%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN642-1 : 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 : n005.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 03:41:17 PM UTC 2026
% Result : Unsatisfiable 4.11s 1.23s
% Output : CNFRefutation 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 15 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 82 ( 42 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p15(f3(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_1) ).
fof(f2,negated_conjecture,
p15(f3(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_2) ).
fof(f4,negated_conjecture,
! [X0] : p6(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_4) ).
fof(f9,negated_conjecture,
p6(f8(f3(c19)),f8(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_9) ).
fof(f14,negated_conjecture,
p6(f8(f3(c18)),f8(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_14) ).
fof(f23,negated_conjecture,
! [X2,X0,X1] :
( ~ p6(X2,X1)
| ~ p6(X2,X0)
| p6(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_23) ).
fof(f28,negated_conjecture,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_28) ).
fof(f33,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p6(X0,X2)
| ~ p6(X1,X3)
| p6(f9(X0,X1),f9(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_33) ).
fof(f36,negated_conjecture,
! [X0,X1] :
( ~ p15(X1)
| ~ p15(X0)
| p6(f8(f10(X0,X1)),f9(f8(X0),f8(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_36) ).
tcf(c_91,negated_conjecture,
p15(f3(c19)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_92,negated_conjecture,
p15(f3(c18)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_94,negated_conjecture,
! [X0: $i] : p6(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_99,negated_conjecture,
p6(f8(f3(c19)),f8(c19)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_104,negated_conjecture,
p6(f8(f3(c18)),f8(c18)),
inference(cnf_transformation,[],[f14]) ).
tcf(c_113,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p6(X1,X2)
| ~ p6(X0,X2)
| ~ p6(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_118,negated_conjecture,
~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
inference(cnf_transformation,[],[f28]) ).
tcf(c_123,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p6(f9(X0,X2),f9(X1,X3))
| ~ p6(X2,X3)
| ~ p6(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_126,negated_conjecture,
! [X0: $i,X1: $i] :
( p6(f8(f10(X0,X1)),f9(f8(X0),f8(X1)))
| ~ p15(X1)
| ~ p15(X0) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_443,plain,
! [X0: $i] :
( p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18)))
| ~ p6(X0,f9(f8(c19),f8(c18)))
| ~ p6(X0,f8(f10(f3(c19),f3(c18)))) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_445,plain,
! [X0: $i] :
( p6(f8(f10(f3(c19),X0)),f9(f8(f3(c19)),f8(X0)))
| ~ p15(X0)
| ~ p15(f3(c19)) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_468,plain,
( p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18)))
| ~ p6(f9(f8(c19),f8(c18)),f9(f8(c19),f8(c18)))
| ~ p6(f9(f8(c19),f8(c18)),f8(f10(f3(c19),f3(c18)))) ),
inference(instantiation,[status(thm)],[c_443]) ).
tcf(c_469,plain,
p6(f9(f8(c19),f8(c18)),f9(f8(c19),f8(c18))),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_472,plain,
! [X0: $i,X1: $i] :
( p6(f9(X0,X1),f9(f8(c19),f8(c18)))
| ~ p6(X1,f8(c18))
| ~ p6(X0,f8(c19)) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_476,plain,
( p6(f8(f10(f3(c19),f3(c18))),f9(f8(f3(c19)),f8(f3(c18))))
| ~ p15(f3(c18))
| ~ p15(f3(c19)) ),
inference(instantiation,[status(thm)],[c_445]) ).
tcf(c_539,plain,
! [X0: $i] :
( p6(f9(f8(c19),f8(c18)),f8(f10(f3(c19),f3(c18))))
| ~ p6(X0,f9(f8(c19),f8(c18)))
| ~ p6(X0,f8(f10(f3(c19),f3(c18)))) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_705,plain,
! [X0: $i,X1: $i] :
( p6(f9(f8(X0),X1),f9(f8(c19),f8(c18)))
| ~ p6(X1,f8(c18))
| ~ p6(f8(X0),f8(c19)) ),
inference(instantiation,[status(thm)],[c_472]) ).
tcf(c_858,plain,
! [X0: $i] :
( p6(f9(f8(c19),f8(c18)),f8(f10(f3(c19),f3(c18))))
| ~ p6(f9(f8(f3(c19)),X0),f9(f8(c19),f8(c18)))
| ~ p6(f9(f8(f3(c19)),X0),f8(f10(f3(c19),f3(c18)))) ),
inference(instantiation,[status(thm)],[c_539]) ).
tcf(c_1202,plain,
! [X0: $i] :
( p6(f9(f8(X0),f8(f3(c18))),f9(f8(c19),f8(c18)))
| ~ p6(f8(X0),f8(c19))
| ~ p6(f8(f3(c18)),f8(c18)) ),
inference(instantiation,[status(thm)],[c_705]) ).
tcf(c_2528,plain,
( p6(f9(f8(f3(c19)),f8(f3(c18))),f9(f8(c19),f8(c18)))
| ~ p6(f8(f3(c18)),f8(c18))
| ~ p6(f8(f3(c19)),f8(c19)) ),
inference(instantiation,[status(thm)],[c_1202]) ).
tcf(c_2864,plain,
( p6(f9(f8(c19),f8(c18)),f8(f10(f3(c19),f3(c18))))
| ~ p6(f9(f8(f3(c19)),f8(f3(c18))),f9(f8(c19),f8(c18)))
| ~ p6(f9(f8(f3(c19)),f8(f3(c18))),f8(f10(f3(c19),f3(c18)))) ),
inference(instantiation,[status(thm)],[c_858]) ).
tcf(c_3612,plain,
p6(f8(f10(f3(c19),f3(c18))),f8(f10(f3(c19),f3(c18)))),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_3617,plain,
! [X0: $i,X1: $i] :
( p6(X1,f8(f10(f3(c19),f3(c18))))
| ~ p6(X0,X1)
| ~ p6(X0,f8(f10(f3(c19),f3(c18)))) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_4366,plain,
! [X0: $i] :
( p6(X0,f8(f10(f3(c19),f3(c18))))
| ~ p6(f8(f10(f3(c19),f3(c18))),X0)
| ~ p6(f8(f10(f3(c19),f3(c18))),f8(f10(f3(c19),f3(c18)))) ),
inference(instantiation,[status(thm)],[c_3617]) ).
tcf(c_7138,plain,
( p6(f9(f8(f3(c19)),f8(f3(c18))),f8(f10(f3(c19),f3(c18))))
| ~ p6(f8(f10(f3(c19),f3(c18))),f8(f10(f3(c19),f3(c18))))
| ~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(f3(c19)),f8(f3(c18)))) ),
inference(instantiation,[status(thm)],[c_4366]) ).
tcf(c_7139,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7138,c_3612,c_2864,c_2528,c_476,c_469,c_468,c_118,c_99,c_104,c_91,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN642-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.33 % Computer : n005.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Fri Sep 25 01:57:47 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.33 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.36 Running first-order theorem proving
% 0.07/0.36 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
% 0.10/0.37
% 0.10/0.37 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.37
% 0.10/0.37 % Detected problem language: tptp
% 0.10/0.38 % Proving...
% 4.11/1.23 % SZS status Started for theBenchmark.p
% 4.11/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 4.11/1.23
% 4.11/1.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.11/1.23
% 4.11/1.23 % ------ iProver source info
% 4.11/1.23
% 4.11/1.23 % git: date: 2026-07-19 20:42:38 +0200
% 4.11/1.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.11/1.23 % git: non_committed_changes: false
% 4.11/1.23
% 4.11/1.23 % ------ Parsing...% successful
% 4.11/1.23
% 4.11/1.23
% 4.11/1.23 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.11/1.23
% 4.11/1.23 % ------ Preprocessing... sf_s rm: 22 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.11/1.23
% 4.11/1.23 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.11/1.23 % ------ Proving...
% 4.11/1.23 % ------ Problem Properties
% 4.11/1.23
% 4.11/1.23 %
% 4.11/1.23 % clauses 20
% 4.11/1.23 % conjectures 20
% 4.11/1.23 % EPR 5
% 4.11/1.23 % Horn 20
% 4.11/1.23 % unary 9
% 4.11/1.23 % binary 3
% 4.11/1.23 % lits 39
% 4.11/1.23 % lits eq 0
% 4.11/1.23 % fd_pure 0
% 4.11/1.23 % fd_pseudo 0
% 4.11/1.23 % fd_cond 0
% 4.11/1.23 % fd_pseudo_cond 0
% 4.11/1.23 % AC symbols 0
% 4.11/1.23
% 4.11/1.23 % ------ Schedule dynamic 5 is on
% 4.11/1.23
% 4.11/1.23 % ------ no equalities: superposition off
% 4.11/1.23
% 4.11/1.23 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.11/1.23
% 4.11/1.23
% 4.11/1.23 % ------
% 4.11/1.23 % Current options:
% 4.11/1.23 % ------
% 4.11/1.23
% 4.11/1.23
% 4.11/1.23 %
% 4.11/1.23
% 4.11/1.23 % ------ Proving...
% 4.11/1.23 %
% 4.11/1.23
% 4.11/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 4.11/1.23
% 4.11/1.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.11/1.23
% 4.11/1.23
%------------------------------------------------------------------------------