%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN587-1 : 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 : 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 03:41:09 PM UTC 2026
% Result : Unsatisfiable 3.51s 16.57s
% Output : CNFRefutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 40 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 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 : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p3(c21,c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_5) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_15) ).
fof(f17,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p15(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p15(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_17) ).
fof(f18,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_18) ).
fof(f19,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_19) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p2(f4(X0,X1),f4(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).
tcf(c_77,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_78,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_79,negated_conjecture,
p3(c21,c19),
inference(cnf_transformation,[],[f5]) ).
tcf(c_89,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_91,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p15(X3,X1)
| ~ p15(X2,X0)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_92,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
inference(cnf_transformation,[],[f18]) ).
tcf(c_93,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
inference(cnf_transformation,[],[f19]) ).
tcf(c_94,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f4(X2,X0),f4(X3,X1))
| ~ p2(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i] :
( p15(X0,X1)
| ~ p2(c20,X1)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_248,plain,
! [X0: $i] :
( p15(X0,c20)
| ~ p2(c20,c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),X0) ),
inference(instantiation,[status(thm)],[c_235]) ).
tcf(c_249,plain,
p2(c20,c20),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i] :
( p15(f4(X0,X1),c20)
| ~ p2(c20,c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),f4(X0,X1)) ),
inference(instantiation,[status(thm)],[c_248]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i] :
( p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),f4(X0,X1))
| ~ p3(c19,X1)
| ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X0) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_313,plain,
! [X0: $i,X1: $i] :
( p3(c19,X1)
| ~ p3(X0,c19)
| ~ p3(X0,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_346,plain,
! [X0: $i] :
( p3(c19,X0)
| ~ p3(c21,c19)
| ~ p3(c21,X0) ),
inference(instantiation,[status(thm)],[c_313]) ).
tcf(c_404,plain,
( p3(c19,c21)
| ~ p3(c21,c19)
| ~ p3(c21,c21) ),
inference(instantiation,[status(thm)],[c_346]) ).
tcf(c_405,plain,
p3(c21,c21),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_424,plain,
p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f6(f10(c16),f6(f7(f8(f9(c17))),c18))),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_509,plain,
! [X0: $i] :
( p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),f4(X0,c21))
| ~ p3(c19,c21)
| ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X0) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_1441,plain,
( p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21))
| ~ p3(c19,c21)
| ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f6(f10(c16),f6(f7(f8(f9(c17))),c18))) ),
inference(instantiation,[status(thm)],[c_509]) ).
tcf(c_1858,plain,
( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20)
| ~ p2(c20,c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21)) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_1859,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1858,c_1441,c_424,c_405,c_404,c_249,c_93,c_92,c_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN587-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/15.65 % CPULimit : 300
% 0.10/15.65 % WCLimit : 300
% 0.10/15.65 % DateTime : Fri Sep 25 01:49:10 UTC 2026
% 0.10/15.65 % CPUTime :
% 0.10/15.65 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/15.69 Running first-order theorem proving
% 0.10/15.69 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
% 0.36/15.70
% 0.36/15.70 % ======== iProver multi-core TPTP/SMT =========
% 0.36/15.70
% 0.36/15.70 % Detected problem language: tptp
% 0.36/15.71 % Proving...
% 3.51/16.57 % SZS status Started for theBenchmark.p
% 3.51/16.57 % SZS status Unsatisfiable for theBenchmark.p
% 3.51/16.57
% 3.51/16.57 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.51/16.57
% 3.51/16.57 % ------ iProver source info
% 3.51/16.57
% 3.51/16.57 % git: date: 2026-07-19 20:42:38 +0200
% 3.51/16.57 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.51/16.57 % git: non_committed_changes: false
% 3.51/16.57
% 3.51/16.57 % ------ Parsing...% successful
% 3.51/16.57
% 3.51/16.57
% 3.51/16.57 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.51/16.57
% 3.51/16.57 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.51/16.57
% 3.51/16.57 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.51/16.57 % ------ Proving...
% 3.51/16.57 % ------ Problem Properties
% 3.51/16.57
% 3.51/16.57 %
% 3.51/16.57 % clauses 26
% 3.51/16.57 % conjectures 26
% 3.51/16.57 % EPR 10
% 3.51/16.57 % Horn 24
% 3.51/16.57 % unary 9
% 3.51/16.57 % binary 8
% 3.51/16.57 % lits 56
% 3.51/16.57 % lits eq 0
% 3.51/16.57 % fd_pure 0
% 3.51/16.57 % fd_pseudo 0
% 3.51/16.57 % fd_cond 0
% 3.51/16.57 % fd_pseudo_cond 0
% 3.51/16.57 % AC symbols 0
% 3.51/16.57
% 3.51/16.57 % ------ Schedule dynamic 5 is on
% 3.51/16.57
% 3.51/16.57 % ------ no equalities: superposition off
% 3.51/16.57
% 3.51/16.57 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.51/16.57
% 3.51/16.57
% 3.51/16.57 % ------
% 3.51/16.57 % Current options:
% 3.51/16.57 % ------
% 3.51/16.57
% 3.51/16.57
% 3.51/16.57 %
% 3.51/16.57
% 3.51/16.57 % ------ Proving...
% 3.51/16.57 %
% 3.51/16.57
% 3.51/16.57 % SZS status Unsatisfiable for theBenchmark.p
% 3.51/16.57
% 3.51/16.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.51/16.57
% 3.51/16.57
%------------------------------------------------------------------------------