%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN595-1 : 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 : n011.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 03:41:10 PM UTC 2026
% Result : Unsatisfiable 2.79s 1.18s
% Output : CNFRefutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 100 ( 53 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
fof(f5,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ p14(X0,X1)
| p15(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_6) ).
fof(f8,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_8) ).
fof(f10,negated_conjecture,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(f3(X0),f3(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
fof(f17,negated_conjecture,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
fof(f18,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p14(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p14(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_18) ).
fof(f22,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p7(X1,X3)
| ~ p7(X0,X2)
| p7(f8(X0,X1),f8(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_22) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] :
( ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X0),f9(f11(X2),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X2,f6(f3(f4(f5(c17))),c16))
| ~ p14(X1,f3(f4(f5(c17))))
| ~ p2(X0,f3(c17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_26) ).
tcf(c_76,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_77,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_80,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_81,negated_conjecture,
! [X0: $i,X1: $i] :
( p15(X0,X1)
| ~ p14(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_83,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_85,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(f3(X0),f3(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_92,negated_conjecture,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(cnf_transformation,[],[f17]) ).
tcf(c_93,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p14(X1,X3)
| ~ p14(X0,X2)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_97,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p7(f8(X0,X2),f8(X1,X3))
| ~ p7(X2,X3)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_101,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ p2(X1,f3(c17))
| ~ p14(X0,f3(f4(f5(c17))))
| ~ p15(X2,f6(f3(f4(f5(c17))),c16))
| ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X0),f8(f10(f11(f3(f4(f5(c17)))),X1),f9(f11(X2),f10(f11(f3(f4(f5(c17)))),c22))))) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_104,plain,
p2(c17,c17),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_110,plain,
( p2(f3(c17),f3(c17))
| ~ p2(c17,c17) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ p2(f3(X1),f3(c17))
| ~ p14(X0,f3(f4(f5(c17))))
| ~ p15(X2,f6(f3(f4(f5(c17))),c16))
| ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X0),f8(f10(f11(f3(f4(f5(c17)))),f3(X1)),f9(f11(X2),f10(f11(f3(f4(f5(c17)))),c22))))) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_264,plain,
! [X0: $i,X1: $i] :
( p14(X1,X0)
| ~ p2(c19,X1)
| ~ p14(c19,f6(f3(f4(f5(c17))),c16))
| ~ p2(f6(f3(f4(f5(c17))),c16),X0) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_313,plain,
! [X0: $i] :
( p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X0)
| ~ p14(c19,f6(f3(f4(f5(c17))),c16))
| ~ p2(f6(f3(f4(f5(c17))),c16),X0)
| ~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))) ),
inference(instantiation,[status(thm)],[c_264]) ).
tcf(c_315,plain,
! [X0: $i,X1: $i] :
( ~ p2(f3(X0),f3(c17))
| ~ p14(c18,f3(f4(f5(c17))))
| ~ p15(X1,f6(f3(f4(f5(c17))),c16))
| ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(X0)),f9(f11(X1),f10(f11(f3(f4(f5(c17)))),c22))))) ),
inference(instantiation,[status(thm)],[c_257]) ).
tcf(c_360,plain,
( p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16))
| ~ p14(c19,f6(f3(f4(f5(c17))),c16))
| ~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))))
| ~ p2(f6(f3(f4(f5(c17))),c16),f6(f3(f4(f5(c17))),c16)) ),
inference(instantiation,[status(thm)],[c_313]) ).
tcf(c_361,plain,
p2(f6(f3(f4(f5(c17))),c16),f6(f3(f4(f5(c17))),c16)),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_429,plain,
( p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16)) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_465,plain,
! [X0: $i] :
( ~ p2(f3(X0),f3(c17))
| ~ p14(c18,f3(f4(f5(c17))))
| ~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16))
| ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(X0)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22))))) ),
inference(instantiation,[status(thm)],[c_315]) ).
tcf(c_468,plain,
( ~ p2(f3(c17),f3(c17))
| ~ p14(c18,f3(f4(f5(c17))))
| ~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16))
| ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22))))) ),
inference(instantiation,[status(thm)],[c_465]) ).
tcf(c_737,plain,
p7(f10(f12(f11(f3(f5(c17)))),c18),f10(f12(f11(f3(f5(c17)))),c18)),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_1064,plain,
! [X0: $i] :
( p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(X0)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p7(f10(f12(f11(f3(f5(c17)))),c18),f10(f12(f11(f3(f5(c17)))),c18))
| ~ p7(f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22))),f8(f10(f11(f3(f4(f5(c17)))),f3(X0)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_1065,plain,
( p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p7(f10(f12(f11(f3(f5(c17)))),c18),f10(f12(f11(f3(f5(c17)))),c18))
| ~ p7(f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22))),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))) ),
inference(instantiation,[status(thm)],[c_1064]) ).
tcf(c_1263,plain,
p7(f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22))),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_1264,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1263,c_1065,c_737,c_468,c_429,c_361,c_360,c_92,c_110,c_83,c_80,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN595-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 01:49:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 2.79/1.18 % SZS status Started for theBenchmark.p
% 2.79/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.79/1.18
% 2.79/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.79/1.18
% 2.79/1.18 % ------ iProver source info
% 2.79/1.18
% 2.79/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 2.79/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.79/1.18 % git: non_committed_changes: false
% 2.79/1.18
% 2.79/1.18 % ------ Parsing...% successful
% 2.79/1.18
% 2.79/1.18
% 2.79/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.79/1.18
% 2.79/1.18 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.79/1.18
% 2.79/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.79/1.18 % ------ Proving...
% 2.79/1.18 % ------ Problem Properties
% 2.79/1.18
% 2.79/1.18 %
% 2.79/1.18 % clauses 27
% 2.79/1.18 % conjectures 27
% 2.79/1.18 % EPR 9
% 2.79/1.18 % Horn 26
% 2.79/1.18 % unary 8
% 2.79/1.18 % binary 7
% 2.79/1.18 % lits 62
% 2.79/1.18 % lits eq 0
% 2.79/1.18 % fd_pure 0
% 2.79/1.18 % fd_pseudo 0
% 2.79/1.18 % fd_cond 0
% 2.79/1.18 % fd_pseudo_cond 0
% 2.79/1.18 % AC symbols 0
% 2.79/1.18
% 2.79/1.18 % ------ Schedule dynamic 5 is on
% 2.79/1.18
% 2.79/1.18 % ------ no equalities: superposition off
% 2.79/1.18
% 2.79/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.79/1.18
% 2.79/1.18
% 2.79/1.18 % ------
% 2.79/1.18 % Current options:
% 2.79/1.18 % ------
% 2.79/1.18
% 2.79/1.18
% 2.79/1.18 %
% 2.79/1.18
% 2.79/1.18 % ------ Proving...
% 2.79/1.18 %
% 2.79/1.18
% 2.79/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.79/1.18
% 2.79/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.79/1.18
% 2.79/1.18
%------------------------------------------------------------------------------