%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN565-1 : 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 : n009.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 03:41:06 PM UTC 2026
% Result : Unsatisfiable 25.64s 4.19s
% Output : CNFRefutation 25.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 77 ( 21 unt; 0 def)
% Number of atoms : 170 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 192 ( 99 ~; 93 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 159 ( 0 sgn 159 !; 0 ?; 135 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_2) ).
fof(f3,negated_conjecture,
! [X0] : p2(f5(f7(X0)),f5(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).
fof(f4,negated_conjecture,
! [X0,X1] : p4(f8(X0,X1),f6(X0,f7(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).
fof(f5,negated_conjecture,
! [X0,X1] : p4(f7(f8(X0,X1)),f8(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ p4(X0,X1)
| p2(f5(X0),f5(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
fof(f10,negated_conjecture,
! [X0,X1] : p10(f5(X0),f3(f5(f6(X0,X1)),f5(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_10) ).
fof(f11,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_11) ).
fof(f13,negated_conjecture,
! [X2,X0,X1] :
( ~ p10(X0,f3(X2,X1))
| p10(f9(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_13) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p10(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p10(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_14) ).
fof(f16,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f3(X0,X1),f3(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
tcf(c_68,negated_conjecture,
! [X0: $i] : p4(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_69,negated_conjecture,
! [X0: $i] : p2(f5(f7(X0)),f5(X0)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_70,negated_conjecture,
! [X0: $i,X1: $i] : p4(f8(X0,X1),f6(X0,f7(X1))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_71,negated_conjecture,
! [X0: $i,X1: $i] : p4(f7(f8(X0,X1)),f8(X1,X0)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_72,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(f5(X0),f5(X1))
| ~ p4(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_74,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_76,negated_conjecture,
! [X0: $i,X1: $i] : p10(f5(X0),f3(f5(f6(X0,X1)),f5(X1))),
inference(cnf_transformation,[],[f10]) ).
tcf(c_77,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
inference(cnf_transformation,[],[f11]) ).
tcf(c_79,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p10(f9(X0,X2),X1)
| ~ p10(X0,f3(X1,X2)) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_80,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p10(X1,X3)
| ~ p10(X0,X2)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_82,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f3(X0,X2),f3(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_85,plain,
p4(c11,c11),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_91,plain,
( p2(f5(c11),f5(c11))
| ~ p4(c11,c11) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_175,negated_conjecture,
! [X0_iProver_p2_2: iProver_p2_2,X1_iProver_p2_2: iProver_p2_2,X2_iProver_p2_2: iProver_p2_2,X3_iProver_p2_2: iProver_p2_2] :
( p2(f3(X0_iProver_p2_2,X2_iProver_p2_2),f3(X1_iProver_p2_2,X3_iProver_p2_2))
| ~ p2(X2_iProver_p2_2,X3_iProver_p2_2)
| ~ p2(X0_iProver_p2_2,X1_iProver_p2_2) ),
inference(subtyping,[status(esa)],[c_82]) ).
tcf(c_177,negated_conjecture,
! [X0_iProver_p2_2: iProver_p2_2,X1_iProver_p2_2: iProver_p2_2,X2_iProver_p2_2: iProver_p2_2,X3_iProver_p2_2: iProver_p2_2] :
( p10(X1_iProver_p2_2,X3_iProver_p2_2)
| ~ p10(X0_iProver_p2_2,X2_iProver_p2_2)
| ~ p2(X2_iProver_p2_2,X3_iProver_p2_2)
| ~ p2(X0_iProver_p2_2,X1_iProver_p2_2) ),
inference(subtyping,[status(esa)],[c_80]) ).
tcf(c_178,negated_conjecture,
! [X0_iProver_p2_2: iProver_p2_2,X1_iProver_p2_2: iProver_p2_2,X2_iProver_p2_2: iProver_p2_2] :
( p10(f9(X0_iProver_p2_2,X2_iProver_p2_2),X1_iProver_p2_2)
| ~ p10(X0_iProver_p2_2,f3(X1_iProver_p2_2,X2_iProver_p2_2)) ),
inference(subtyping,[status(esa)],[c_79]) ).
tcf(c_181,negated_conjecture,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2] : p10(f5(X0_iProver_p4_2),f3(f5(f6(X0_iProver_p4_2,X1_iProver_p4_2)),f5(X1_iProver_p4_2))),
inference(subtyping,[status(esa)],[c_76]) ).
tcf(c_183,negated_conjecture,
! [X0_iProver_p2_2: iProver_p2_2,X1_iProver_p2_2: iProver_p2_2,X2_iProver_p2_2: iProver_p2_2] :
( p2(X1_iProver_p2_2,X2_iProver_p2_2)
| ~ p2(X0_iProver_p2_2,X2_iProver_p2_2)
| ~ p2(X0_iProver_p2_2,X1_iProver_p2_2) ),
inference(subtyping,[status(esa)],[c_74]) ).
tcf(c_185,negated_conjecture,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2] :
( p2(f5(X0_iProver_p4_2),f5(X1_iProver_p4_2))
| ~ p4(X0_iProver_p4_2,X1_iProver_p4_2) ),
inference(subtyping,[status(esa)],[c_72]) ).
tcf(c_186,negated_conjecture,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2] : p4(f7(f8(X0_iProver_p4_2,X1_iProver_p4_2)),f8(X1_iProver_p4_2,X0_iProver_p4_2)),
inference(subtyping,[status(esa)],[c_71]) ).
tcf(c_187,negated_conjecture,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2] : p4(f8(X0_iProver_p4_2,X1_iProver_p4_2),f6(X0_iProver_p4_2,f7(X1_iProver_p4_2))),
inference(subtyping,[status(esa)],[c_70]) ).
tcf(c_188,negated_conjecture,
! [X0_iProver_p4_2: iProver_p4_2] : p2(f5(f7(X0_iProver_p4_2)),f5(X0_iProver_p4_2)),
inference(subtyping,[status(esa)],[c_69]) ).
tcf(c_204,plain,
! [X0_iProver_p4_2: iProver_p4_2,X0_iProver_p2_2: iProver_p2_2,X1_iProver_p4_2: iProver_p4_2,X1_iProver_p2_2: iProver_p2_2] :
( p10(X1_iProver_p2_2,X0_iProver_p2_2)
| ~ p2(f5(X0_iProver_p4_2),X1_iProver_p2_2)
| ~ p2(f3(f5(f6(X0_iProver_p4_2,X1_iProver_p4_2)),f5(X1_iProver_p4_2)),X0_iProver_p2_2)
| ~ p10(f5(X0_iProver_p4_2),f3(f5(f6(X0_iProver_p4_2,X1_iProver_p4_2)),f5(X1_iProver_p4_2))) ),
inference(instantiation,[status(thm)],[c_177]) ).
tcf(c_206,plain,
! [X0_iProver_p4_2: iProver_p4_2,X0_iProver_p2_2: iProver_p2_2,X1_iProver_p4_2: iProver_p4_2,X1_iProver_p2_2: iProver_p2_2] :
( p10(X1_iProver_p2_2,X0_iProver_p2_2)
| ~ p2(f5(X0_iProver_p4_2),X1_iProver_p2_2)
| ~ p2(f3(f5(f6(X0_iProver_p4_2,X1_iProver_p4_2)),f5(X1_iProver_p4_2)),X0_iProver_p2_2) ),
inference(global_subsumption_just,[status(thm)],[c_204,c_181,c_204]) ).
tcf(c_331,plain,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2,X2_iProver_p4_2: iProver_p4_2] :
( p2(f5(X0_iProver_p4_2),f5(f6(X1_iProver_p4_2,X2_iProver_p4_2)))
| ~ p4(X0_iProver_p4_2,f6(X1_iProver_p4_2,X2_iProver_p4_2)) ),
inference(instantiation,[status(thm)],[c_185]) ).
tcf(c_393,plain,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2] :
( p2(f5(f8(X0_iProver_p4_2,X1_iProver_p4_2)),f5(f6(X0_iProver_p4_2,f7(X1_iProver_p4_2))))
| ~ p4(f8(X0_iProver_p4_2,X1_iProver_p4_2),f6(X0_iProver_p4_2,f7(X1_iProver_p4_2))) ),
inference(instantiation,[status(thm)],[c_331]) ).
tcf(c_487,plain,
! [X0_iProver_p4_2: iProver_p4_2,X0_iProver_p2_2: iProver_p2_2,X1_iProver_p2_2: iProver_p2_2] :
( p2(f5(X0_iProver_p4_2),X1_iProver_p2_2)
| ~ p2(X0_iProver_p2_2,X1_iProver_p2_2)
| ~ p2(X0_iProver_p2_2,f5(X0_iProver_p4_2)) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_495,plain,
! [X0_iProver_p4_2: iProver_p4_2,X0_iProver_p2_2: iProver_p2_2,X1_iProver_p4_2: iProver_p4_2] :
( p2(f5(X1_iProver_p4_2),X0_iProver_p2_2)
| ~ p2(f5(X0_iProver_p4_2),X0_iProver_p2_2)
| ~ p2(f5(X0_iProver_p4_2),f5(X1_iProver_p4_2)) ),
inference(instantiation,[status(thm)],[c_487]) ).
tcf(c_512,plain,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2,X2_iProver_p4_2: iProver_p4_2] :
( p2(f5(X1_iProver_p4_2),f5(X2_iProver_p4_2))
| ~ p2(f5(X0_iProver_p4_2),f5(X2_iProver_p4_2))
| ~ p2(f5(X0_iProver_p4_2),f5(X1_iProver_p4_2)) ),
inference(instantiation,[status(thm)],[c_495]) ).
tcf(c_536,plain,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2,X2_iProver_p4_2: iProver_p4_2,X3_iProver_p4_2: iProver_p4_2] :
( p2(f5(f6(X1_iProver_p4_2,X2_iProver_p4_2)),f5(X3_iProver_p4_2))
| ~ p2(f5(X0_iProver_p4_2),f5(X3_iProver_p4_2))
| ~ p2(f5(X0_iProver_p4_2),f5(f6(X1_iProver_p4_2,X2_iProver_p4_2))) ),
inference(instantiation,[status(thm)],[c_512]) ).
tcf(c_774,plain,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2,X2_iProver_p4_2: iProver_p4_2] :
( p2(f5(f6(X0_iProver_p4_2,f7(X1_iProver_p4_2))),f5(X2_iProver_p4_2))
| ~ p2(f5(f8(X0_iProver_p4_2,X1_iProver_p4_2)),f5(X2_iProver_p4_2))
| ~ p2(f5(f8(X0_iProver_p4_2,X1_iProver_p4_2)),f5(f6(X0_iProver_p4_2,f7(X1_iProver_p4_2)))) ),
inference(instantiation,[status(thm)],[c_536]) ).
tcf(c_2244,plain,
! [X0_iProver_p4_2: iProver_p4_2,X0_iProver_p2_2: iProver_p2_2,X1_iProver_p2_2: iProver_p2_2] :
( p10(f9(f5(X0_iProver_p4_2),X1_iProver_p2_2),X0_iProver_p2_2)
| ~ p10(f5(X0_iProver_p4_2),f3(X0_iProver_p2_2,X1_iProver_p2_2)) ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_5322,plain,
( p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11)))
| ~ p10(f5(c11),f3(f5(f8(c12,c11)),f5(c12))) ),
inference(instantiation,[status(thm)],[c_2244]) ).
tcf(c_5675,plain,
! [X0_iProver_p4_2: iProver_p4_2,X0_iProver_p2_2: iProver_p2_2,X1_iProver_p4_2: iProver_p4_2,X1_iProver_p2_2: iProver_p2_2] :
( p10(X1_iProver_p2_2,X0_iProver_p2_2)
| ~ p2(f5(X0_iProver_p4_2),X1_iProver_p2_2)
| ~ p2(f3(f5(f6(X0_iProver_p4_2,X1_iProver_p4_2)),f5(X1_iProver_p4_2)),X0_iProver_p2_2)
| ~ p10(f5(X0_iProver_p4_2),f3(f5(f6(X0_iProver_p4_2,X1_iProver_p4_2)),f5(X1_iProver_p4_2))) ),
inference(instantiation,[status(thm)],[c_177]) ).
tcf(c_5676,plain,
! [X0_iProver_p4_2: iProver_p4_2,X0_iProver_p2_2: iProver_p2_2,X1_iProver_p4_2: iProver_p4_2,X1_iProver_p2_2: iProver_p2_2] :
( p10(X1_iProver_p2_2,X0_iProver_p2_2)
| ~ p2(f5(X0_iProver_p4_2),X1_iProver_p2_2)
| ~ p2(f3(f5(f6(X0_iProver_p4_2,X1_iProver_p4_2)),f5(X1_iProver_p4_2)),X0_iProver_p2_2) ),
inference(global_subsumption_just,[status(thm)],[c_5675,c_206]) ).
tcf(c_5682,plain,
! [X0_iProver_p4_2: iProver_p4_2,X0_iProver_p2_2: iProver_p2_2,X1_iProver_p2_2: iProver_p2_2] :
( p2(f5(X0_iProver_p4_2),X1_iProver_p2_2)
| ~ p2(X0_iProver_p2_2,X1_iProver_p2_2)
| ~ p2(X0_iProver_p2_2,f5(X0_iProver_p4_2)) ),
inference(instantiation,[status(thm)],[c_183]) ).
tcf(c_5683,plain,
! [X0_iProver_p4_2: iProver_p4_2,X0_iProver_p2_2: iProver_p2_2,X1_iProver_p4_2: iProver_p4_2,X2_iProver_p4_2: iProver_p4_2] :
( p10(f5(X2_iProver_p4_2),X0_iProver_p2_2)
| ~ p2(f5(X0_iProver_p4_2),f5(X2_iProver_p4_2))
| ~ p2(f3(f5(f6(X0_iProver_p4_2,X1_iProver_p4_2)),f5(X1_iProver_p4_2)),X0_iProver_p2_2) ),
inference(instantiation,[status(thm)],[c_5676]) ).
tcf(c_5690,plain,
! [X0_iProver_p4_2: iProver_p4_2,X0_iProver_p2_2: iProver_p2_2,X1_iProver_p4_2: iProver_p4_2] :
( p2(f5(X1_iProver_p4_2),X0_iProver_p2_2)
| ~ p2(f5(X0_iProver_p4_2),X0_iProver_p2_2)
| ~ p2(f5(X0_iProver_p4_2),f5(X1_iProver_p4_2)) ),
inference(instantiation,[status(thm)],[c_5682]) ).
tcf(c_5693,plain,
! [X0_iProver_p4_2: iProver_p4_2,X0_iProver_p2_2: iProver_p2_2,X1_iProver_p4_2: iProver_p4_2,X1_iProver_p2_2: iProver_p2_2,X2_iProver_p4_2: iProver_p4_2] :
( p10(f5(X2_iProver_p4_2),f3(X0_iProver_p2_2,X1_iProver_p2_2))
| ~ p2(f5(X0_iProver_p4_2),f5(X2_iProver_p4_2))
| ~ p2(f3(f5(f6(X0_iProver_p4_2,X1_iProver_p4_2)),f5(X1_iProver_p4_2)),f3(X0_iProver_p2_2,X1_iProver_p2_2)) ),
inference(instantiation,[status(thm)],[c_5683]) ).
tcf(c_5704,plain,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2,X2_iProver_p4_2: iProver_p4_2] :
( p2(f5(X1_iProver_p4_2),f5(X2_iProver_p4_2))
| ~ p2(f5(X0_iProver_p4_2),f5(X2_iProver_p4_2))
| ~ p2(f5(X0_iProver_p4_2),f5(X1_iProver_p4_2)) ),
inference(instantiation,[status(thm)],[c_5690]) ).
tcf(c_5725,plain,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2,X2_iProver_p4_2: iProver_p4_2,X3_iProver_p4_2: iProver_p4_2] :
( p2(f5(f6(X1_iProver_p4_2,X2_iProver_p4_2)),f5(X3_iProver_p4_2))
| ~ p2(f5(X0_iProver_p4_2),f5(X3_iProver_p4_2))
| ~ p2(f5(X0_iProver_p4_2),f5(f6(X1_iProver_p4_2,X2_iProver_p4_2))) ),
inference(instantiation,[status(thm)],[c_5704]) ).
tcf(c_5784,plain,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2] :
( p10(f5(c11),f3(f5(f8(c12,c11)),f5(c12)))
| ~ p2(f5(X0_iProver_p4_2),f5(c11))
| ~ p2(f3(f5(f6(X0_iProver_p4_2,X1_iProver_p4_2)),f5(X1_iProver_p4_2)),f3(f5(f8(c12,c11)),f5(c12))) ),
inference(instantiation,[status(thm)],[c_5693]) ).
tcf(c_5786,plain,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2] :
( ~ p2(f3(f5(f6(X0_iProver_p4_2,X1_iProver_p4_2)),f5(X1_iProver_p4_2)),f3(f5(f8(c12,c11)),f5(c12)))
| ~ p2(f5(X0_iProver_p4_2),f5(c11)) ),
inference(global_subsumption_just,[status(thm)],[c_5784,c_77,c_5322,c_5784]) ).
tcf(c_5787,plain,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2] :
( ~ p2(f5(X0_iProver_p4_2),f5(c11))
| ~ p2(f3(f5(f6(X0_iProver_p4_2,X1_iProver_p4_2)),f5(X1_iProver_p4_2)),f3(f5(f8(c12,c11)),f5(c12))) ),
inference(renaming,[status(thm)],[c_5786]) ).
tcf(c_5931,plain,
! [X0_iProver_p2_2: iProver_p2_2,X1_iProver_p2_2: iProver_p2_2] :
( p2(f3(X0_iProver_p2_2,X1_iProver_p2_2),f3(f5(f8(c12,c11)),f5(c12)))
| ~ p2(X1_iProver_p2_2,f5(c12))
| ~ p2(X0_iProver_p2_2,f5(f8(c12,c11))) ),
inference(instantiation,[status(thm)],[c_175]) ).
tcf(c_6090,plain,
! [X0_iProver_p4_2: iProver_p4_2,X0_iProver_p2_2: iProver_p2_2] :
( p2(f3(X0_iProver_p2_2,f5(X0_iProver_p4_2)),f3(f5(f8(c12,c11)),f5(c12)))
| ~ p2(f5(X0_iProver_p4_2),f5(c12))
| ~ p2(X0_iProver_p2_2,f5(f8(c12,c11))) ),
inference(instantiation,[status(thm)],[c_5931]) ).
tcf(c_6151,plain,
! [X0_iProver_p4_2: iProver_p4_2] :
( p2(f5(X0_iProver_p4_2),f5(f8(c12,c11)))
| ~ p4(X0_iProver_p4_2,f8(c12,c11)) ),
inference(instantiation,[status(thm)],[c_185]) ).
tcf(c_6157,plain,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2] :
( p2(f5(X1_iProver_p4_2),f5(f8(c12,c11)))
| ~ p2(f5(X0_iProver_p4_2),f5(X1_iProver_p4_2))
| ~ p2(f5(X0_iProver_p4_2),f5(f8(c12,c11))) ),
inference(instantiation,[status(thm)],[c_5704]) ).
tcf(c_6353,plain,
! [X0_iProver_p2_2: iProver_p2_2] :
( p2(f3(X0_iProver_p2_2,f5(f7(c12))),f3(f5(f8(c12,c11)),f5(c12)))
| ~ p2(f5(f7(c12)),f5(c12))
| ~ p2(X0_iProver_p2_2,f5(f8(c12,c11))) ),
inference(instantiation,[status(thm)],[c_6090]) ).
tcf(c_6436,plain,
( p2(f5(f7(f8(c11,c12))),f5(f8(c12,c11)))
| ~ p4(f7(f8(c11,c12)),f8(c12,c11)) ),
inference(instantiation,[status(thm)],[c_6151]) ).
tcf(c_6689,plain,
p2(f5(f7(c12)),f5(c12)),
inference(instantiation,[status(thm)],[c_188]) ).
tcf(c_6837,plain,
p4(f7(f8(c11,c12)),f8(c12,c11)),
inference(instantiation,[status(thm)],[c_186]) ).
tcf(c_7255,plain,
! [X0_iProver_p4_2: iProver_p4_2] :
( p2(f3(f5(X0_iProver_p4_2),f5(f7(c12))),f3(f5(f8(c12,c11)),f5(c12)))
| ~ p2(f5(f7(c12)),f5(c12))
| ~ p2(f5(X0_iProver_p4_2),f5(f8(c12,c11))) ),
inference(instantiation,[status(thm)],[c_6353]) ).
tcf(c_7257,plain,
! [X0_iProver_p4_2: iProver_p4_2] :
( p2(f3(f5(X0_iProver_p4_2),f5(f7(c12))),f3(f5(f8(c12,c11)),f5(c12)))
| ~ p2(f5(X0_iProver_p4_2),f5(f8(c12,c11))) ),
inference(global_subsumption_just,[status(thm)],[c_7255,c_6689,c_7255]) ).
tcf(c_7458,plain,
! [X0_iProver_p4_2: iProver_p4_2] :
( p2(f5(X0_iProver_p4_2),f5(f8(c12,c11)))
| ~ p2(f5(f7(f8(c11,c12))),f5(X0_iProver_p4_2))
| ~ p2(f5(f7(f8(c11,c12))),f5(f8(c12,c11))) ),
inference(instantiation,[status(thm)],[c_6157]) ).
tcf(c_7465,plain,
! [X0_iProver_p4_2: iProver_p4_2] :
( p2(f5(X0_iProver_p4_2),f5(f8(c12,c11)))
| ~ p2(f5(f7(f8(c11,c12))),f5(X0_iProver_p4_2)) ),
inference(global_subsumption_just,[status(thm)],[c_7458,c_6436,c_6837,c_7458]) ).
tcf(c_8251,plain,
( p2(f5(f8(c11,c12)),f5(f8(c12,c11)))
| ~ p2(f5(f7(f8(c11,c12))),f5(f8(c11,c12))) ),
inference(instantiation,[status(thm)],[c_7465]) ).
tcf(c_9672,plain,
! [X0_iProver_p4_2: iProver_p4_2] :
( p2(f3(f5(f6(X0_iProver_p4_2,f7(c12))),f5(f7(c12))),f3(f5(f8(c12,c11)),f5(c12)))
| ~ p2(f5(f6(X0_iProver_p4_2,f7(c12))),f5(f8(c12,c11))) ),
inference(instantiation,[status(thm)],[c_7257]) ).
tcf(c_9673,plain,
( p2(f3(f5(f6(c11,f7(c12))),f5(f7(c12))),f3(f5(f8(c12,c11)),f5(c12)))
| ~ p2(f5(f6(c11,f7(c12))),f5(f8(c12,c11))) ),
inference(instantiation,[status(thm)],[c_9672]) ).
tcf(c_9837,plain,
p2(f5(f7(f8(c11,c12))),f5(f8(c11,c12))),
inference(instantiation,[status(thm)],[c_188]) ).
tcf(c_11232,plain,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2,X2_iProver_p4_2: iProver_p4_2] :
( p2(f5(f6(X0_iProver_p4_2,f7(X1_iProver_p4_2))),f5(X2_iProver_p4_2))
| ~ p2(f5(f8(X0_iProver_p4_2,X1_iProver_p4_2)),f5(X2_iProver_p4_2))
| ~ p2(f5(f8(X0_iProver_p4_2,X1_iProver_p4_2)),f5(f6(X0_iProver_p4_2,f7(X1_iProver_p4_2)))) ),
inference(instantiation,[status(thm)],[c_5725]) ).
tcf(c_11233,plain,
! [X0_iProver_p4_2: iProver_p4_2,X1_iProver_p4_2: iProver_p4_2,X2_iProver_p4_2: iProver_p4_2] :
( p2(f5(f6(X0_iProver_p4_2,f7(X1_iProver_p4_2))),f5(X2_iProver_p4_2))
| ~ p2(f5(f8(X0_iProver_p4_2,X1_iProver_p4_2)),f5(X2_iProver_p4_2)) ),
inference(global_subsumption_just,[status(thm)],[c_11232,c_187,c_393,c_774]) ).
tcf(c_21067,plain,
( p2(f5(f6(c11,f7(c12))),f5(f8(c12,c11)))
| ~ p2(f5(f8(c11,c12)),f5(f8(c12,c11))) ),
inference(instantiation,[status(thm)],[c_11233]) ).
tcf(c_26587,plain,
! [X0_iProver_p4_2: iProver_p4_2] :
( ~ p2(f5(X0_iProver_p4_2),f5(c11))
| ~ p2(f3(f5(f6(X0_iProver_p4_2,f7(c12))),f5(f7(c12))),f3(f5(f8(c12,c11)),f5(c12))) ),
inference(instantiation,[status(thm)],[c_5787]) ).
tcf(c_26588,plain,
( ~ p2(f5(c11),f5(c11))
| ~ p2(f3(f5(f6(c11,f7(c12))),f5(f7(c12))),f3(f5(f8(c12,c11)),f5(c12))) ),
inference(instantiation,[status(thm)],[c_26587]) ).
tcf(c_26589,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_26588,c_21067,c_9837,c_9673,c_8251,c_91,c_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN565-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 01:44:44 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 25.64/4.19 % SZS status Started for theBenchmark.p
% 25.64/4.19 % SZS status Unsatisfiable for theBenchmark.p
% 25.64/4.19
% 25.64/4.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 25.64/4.19
% 25.64/4.19 % ------ iProver source info
% 25.64/4.19
% 25.64/4.19 % git: date: 2026-07-19 20:42:38 +0200
% 25.64/4.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 25.64/4.19 % git: non_committed_changes: false
% 25.64/4.19
% 25.64/4.19 % ------ Parsing...% successful
% 25.64/4.19
% 25.64/4.19
% 25.64/4.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 25.64/4.19
% 25.64/4.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 25.64/4.19
% 25.64/4.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 25.64/4.19 % ------ Proving...
% 25.64/4.19 % ------ Problem Properties
% 25.64/4.19
% 25.64/4.19 %
% 25.64/4.19 % clauses 18
% 25.64/4.19 % conjectures 18
% 25.64/4.19 % EPR 5
% 25.64/4.19 % Horn 18
% 25.64/4.19 % unary 7
% 25.64/4.19 % binary 4
% 25.64/4.19 % lits 37
% 25.64/4.19 % lits eq 0
% 25.64/4.19 % fd_pure 0
% 25.64/4.19 % fd_pseudo 0
% 25.64/4.19 % fd_cond 0
% 25.64/4.19 % fd_pseudo_cond 0
% 25.64/4.19 % AC symbols 0
% 25.64/4.19
% 25.64/4.19 % ------ Input Options Time Limit: Unbounded
% 25.64/4.19
% 25.64/4.19
% 25.64/4.19 % ------
% 25.64/4.19 % Current options:
% 25.64/4.19 % ------
% 25.64/4.19
% 25.64/4.19
% 25.64/4.19 %
% 25.64/4.19
% 25.64/4.19 % ------ Proving...
% 25.64/4.19 %
% 25.64/4.19
% 25.64/4.19 % SZS status Unsatisfiable for theBenchmark.p
% 25.64/4.19
% 25.64/4.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.64/4.19
% 25.64/4.19
%------------------------------------------------------------------------------