%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN609-1 : 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 : n012.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 03:41:12 PM UTC 2026
% Result : Unsatisfiable 3.75s 1.07s
% Output : CNFRefutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 83 ( 43 ~; 40 |; 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 : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
fof(f4,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
fof(f12,negated_conjecture,
! [X0,X1] :
( ~ p3(X0,X1)
| p2(f9(X0),f9(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f19,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_19) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p17(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p17(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_20) ).
fof(f24,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X1,X3)
| ~ p3(X0,X2)
| p3(f10(X0,X1),f10(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_24) ).
fof(f27,negated_conjecture,
p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_27) ).
fof(f28,negated_conjecture,
! [X0] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_28) ).
fof(f29,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_29) ).
tcf(c_80,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_82,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_90,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(f9(X0),f9(X1))
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_97,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_98,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p17(X1,X3)
| ~ p17(X0,X2)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_102,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p3(f10(X0,X2),f10(X1,X3))
| ~ p3(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_105,negated_conjecture,
p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))),
inference(cnf_transformation,[],[f27]) ).
tcf(c_106,negated_conjecture,
! [X0: $i] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))),
inference(cnf_transformation,[],[f28]) ).
tcf(c_107,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20)))),
inference(cnf_transformation,[],[f29]) ).
tcf(c_354,plain,
! [X0: $i,X1: $i] :
( p17(X0,X1)
| ~ p2(f6(f7(f8(c20))),X1)
| ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),X0)
| ~ p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20)))) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_363,plain,
! [X0: $i] :
( p17(X0,f6(f7(f8(c20))))
| ~ p2(f6(f7(f8(c20))),f6(f7(f8(c20))))
| ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),X0)
| ~ p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20)))) ),
inference(instantiation,[status(thm)],[c_354]) ).
tcf(c_364,plain,
p2(f6(f7(f8(c20))),f6(f7(f8(c20)))),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_380,plain,
! [X0: $i] :
( p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20))))
| ~ p2(f6(f7(f8(c20))),f6(f7(f8(c20))))
| ~ p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20))))
| ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21)))) ),
inference(instantiation,[status(thm)],[c_363]) ).
tcf(c_417,plain,
! [X0: $i] :
( p2(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))))
| ~ p3(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20)))))),f10(f14(f4(f9(c19)),c19),f12(X0,c21))) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_495,plain,
! [X0: $i] :
( p3(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20)))))),f10(f14(f4(f9(c19)),c19),f12(X0,c21)))
| ~ p3(f15(f4(f6(f7(f8(c20))))),f12(X0,c21))
| ~ p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19)) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_630,plain,
p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19)),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_841,plain,
! [X0: $i,X1: $i] :
( p3(f15(f4(f6(f7(f8(c20))))),f12(X1,c21))
| ~ p3(X0,f12(X1,c21))
| ~ p3(X0,f15(f4(f6(f7(f8(c20)))))) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_1215,plain,
! [X0: $i] :
( p3(f15(f4(f6(f7(f8(c20))))),f12(X0,c21))
| ~ p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f12(X0,c21))
| ~ p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))) ),
inference(instantiation,[status(thm)],[c_841]) ).
tcf(c_1706,plain,
( p3(f15(f4(f6(f7(f8(c20))))),f12(f15(f4(f6(f7(f8(c20))))),c21))
| ~ p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20))))))
| ~ p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f12(f15(f4(f6(f7(f8(c20))))),c21)) ),
inference(instantiation,[status(thm)],[c_1215]) ).
tcf(c_1707,plain,
p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f12(f15(f4(f6(f7(f8(c20))))),c21)),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2038,plain,
( p3(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20)))))),f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21)))
| ~ p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))
| ~ p3(f15(f4(f6(f7(f8(c20))))),f12(f15(f4(f6(f7(f8(c20))))),c21)) ),
inference(instantiation,[status(thm)],[c_495]) ).
tcf(c_2761,plain,
( p2(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))))
| ~ p3(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20)))))),f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))) ),
inference(instantiation,[status(thm)],[c_417]) ).
tcf(c_3244,plain,
( p17(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f6(f7(f8(c20))))
| ~ p2(f6(f7(f8(c20))),f6(f7(f8(c20))))
| ~ p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20))))
| ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21)))) ),
inference(instantiation,[status(thm)],[c_380]) ).
tcf(c_3991,plain,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f6(f7(f8(c20)))),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_3992,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3991,c_3244,c_2761,c_2038,c_1707,c_1706,c_630,c_364,c_107,c_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN609-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Fri Sep 25 01:52:35 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 3.75/1.07 % SZS status Started for theBenchmark.p
% 3.75/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 3.75/1.07
% 3.75/1.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.75/1.07
% 3.75/1.07 % ------ iProver source info
% 3.75/1.07
% 3.75/1.07 % git: date: 2026-07-19 20:42:38 +0200
% 3.75/1.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.75/1.07 % git: non_committed_changes: false
% 3.75/1.07
% 3.75/1.07 % ------ Parsing...% successful
% 3.75/1.07
% 3.75/1.07
% 3.75/1.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.75/1.07
% 3.75/1.07 % ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.75/1.07
% 3.75/1.07 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.75/1.07 % ------ Proving...
% 3.75/1.07 % ------ Problem Properties
% 3.75/1.07
% 3.75/1.07 %
% 3.75/1.07 % clauses 26
% 3.75/1.07 % conjectures 26
% 3.75/1.07 % EPR 7
% 3.75/1.07 % Horn 26
% 3.75/1.07 % unary 11
% 3.75/1.07 % binary 7
% 3.75/1.07 % lits 50
% 3.75/1.07 % lits eq 0
% 3.75/1.07 % fd_pure 0
% 3.75/1.07 % fd_pseudo 0
% 3.75/1.07 % fd_cond 0
% 3.75/1.07 % fd_pseudo_cond 0
% 3.75/1.07 % AC symbols 0
% 3.75/1.07
% 3.75/1.07 % ------ Schedule dynamic 5 is on
% 3.75/1.07
% 3.75/1.07 % ------ no equalities: superposition off
% 3.75/1.07
% 3.75/1.07 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.75/1.07
% 3.75/1.07
% 3.75/1.07 % ------
% 3.75/1.07 % Current options:
% 3.75/1.07 % ------
% 3.75/1.07
% 3.75/1.07
% 3.75/1.07 %
% 3.75/1.07
% 3.75/1.07 % ------ Proving...
% 3.75/1.07 %
% 3.75/1.07
% 3.75/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 3.75/1.07
% 3.75/1.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.75/1.07
% 3.75/1.07
%------------------------------------------------------------------------------