%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN647-1 : 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 03:41:18 PM UTC 2026
% Result : Unsatisfiable 1.94s 6.28s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 18 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 74 ( 38 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 10 ( 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; 4 con; 0-1 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f7,negated_conjecture,
~ p21(f17(c25),f17(c22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p21_7) ).
fof(f9,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).
fof(f10,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
fof(f12,negated_conjecture,
p20(f14(f11(c25)),f14(f11(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_12) ).
fof(f14,negated_conjecture,
p2(f13(f11(c23)),f13(f11(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
fof(f28,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
fof(f35,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_35) ).
fof(f36,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_36) ).
fof(f40,negated_conjecture,
! [X0,X1] :
( ~ p20(f14(f11(X0)),f14(f11(X1)))
| ~ p2(f13(f11(X0)),f13(f11(X1)))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f12(f11(X0)),f7(c24))
| p21(f17(X0),f17(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_40) ).
tcf(c_97,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_99,negated_conjecture,
~ p21(f17(c25),f17(c22)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_101,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_102,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_104,negated_conjecture,
p20(f14(f11(c25)),f14(f11(c22))),
inference(cnf_transformation,[],[f12]) ).
tcf(c_106,negated_conjecture,
p2(f13(f11(c23)),f13(f11(c22))),
inference(cnf_transformation,[],[f14]) ).
tcf(c_120,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_127,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(cnf_transformation,[],[f35]) ).
tcf(c_128,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(cnf_transformation,[],[f36]) ).
tcf(c_132,negated_conjecture,
! [X0: $i,X1: $i] :
( p21(f17(X0),f17(X1))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p20(f14(f11(X0)),f14(f11(X1)))
| ~ p2(f13(f11(X0)),f13(f11(X1))) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_501,plain,
! [X0: $i] :
( p21(f17(c25),f17(X0))
| ~ p2(f12(f11(c25)),f7(c24))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p20(f14(f11(c25)),f14(f11(X0)))
| ~ p2(f13(f11(c25)),f13(f11(X0))) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_544,plain,
( p21(f17(c25),f17(c22))
| ~ p2(f12(f11(c25)),f7(c24))
| ~ p2(f12(f11(c22)),f7(c24))
| ~ p20(f14(f11(c25)),f14(f11(c22)))
| ~ p2(f13(f11(c25)),f13(f11(c22))) ),
inference(instantiation,[status(thm)],[c_501]) ).
tcf(c_562,plain,
! [X0: $i] :
( p2(f13(f11(c25)),f13(f11(c22)))
| ~ p2(X0,f13(f11(c25)))
| ~ p2(X0,f13(f11(c22))) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_564,plain,
p2(f13(f11(c25)),f13(f11(c25))),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i] :
( p2(X1,f13(f11(c22)))
| ~ p2(X0,X1)
| ~ p2(X0,f13(f11(c22))) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_1020,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(f7(X1),X2)
| ~ p2(X0,X2)
| ~ p2(X0,f7(X1)) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_1349,plain,
! [X0: $i] :
( p2(X0,f13(f11(c22)))
| ~ p2(f13(f11(c23)),X0)
| ~ p2(f13(f11(c23)),f13(f11(c22))) ),
inference(instantiation,[status(thm)],[c_690]) ).
tcf(c_1558,plain,
! [X0: $i] :
( p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),X0)
| ~ p2(f13(f11(c25)),X0)
| ~ p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ),
inference(instantiation,[status(thm)],[c_1020]) ).
tcf(c_1757,plain,
( p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22)))
| ~ p2(f13(f11(c23)),f13(f11(c22)))
| ~ p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ),
inference(instantiation,[status(thm)],[c_1349]) ).
tcf(c_2018,plain,
( p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25)))
| ~ p2(f13(f11(c25)),f13(f11(c25)))
| ~ p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ),
inference(instantiation,[status(thm)],[c_1558]) ).
tcf(c_2264,plain,
( p2(f13(f11(c25)),f13(f11(c22)))
| ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25)))
| ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22))) ),
inference(instantiation,[status(thm)],[c_562]) ).
tcf(c_2266,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2264,c_2018,c_1757,c_564,c_544,c_127,c_128,c_104,c_106,c_99,c_101,c_102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN647-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.38 % Computer : n011.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Fri Sep 25 01:59:04 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.41 Running first-order theorem proving
% 0.15/5.41 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 1.94/6.28 % SZS status Started for theBenchmark.p
% 1.94/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.94/6.28
% 1.94/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.94/6.28
% 1.94/6.28 % ------ iProver source info
% 1.94/6.28
% 1.94/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.94/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.94/6.28 % git: non_committed_changes: false
% 1.94/6.28
% 1.94/6.28 % ------ Parsing...% successful
% 1.94/6.28
% 1.94/6.28
% 1.94/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.94/6.28
% 1.94/6.28 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.94/6.28
% 1.94/6.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.94/6.28 % ------ Proving...
% 1.94/6.28 % ------ Problem Properties
% 1.94/6.28
% 1.94/6.28 %
% 1.94/6.28 % clauses 42
% 1.94/6.28 % conjectures 42
% 1.94/6.28 % EPR 13
% 1.94/6.28 % Horn 42
% 1.94/6.28 % unary 21
% 1.94/6.28 % binary 9
% 1.94/6.28 % lits 81
% 1.94/6.28 % lits eq 0
% 1.94/6.28 % fd_pure 0
% 1.94/6.28 % fd_pseudo 0
% 1.94/6.28 % fd_cond 0
% 1.94/6.28 % fd_pseudo_cond 0
% 1.94/6.28 % AC symbols 0
% 1.94/6.28
% 1.94/6.28 % ------ Schedule dynamic 5 is on
% 1.94/6.28
% 1.94/6.28 % ------ no equalities: superposition off
% 1.94/6.28
% 1.94/6.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.94/6.28
% 1.94/6.28
% 1.94/6.28 % ------
% 1.94/6.28 % Current options:
% 1.94/6.28 % ------
% 1.94/6.28
% 1.94/6.28
% 1.94/6.28 %
% 1.94/6.28
% 1.94/6.28 % ------ Proving...
% 1.94/6.28 %
% 1.94/6.28
% 1.94/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.94/6.28
% 1.94/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.94/6.28
% 1.94/6.28
%------------------------------------------------------------------------------