),
inference(instantiation,[status(thm)],[c_924]) ).
tcf(c_1915,plain,
( p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,c33)))
| ~ p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,c33)))
| ~ p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32)))) ),
inference(instantiation,[status(thm)],[c_1345]) ).
tcf(c_2750,plain,
! [X0_iProver_f18_2: iProver_f18_2] :
( p25(f16(f17(c32,c33)),f16(f17(c32,f21(c29,c27,c30,X0_iProver_f18_2,c33))))
| ~ p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,c33)))
| ~ p8(f16(f17(c32,f21(c29,c27,c30,X0_iProver_f18_2,c33))),f16(f17(c32,f21(c29,c27,c30,X0_iProver_f18_2,c33))))
| ~ p25(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,f21(c29,c27,c30,X0_iProver_f18_2,c33)))) ),
inference(instantiation,[status(thm)],[c_1492]) ).
tcf(c_2751,plain,
( p25(f16(f17(c32,c33)),f16(f17(c32,f21(c29,c27,c30,c32,c33))))
| ~ p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,c33)))
| ~ p8(f16(f17(c32,f21(c29,c27,c30,c32,c33))),f16(f17(c32,f21(c29,c27,c30,c32,c33))))
| ~ p25(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,f21(c29,c27,c30,c32,c33)))) ),
inference(instantiation,[status(thm)],[c_2750]) ).
tcf(c_8485,plain,
( p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32))
| p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32)))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p24(c33,f20(f11(c29,f12(c27,c30))))
| ~ p25(f16(f17(c32,c33)),f16(f17(c32,f21(c29,c27,c30,c32,c33)))) ),
inference(instantiation,[status(thm)],[c_465]) ).
tcf(c_8486,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8485,c_2751,c_1915,c_1392,c_1271,c_1263,c_899,c_890,c_551,c_494,c_131,c_128,c_127,c_117,c_103,c_101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN650-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.60 % Computer : n004.cluster.edu
% 0.11/5.60 % Model : x86_64 x86_64
% 0.11/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.60 % Memory : 8046.5625MB
% 0.11/5.60 % OS : Linux 6.8.0-71-generic
% 0.11/5.60 % CPULimit : 300
% 0.11/5.60 % WCLimit : 300
% 0.11/5.60 % DateTime : Fri Sep 25 01:59:15 UTC 2026
% 0.11/5.61 % CPUTime :
% 0.11/5.61 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.64 Running first-order theorem proving
% 0.11/5.64 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.65
% 0.11/5.65 % ======== iProver multi-core TPTP/SMT =========
% 0.11/5.65
% 0.11/5.65 % Detected problem language: tptp
% 0.11/5.66 % Proving...
% 0.74/6.32 % SZS status Started for theBenchmark.p
% 0.74/6.32 % SZS status Unsatisfiable for theBenchmark.p
% 0.74/6.32
% 0.74/6.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.74/6.32
% 0.74/6.32 % ------ iProver source info
% 0.74/6.32
% 0.74/6.32 % git: date: 2026-07-19 20:42:38 +0200
% 0.74/6.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.74/6.32 % git: non_committed_changes: false
% 0.74/6.32
% 0.74/6.32 % ------ Parsing...% successful
% 0.74/6.32
% 0.74/6.32
% 0.74/6.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.74/6.32
% 0.74/6.32 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.74/6.32
% 0.74/6.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.74/6.32 % ------ Proving...
% 0.74/6.32 % ------ Problem Properties
% 0.74/6.32
% 0.74/6.32 %
% 0.74/6.32 % clauses 45
% 0.74/6.32 % conjectures 45
% 0.74/6.32 % EPR 16
% 0.74/6.32 % Horn 42
% 0.74/6.32 % unary 14
% 0.74/6.32 % binary 8
% 0.74/6.32 % lits 114
% 0.74/6.32 % lits eq 0
% 0.74/6.32 % fd_pure 0
% 0.74/6.32 % fd_pseudo 0
% 0.74/6.32 % fd_cond 0
% 0.74/6.32 % fd_pseudo_cond 0
% 0.74/6.32 % AC symbols 0
% 0.74/6.32
% 0.74/6.32 % ------ Input Options Time Limit: Unbounded
% 0.74/6.32
% 0.74/6.32
% 0.74/6.32 % ------
% 0.74/6.32 % Current options:
% 0.74/6.32 % ------
% 0.74/6.32
% 0.74/6.32
% 0.74/6.32 %
% 0.74/6.32
% 0.74/6.32 % ------ Proving...
% 0.74/6.32 %
% 0.74/6.32
% 0.74/6.32 % SZS status Unsatisfiable for theBenchmark.p
% 0.74/6.32
% 0.74/6.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.74/6.32
% 0.74/6.32
%------------------------------------------------------------------------------