%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN657-1 : 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 : n008.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 03:41:19 PM UTC 2026
% Result : Unsatisfiable 0.76s 1.09s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 41 ( 18 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f11,negated_conjecture,
~ p6(c28,f10(c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_11) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] : p6(f21(f8(X0,f9(X1,X2))),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_15) ).
fof(f25,negated_conjecture,
! [X2,X0,X1] :
( ~ p6(X2,X1)
| ~ p6(X2,X0)
| p6(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_25) ).
fof(f44,negated_conjecture,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_44) ).
fof(f45,negated_conjecture,
! [X0] :
( ~ p25(X0,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c31,c34)),f19(f20(c31,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_45) ).
fof(f48,negated_conjecture,
! [X2,X0,X1] :
( p4(f5(X0,c36,X1),f5(X0,c36,X2))
| p25(f22(X0,X1,X2),f18(X0))
| p6(f21(X0),f10(c33)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_48) ).
fof(f49,negated_conjecture,
! [X2,X0,X1] :
( ~ p24(f19(f20(X1,X2)),f19(f20(X1,f22(X0,X1,X2))))
| p4(f5(X0,c36,X1),f5(X0,c36,X2))
| p6(f21(X0),f10(c33)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_49) ).
tcf(c_109,negated_conjecture,
~ p6(c28,f10(c33)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_113,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : p6(f21(f8(X0,f9(X1,X2))),X1),
inference(cnf_transformation,[],[f15]) ).
tcf(c_123,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p6(X1,X2)
| ~ p6(X0,X2)
| ~ p6(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_142,negated_conjecture,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
inference(cnf_transformation,[],[f44]) ).
tcf(c_143,negated_conjecture,
! [X0: $i] :
( p24(f19(f20(c31,c34)),f19(f20(c31,X0)))
| ~ p25(X0,f18(f8(c27,f9(c28,c29)))) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_146,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p6(f21(X0),f10(c33))
| p25(f22(X0,X1,X2),f18(X0))
| p4(f5(X0,c36,X1),f5(X0,c36,X2)) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_147,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p6(f21(X2),f10(c33))
| p4(f5(X2,c36,X0),f5(X2,c36,X1))
| ~ p24(f19(f20(X0,X1)),f19(f20(X0,f22(X2,X0,X1)))) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_582,plain,
! [X0: $i] :
( p6(c28,f10(c33))
| ~ p6(X0,c28)
| ~ p6(X0,f10(c33)) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_595,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29))))
| p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_596,plain,
( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34))
| ~ p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34)))) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_617,plain,
( p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34))))
| ~ p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29)))) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_651,plain,
( p6(c28,f10(c33))
| ~ p6(f21(f8(c27,f9(c28,c29))),c28)
| ~ p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
inference(instantiation,[status(thm)],[c_582]) ).
tcf(c_850,plain,
p6(f21(f8(c27,f9(c28,c29))),c28),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_851,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_850,c_651,c_617,c_596,c_595,c_142,c_109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN657-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n008.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 02:01:10 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.44
% 0.10/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.44
% 0.10/0.44 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 0.76/1.09 % SZS status Started for theBenchmark.p
% 0.76/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 0.76/1.09
% 0.76/1.09 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.76/1.09
% 0.76/1.09 % ------ iProver source info
% 0.76/1.09
% 0.76/1.09 % git: date: 2026-07-19 20:42:38 +0200
% 0.76/1.09 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.76/1.09 % git: non_committed_changes: false
% 0.76/1.09
% 0.76/1.09 % ------ Parsing...% successful
% 0.76/1.09
% 0.76/1.09
% 0.76/1.09 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.76/1.09
% 0.76/1.09 % ------ Preprocessing... sf_s rm: 6 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.76/1.09
% 0.76/1.09 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.76/1.09 % ------ Proving...
% 0.76/1.09 % ------ Problem Properties
% 0.76/1.09
% 0.76/1.09 %
% 0.76/1.09 % clauses 44
% 0.76/1.09 % conjectures 44
% 0.76/1.09 % EPR 16
% 0.76/1.09 % Horn 42
% 0.76/1.09 % unary 17
% 0.76/1.09 % binary 8
% 0.76/1.09 % lits 94
% 0.76/1.09 % lits eq 0
% 0.76/1.09 % fd_pure 0
% 0.76/1.09 % fd_pseudo 0
% 0.76/1.09 % fd_cond 0
% 0.76/1.09 % fd_pseudo_cond 0
% 0.76/1.09 % AC symbols 0
% 0.76/1.09
% 0.76/1.09 % ------ Schedule dynamic 5 is on
% 0.76/1.09
% 0.76/1.09 % ------ no equalities: superposition off
% 0.76/1.09
% 0.76/1.09 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.76/1.09
% 0.76/1.09
% 0.76/1.09 % ------
% 0.76/1.09 % Current options:
% 0.76/1.09 % ------
% 0.76/1.09
% 0.76/1.09
% 0.76/1.09 %
% 0.76/1.09
% 0.76/1.09 % ------ Proving...
% 0.76/1.09 %
% 0.76/1.09
% 0.76/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 0.76/1.09
% 0.76/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.76/1.09
% 0.76/1.09
%------------------------------------------------------------------------------