%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN651-1 : 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 : n006.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 1.32s 1.35s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f13,negated_conjecture,
p23(f5(c27,c28),c30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_13) ).
fof(f26,negated_conjecture,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_26) ).
fof(f28,negated_conjecture,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p23_28) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p23(f5(f7(f10(c24,f12(c25,X1)),X0),X2),X3)
| p23(f5(X0,f14(f16(f18(f20(c31,X1),X2),X0),X3)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_41) ).
fof(f43,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p23(f5(f7(f10(c24,X0),X1),X2),X4)
| ~ p23(f5(X1,X4),X3)
| p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_43) ).
fof(f44,negated_conjecture,
! [X2,X0,X1] :
( ~ p23(f5(f7(f10(c24,c26),c27),X2),X1)
| ~ p23(f5(c27,X0),X2)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_44) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X3)
| p23(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c31,X0),X2),X1),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_45) ).
tcf(c_106,negated_conjecture,
p23(f5(c27,c28),c30),
inference(cnf_transformation,[],[f13]) ).
tcf(c_119,negated_conjecture,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
inference(cnf_transformation,[],[f26]) ).
tcf(c_121,negated_conjecture,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
inference(cnf_transformation,[],[f28]) ).
tcf(c_134,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p23(f5(X1,f14(f16(f18(f20(c31,X0),X2),X1),X3)),X3)
| ~ p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X3) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_136,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X4)
| ~ p23(f5(X1,X3),X4)
| ~ p23(f5(f7(f10(c24,X0),X1),X2),X3) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_137,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X2),X1)
| ~ p23(f5(c27,X2),X0)
| ~ p23(f5(f7(f10(c24,c26),c27),X0),X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_138,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p23(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c31,X0),X2),X1),X3))
| ~ p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X3) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_369,plain,
! [X0: $i] :
( p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),X0)
| ~ p23(f5(c27,c28),c30)
| ~ p23(f5(f7(f10(c24,c26),c27),c30),X0) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_377,plain,
( p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29)
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_384,plain,
( p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29))
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_397,plain,
! [X0: $i,X1: $i] :
( p23(f5(f7(f10(c24,f12(c25,X0)),c27),X1),c29)
| ~ p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29)
| ~ p23(f5(f7(f10(c24,X0),c27),X1),f14(f16(f18(f20(c31,c26),c30),c27),c29)) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_435,plain,
( p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29))
| ~ p23(f5(c27,c28),c30)
| ~ p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29)) ),
inference(instantiation,[status(thm)],[c_369]) ).
tcf(c_623,plain,
( p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29)
| ~ p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29)
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29)) ),
inference(instantiation,[status(thm)],[c_397]) ).
tcf(c_624,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_623,c_435,c_384,c_377,c_121,c_119,c_106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN651-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.42 % Computer : n006.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Fri Sep 25 01:59:26 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.47 Running first-order theorem proving
% 0.17/0.47 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
% 0.23/0.48
% 0.23/0.48 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.48
% 0.23/0.48 % Detected problem language: tptp
% 0.23/0.50 % Proving...
% 1.32/1.35 % SZS status Started for theBenchmark.p
% 1.32/1.35 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.35
% 1.32/1.35 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.32/1.35
% 1.32/1.35 % ------ iProver source info
% 1.32/1.35
% 1.32/1.35 % git: date: 2026-07-19 20:42:38 +0200
% 1.32/1.35 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.32/1.35 % git: non_committed_changes: false
% 1.32/1.35
% 1.32/1.35 % ------ Parsing...% successful
% 1.32/1.35
% 1.32/1.35
% 1.32/1.35 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.32/1.35
% 1.32/1.35 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.32/1.35
% 1.32/1.35 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.32/1.35 % ------ Proving...
% 1.32/1.35 % ------ Problem Properties
% 1.32/1.35
% 1.32/1.35 %
% 1.32/1.35 % clauses 45
% 1.32/1.35 % conjectures 45
% 1.32/1.35 % EPR 25
% 1.32/1.35 % Horn 45
% 1.32/1.35 % unary 15
% 1.32/1.35 % binary 6
% 1.32/1.35 % lits 100
% 1.32/1.35 % lits eq 0
% 1.32/1.35 % fd_pure 0
% 1.32/1.35 % fd_pseudo 0
% 1.32/1.35 % fd_cond 0
% 1.32/1.35 % fd_pseudo_cond 0
% 1.32/1.35 % AC symbols 0
% 1.32/1.35
% 1.32/1.35 % ------ Schedule dynamic 5 is on
% 1.32/1.35
% 1.32/1.35 % ------ no equalities: superposition off
% 1.32/1.35
% 1.32/1.35 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.32/1.35
% 1.32/1.35
% 1.32/1.35 % ------
% 1.32/1.35 % Current options:
% 1.32/1.35 % ------
% 1.32/1.35
% 1.32/1.35
% 1.32/1.35 %
% 1.32/1.35
% 1.32/1.35 % ------ Proving...
% 1.32/1.35 %
% 1.32/1.35
% 1.32/1.35 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.35
% 1.32/1.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.32/1.35
% 1.32/1.35
%------------------------------------------------------------------------------