%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN629-1 : 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 : n026.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 03:41:15 PM UTC 2026
% Result : Unsatisfiable 1.89s 11.29s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 14 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 55 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : p9(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
fof(f6,negated_conjecture,
p9(c28,c26),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( ~ p9(X0,X1)
| p9(f16(X0),f16(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_13) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p20(X2,X3)
| ~ p9(X3,X1)
| ~ p9(X2,X0)
| p20(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_26) ).
fof(f29,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p9(X1,X3)
| ~ p9(X0,X2)
| p9(f17(X0,X1),f17(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_29) ).
fof(f30,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p9(X1,X3)
| ~ p2(X0,X2)
| p9(f15(X0,X1),f15(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_30) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p9(X1,X3)
| ~ p9(X0,X2)
| p9(f10(X0,X1),f10(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_31) ).
fof(f34,negated_conjecture,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_34) ).
fof(f35,negated_conjecture,
~ p20(f16(f17(c26,c27)),f10(f15(f7(c23,f8(c24,c25)),c26),f11(f12(f13(f14(c29)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p20_35) ).
tcf(c_85,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_86,negated_conjecture,
! [X0: $i] : p9(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_90,negated_conjecture,
p9(c28,c26),
inference(cnf_transformation,[],[f6]) ).
tcf(c_97,negated_conjecture,
! [X0: $i,X1: $i] :
( p9(f16(X0),f16(X1))
| ~ p9(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_110,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p20(X3,X1)
| ~ p20(X2,X0)
| ~ p9(X2,X3)
| ~ p9(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_113,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p9(f17(X0,X2),f17(X1,X3))
| ~ p9(X2,X3)
| ~ p9(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_114,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p9(f15(X0,X2),f15(X1,X3))
| ~ p9(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_115,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p9(f10(X0,X2),f10(X1,X3))
| ~ p9(X2,X3)
| ~ p9(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_118,negated_conjecture,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
inference(cnf_transformation,[],[f34]) ).
tcf(c_119,negated_conjecture,
~ p20(f16(f17(c26,c27)),f10(f15(f7(c23,f8(c24,c25)),c26),f11(f12(f13(f14(c29)))))),
inference(cnf_transformation,[],[f35]) ).
tcf(c_301,plain,
! [X0: $i,X1: $i] :
( p20(X1,X0)
| ~ p9(f16(f17(c28,c27)),X1)
| ~ p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),X0)
| ~ p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_311,plain,
p9(c27,c27),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_338,plain,
! [X0: $i,X1: $i] :
( p20(f16(X1),X0)
| ~ p9(f16(f17(c28,c27)),f16(X1))
| ~ p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),X0)
| ~ p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))) ),
inference(instantiation,[status(thm)],[c_301]) ).
tcf(c_339,plain,
! [X0: $i] :
( p9(f16(f17(c28,c27)),f16(X0))
| ~ p9(f17(c28,c27),X0) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_350,plain,
! [X0: $i,X1: $i] :
( p9(f15(f7(c23,f8(c24,c25)),c28),f15(X0,X1))
| ~ p9(c28,X1)
| ~ p2(f7(c23,f8(c24,c25)),X0) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_395,plain,
! [X0: $i,X1: $i] :
( p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),f10(X0,X1))
| ~ p9(f11(f12(f13(f14(c29)))),X1)
| ~ p9(f15(f7(c23,f8(c24,c25)),c28),X0) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_401,plain,
! [X0: $i,X1: $i] :
( p9(f16(f17(c28,c27)),f16(f17(X0,X1)))
| ~ p9(f17(c28,c27),f17(X0,X1)) ),
inference(instantiation,[status(thm)],[c_339]) ).
tcf(c_402,plain,
! [X0: $i,X1: $i] :
( p9(f17(c28,c27),f17(X0,X1))
| ~ p9(c27,X1)
| ~ p9(c28,X0) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_440,plain,
! [X0: $i] :
( p9(f15(f7(c23,f8(c24,c25)),c28),f15(X0,c26))
| ~ p9(c28,c26)
| ~ p2(f7(c23,f8(c24,c25)),X0) ),
inference(instantiation,[status(thm)],[c_350]) ).
tcf(c_482,plain,
p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25))),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_510,plain,
! [X0: $i] :
( p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),f10(X0,f11(f12(f13(f14(c29))))))
| ~ p9(f15(f7(c23,f8(c24,c25)),c28),X0)
| ~ p9(f11(f12(f13(f14(c29)))),f11(f12(f13(f14(c29))))) ),
inference(instantiation,[status(thm)],[c_395]) ).
tcf(c_511,plain,
p9(f11(f12(f13(f14(c29)))),f11(f12(f13(f14(c29))))),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_530,plain,
! [X0: $i] :
( p9(f17(c28,c27),f17(c26,X0))
| ~ p9(c28,c26)
| ~ p9(c27,X0) ),
inference(instantiation,[status(thm)],[c_402]) ).
tcf(c_616,plain,
( p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c26))
| ~ p9(c28,c26)
| ~ p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25))) ),
inference(instantiation,[status(thm)],[c_440]) ).
tcf(c_653,plain,
( p9(f17(c28,c27),f17(c26,c27))
| ~ p9(c27,c27)
| ~ p9(c28,c26) ),
inference(instantiation,[status(thm)],[c_530]) ).
tcf(c_1106,plain,
( p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),f10(f15(f7(c23,f8(c24,c25)),c26),f11(f12(f13(f14(c29))))))
| ~ p9(f11(f12(f13(f14(c29)))),f11(f12(f13(f14(c29)))))
| ~ p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c26)) ),
inference(instantiation,[status(thm)],[c_510]) ).
tcf(c_1133,plain,
( p9(f16(f17(c28,c27)),f16(f17(c26,c27)))
| ~ p9(f17(c28,c27),f17(c26,c27)) ),
inference(instantiation,[status(thm)],[c_401]) ).
tcf(c_1558,plain,
! [X0: $i] :
( p20(f16(f17(c26,c27)),X0)
| ~ p9(f16(f17(c28,c27)),f16(f17(c26,c27)))
| ~ p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),X0)
| ~ p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))) ),
inference(instantiation,[status(thm)],[c_338]) ).
tcf(c_2073,plain,
( p20(f16(f17(c26,c27)),f10(f15(f7(c23,f8(c24,c25)),c26),f11(f12(f13(f14(c29))))))
| ~ p9(f16(f17(c28,c27)),f16(f17(c26,c27)))
| ~ p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))))
| ~ p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),f10(f15(f7(c23,f8(c24,c25)),c26),f11(f12(f13(f14(c29)))))) ),
inference(instantiation,[status(thm)],[c_1558]) ).
tcf(c_2074,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2073,c_1133,c_1106,c_653,c_616,c_511,c_482,c_311,c_119,c_118,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN629-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/10.37 % Computer : n026.cluster.edu
% 0.08/10.37 % Model : x86_64 x86_64
% 0.08/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.37 % Memory : 8046.5625MB
% 0.08/10.37 % OS : Linux 6.8.0-71-generic
% 0.08/10.37 % CPULimit : 300
% 0.08/10.37 % WCLimit : 300
% 0.08/10.37 % DateTime : Fri Sep 25 01:58:51 UTC 2026
% 0.08/10.38 % CPUTime :
% 0.08/10.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/10.41 Running first-order theorem proving
% 0.15/10.41 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
% 0.15/10.42
% 0.15/10.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.42
% 0.15/10.42 % Detected problem language: tptp
% 0.15/10.43 % Proving...
% 1.89/11.29 % SZS status Started for theBenchmark.p
% 1.89/11.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.89/11.29
% 1.89/11.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.89/11.29
% 1.89/11.29 % ------ iProver source info
% 1.89/11.29
% 1.89/11.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.89/11.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.89/11.29 % git: non_committed_changes: false
% 1.89/11.29
% 1.89/11.29 % ------ Parsing...% successful
% 1.89/11.29
% 1.89/11.29
% 1.89/11.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.89/11.29
% 1.89/11.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.89/11.29
% 1.89/11.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.89/11.29 % ------ Proving...
% 1.89/11.29 % ------ Problem Properties
% 1.89/11.29
% 1.89/11.29 %
% 1.89/11.29 % clauses 36
% 1.89/11.29 % conjectures 36
% 1.89/11.29 % EPR 17
% 1.89/11.29 % Horn 36
% 1.89/11.29 % unary 15
% 1.89/11.29 % binary 6
% 1.89/11.29 % lits 75
% 1.89/11.29 % lits eq 0
% 1.89/11.29 % fd_pure 0
% 1.89/11.29 % fd_pseudo 0
% 1.89/11.29 % fd_cond 0
% 1.89/11.29 % fd_pseudo_cond 0
% 1.89/11.29 % AC symbols 0
% 1.89/11.29
% 1.89/11.29 % ------ Schedule dynamic 5 is on
% 1.89/11.29
% 1.89/11.29 % ------ no equalities: superposition off
% 1.89/11.29
% 1.89/11.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.89/11.29
% 1.89/11.29
% 1.89/11.29 % ------
% 1.89/11.29 % Current options:
% 1.89/11.29 % ------
% 1.89/11.29
% 1.89/11.29
% 1.89/11.29 %
% 1.89/11.29
% 1.89/11.29 % ------ Proving...
% 1.89/11.29 %
% 1.89/11.29
% 1.89/11.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.89/11.29
% 1.89/11.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.89/11.29
% 1.89/11.29
%------------------------------------------------------------------------------