%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN718-1 : 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 : n013.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 03:41:28 PM UTC 2026
% Result : Unsatisfiable 0.68s 16.11s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 15 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 76 ( 39 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f23,negated_conjecture,
! [X0] : p25(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_23) ).
fof(f26,negated_conjecture,
! [X0] : p20(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_26) ).
fof(f36,negated_conjecture,
p3(c84,f10(c72,c73)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_36) ).
fof(f72,negated_conjecture,
! [X2,X0,X1] :
( ~ p57(f26(X0,X1),X2)
| p57(f26(f30(c85,X0),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_72) ).
fof(f76,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p21(X3,X1)
| ~ p57(X2,X3)
| ~ p25(X2,X0)
| p57(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_76) ).
fof(f80,negated_conjecture,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_80) ).
fof(f81,negated_conjecture,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_81) ).
fof(f101,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X1,X3)
| ~ p20(X0,X2)
| p21(f22(X0,X1),f22(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_101) ).
fof(f105,negated_conjecture,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p57_105) ).
fof(f107,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p57(f26(f30(c85,X0),X3),X2)
| ~ p57(f26(f30(c85,X0),X1),X3)
| p57(f26(f30(c85,X0),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_107) ).
tcf(c_189,negated_conjecture,
! [X0: $i] : p25(X0,X0),
inference(cnf_transformation,[],[f23]) ).
tcf(c_192,negated_conjecture,
! [X0: $i] : p20(X0,X0),
inference(cnf_transformation,[],[f26]) ).
tcf(c_202,negated_conjecture,
p3(c84,f10(c72,c73)),
inference(cnf_transformation,[],[f36]) ).
tcf(c_238,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p57(f26(f30(c85,X0),X1),X2)
| ~ p57(f26(X0,X1),X2) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_242,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p57(X1,X3)
| ~ p57(X0,X2)
| ~ p21(X2,X3)
| ~ p25(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_246,negated_conjecture,
p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)),
inference(cnf_transformation,[],[f80]) ).
tcf(c_247,negated_conjecture,
p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)),
inference(cnf_transformation,[],[f81]) ).
tcf(c_267,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p21(f22(X2,X0),f22(X3,X1))
| ~ p20(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_271,negated_conjecture,
~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73))),
inference(cnf_transformation,[],[f105]) ).
tcf(c_273,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p57(f26(f30(c85,X0),X3),X2)
| ~ p57(f26(f30(c85,X0),X3),X1)
| ~ p57(f26(f30(c85,X0),X1),X2) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_1258,plain,
( p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84))
| ~ p57(f26(c70,f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)) ),
inference(instantiation,[status(thm)],[c_238]) ).
tcf(c_1259,plain,
( p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82))
| ~ p57(f26(c70,f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82)) ),
inference(instantiation,[status(thm)],[c_238]) ).
tcf(c_1295,plain,
! [X0: $i] :
( p57(f26(f30(c85,c70),X0),f22(f24(c71,c83),c84))
| ~ p57(f26(f30(c85,c70),X0),f22(f24(c71,c81),c82))
| ~ p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)) ),
inference(instantiation,[status(thm)],[c_273]) ).
tcf(c_1325,plain,
! [X0: $i,X1: $i] :
( p21(f22(f24(c71,c83),c84),f22(X0,X1))
| ~ p3(c84,X1)
| ~ p20(f24(c71,c83),X0) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_1403,plain,
( p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),c84))
| ~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c81),c82))
| ~ p57(f26(f30(c85,c70),f22(f24(c71,c81),c82)),f22(f24(c71,c83),c84)) ),
inference(instantiation,[status(thm)],[c_1295]) ).
tcf(c_1463,plain,
! [X0: $i] :
( p21(f22(f24(c71,c83),c84),f22(X0,f10(c72,c73)))
| ~ p3(c84,f10(c72,c73))
| ~ p20(f24(c71,c83),X0) ),
inference(instantiation,[status(thm)],[c_1325]) ).
tcf(c_1748,plain,
( p21(f22(f24(c71,c83),c84),f22(f24(c71,c83),f10(c72,c73)))
| ~ p3(c84,f10(c72,c73))
| ~ p20(f24(c71,c83),f24(c71,c83)) ),
inference(instantiation,[status(thm)],[c_1463]) ).
tcf(c_1749,plain,
p20(f24(c71,c83),f24(c71,c83)),
inference(instantiation,[status(thm)],[c_192]) ).
tcf(c_1785,plain,
! [X0: $i,X1: $i] :
( p57(X0,X1)
| ~ p21(f22(f24(c71,c83),c84),X1)
| ~ p25(f26(f30(c85,c70),f22(f24(c71,c79),c80)),X0)
| ~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),c84)) ),
inference(instantiation,[status(thm)],[c_242]) ).
tcf(c_1983,plain,
p25(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f26(f30(c85,c70),f22(f24(c71,c79),c80))),
inference(instantiation,[status(thm)],[c_189]) ).
tcf(c_2104,plain,
! [X0: $i] :
( p57(X0,f22(f24(c71,c83),f10(c72,c73)))
| ~ p25(f26(f30(c85,c70),f22(f24(c71,c79),c80)),X0)
| ~ p21(f22(f24(c71,c83),c84),f22(f24(c71,c83),f10(c72,c73)))
| ~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),c84)) ),
inference(instantiation,[status(thm)],[c_1785]) ).
tcf(c_3802,plain,
( p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),f10(c72,c73)))
| ~ p21(f22(f24(c71,c83),c84),f22(f24(c71,c83),f10(c72,c73)))
| ~ p57(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f22(f24(c71,c83),c84))
| ~ p25(f26(f30(c85,c70),f22(f24(c71,c79),c80)),f26(f30(c85,c70),f22(f24(c71,c79),c80))) ),
inference(instantiation,[status(thm)],[c_2104]) ).
tcf(c_3803,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3802,c_1983,c_1749,c_1748,c_1403,c_1259,c_1258,c_271,c_246,c_247,c_202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN718-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/15.38 % Computer : n013.cluster.edu
% 0.10/15.38 % Model : x86_64 x86_64
% 0.10/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.38 % Memory : 8046.5625MB
% 0.10/15.38 % OS : Linux 6.8.0-71-generic
% 0.10/15.38 % CPULimit : 300
% 0.10/15.38 % WCLimit : 300
% 0.10/15.38 % DateTime : Fri Sep 25 02:09:50 UTC 2026
% 0.10/15.39 % CPUTime :
% 0.10/15.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/15.42 Running first-order theorem proving
% 0.14/15.42 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
% 0.14/15.44
% 0.14/15.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/15.44
% 0.14/15.44 % Detected problem language: tptp
% 0.14/15.45 % Proving...
% 0.68/16.11 % SZS status Started for theBenchmark.p
% 0.68/16.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.68/16.11
% 0.68/16.11 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.68/16.11
% 0.68/16.11 % ------ iProver source info
% 0.68/16.11
% 0.68/16.11 % git: date: 2026-07-19 20:42:38 +0200
% 0.68/16.11 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.68/16.11 % git: non_committed_changes: false
% 0.68/16.11
% 0.68/16.11 % ------ Parsing...% successful
% 0.68/16.11
% 0.68/16.11
% 0.68/16.11 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.68/16.11
% 0.68/16.11 % ------ Preprocessing... sf_s rm: 39 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.68/16.11
% 0.68/16.11 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.68/16.11 % ------ Proving...
% 0.68/16.11 % ------ Problem Properties
% 0.68/16.11
% 0.68/16.11 %
% 0.68/16.11 % clauses 79
% 0.68/16.11 % conjectures 79
% 0.68/16.11 % EPR 47
% 0.68/16.11 % Horn 77
% 0.68/16.11 % unary 29
% 0.68/16.11 % binary 3
% 0.68/16.11 % lits 177
% 0.68/16.11 % lits eq 0
% 0.68/16.11 % fd_pure 0
% 0.68/16.11 % fd_pseudo 0
% 0.68/16.11 % fd_cond 0
% 0.68/16.11 % fd_pseudo_cond 0
% 0.68/16.11 % AC symbols 0
% 0.68/16.11
% 0.68/16.11 % ------ Schedule dynamic 5 is on
% 0.68/16.11
% 0.68/16.11 % ------ no equalities: superposition off
% 0.68/16.11
% 0.68/16.11 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.68/16.11
% 0.68/16.11
% 0.68/16.11 % ------
% 0.68/16.11 % Current options:
% 0.68/16.11 % ------
% 0.68/16.11
% 0.68/16.11
% 0.68/16.11 %
% 0.68/16.11
% 0.68/16.11 % ------ Proving...
% 0.68/16.11 %
% 0.68/16.11
% 0.68/16.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.68/16.11
% 0.68/16.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.68/16.11
% 0.68/16.11
%------------------------------------------------------------------------------