%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN659-1 : 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 : n004.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 3.51s 1.27s
% Output : CNFRefutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 88 ( 45 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 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 : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
fof(f10,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_10) ).
fof(f27,negated_conjecture,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_27) ).
fof(f29,negated_conjecture,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_29) ).
fof(f38,negated_conjecture,
! [X2,X0,X1] :
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_38) ).
fof(f39,negated_conjecture,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p24_39) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p12(X3,X1)
| ~ p24(X2,X3)
| ~ p14(X2,X0)
| p24(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_41) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p7(X0,X2)
| ~ p12(X1,X3)
| p14(f15(X0,X1),f15(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_45) ).
tcf(c_102,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_109,negated_conjecture,
! [X0: $i] : p12(X0,X0),
inference(cnf_transformation,[],[f10]) ).
tcf(c_126,negated_conjecture,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
inference(cnf_transformation,[],[f27]) ).
tcf(c_128,negated_conjecture,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
inference(cnf_transformation,[],[f29]) ).
tcf(c_137,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p12(X1,X2)
| ~ p12(X0,X2)
| ~ p12(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_138,negated_conjecture,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
inference(cnf_transformation,[],[f39]) ).
tcf(c_140,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p24(X1,X3)
| ~ p24(X0,X2)
| ~ p12(X2,X3)
| ~ p14(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_144,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p14(f15(X0,X2),f15(X1,X3))
| ~ p12(X2,X3)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_158,plain,
p7(c29,c29),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_533,plain,
! [X0: $i,X1: $i] :
( p24(X0,X1)
| ~ p12(f13(c32,c33),X1)
| ~ p14(f15(c29,f13(c40,c41)),X0)
| ~ p24(f15(c29,f13(c40,c41)),f13(c32,c33)) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_540,plain,
! [X0: $i] :
( p24(X0,f13(c32,c33))
| ~ p12(f13(c32,c33),f13(c32,c33))
| ~ p14(f15(c29,f13(c40,c41)),X0)
| ~ p24(f15(c29,f13(c40,c41)),f13(c32,c33)) ),
inference(instantiation,[status(thm)],[c_533]) ).
tcf(c_541,plain,
p12(f13(c32,c33),f13(c32,c33)),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_563,plain,
! [X0: $i,X1: $i] :
( p24(f15(X0,X1),f13(c32,c33))
| ~ p12(f13(c32,c33),f13(c32,c33))
| ~ p24(f15(c29,f13(c40,c41)),f13(c32,c33))
| ~ p14(f15(c29,f13(c40,c41)),f15(X0,X1)) ),
inference(instantiation,[status(thm)],[c_540]) ).
tcf(c_564,plain,
! [X0: $i,X1: $i] :
( p14(f15(c29,f13(c40,c41)),f15(X1,X0))
| ~ p7(c29,X1)
| ~ p12(f13(c40,c41),X0) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i] :
( p12(f13(c40,c41),X1)
| ~ p12(X0,X1)
| ~ p12(X0,f13(c40,c41)) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_629,plain,
! [X0: $i,X1: $i,X2: $i] :
( p14(f15(c29,f13(c40,c41)),f15(X2,f13(X0,X1)))
| ~ p7(c29,X2)
| ~ p12(f13(c40,c41),f13(X0,X1)) ),
inference(instantiation,[status(thm)],[c_564]) ).
tcf(c_724,plain,
! [X0: $i] :
( p12(f13(c40,c41),X0)
| ~ p12(f13(f16(c39),f17(c39)),X0)
| ~ p12(f13(f16(c39),f17(c39)),f13(c40,c41)) ),
inference(instantiation,[status(thm)],[c_627]) ).
tcf(c_827,plain,
( p12(f13(c40,c41),f13(f16(c39),f17(c39)))
| ~ p12(f13(f16(c39),f17(c39)),f13(c40,c41))
| ~ p12(f13(f16(c39),f17(c39)),f13(f16(c39),f17(c39))) ),
inference(instantiation,[status(thm)],[c_724]) ).
tcf(c_828,plain,
p12(f13(f16(c39),f17(c39)),f13(f16(c39),f17(c39))),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_983,plain,
! [X0: $i] :
( p14(f15(c29,f13(c40,c41)),f15(X0,f13(f16(c39),f17(c39))))
| ~ p7(c29,X0)
| ~ p12(f13(c40,c41),f13(f16(c39),f17(c39))) ),
inference(instantiation,[status(thm)],[c_629]) ).
tcf(c_984,plain,
( p14(f15(c29,f13(c40,c41)),f15(c29,f13(f16(c39),f17(c39))))
| ~ p7(c29,c29)
| ~ p12(f13(c40,c41),f13(f16(c39),f17(c39))) ),
inference(instantiation,[status(thm)],[c_983]) ).
tcf(c_1809,plain,
! [X0: $i] :
( p24(f15(X0,f13(f16(c39),f17(c39))),f13(c32,c33))
| ~ p12(f13(c32,c33),f13(c32,c33))
| ~ p24(f15(c29,f13(c40,c41)),f13(c32,c33))
| ~ p14(f15(c29,f13(c40,c41)),f15(X0,f13(f16(c39),f17(c39)))) ),
inference(instantiation,[status(thm)],[c_563]) ).
tcf(c_1810,plain,
( p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33))
| ~ p12(f13(c32,c33),f13(c32,c33))
| ~ p24(f15(c29,f13(c40,c41)),f13(c32,c33))
| ~ p14(f15(c29,f13(c40,c41)),f15(c29,f13(f16(c39),f17(c39)))) ),
inference(instantiation,[status(thm)],[c_1809]) ).
tcf(c_1811,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1810,c_984,c_828,c_827,c_541,c_138,c_126,c_128,c_158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN659-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 02:00:37 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.39 Running first-order theorem proving
% 0.03/0.39 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
% 0.03/0.40
% 0.03/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.40
% 0.03/0.40 % Detected problem language: tptp
% 0.03/0.42 % Proving...
% 3.51/1.27 % SZS status Started for theBenchmark.p
% 3.51/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.51/1.27
% 3.51/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.51/1.27
% 3.51/1.27 % ------ iProver source info
% 3.51/1.27
% 3.51/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 3.51/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.51/1.27 % git: non_committed_changes: false
% 3.51/1.27
% 3.51/1.27 % ------ Parsing...% successful
% 3.51/1.27
% 3.51/1.27
% 3.51/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.51/1.27
% 3.51/1.27 % ------ Preprocessing... sf_s rm: 13 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.51/1.27
% 3.51/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.51/1.27 % ------ Proving...
% 3.51/1.27 % ------ Problem Properties
% 3.51/1.27
% 3.51/1.27 %
% 3.51/1.27 % clauses 38
% 3.51/1.27 % conjectures 38
% 3.51/1.27 % EPR 16
% 3.51/1.27 % Horn 38
% 3.51/1.27 % unary 18
% 3.51/1.27 % binary 7
% 3.51/1.27 % lits 72
% 3.51/1.27 % lits eq 0
% 3.51/1.27 % fd_pure 0
% 3.51/1.27 % fd_pseudo 0
% 3.51/1.27 % fd_cond 0
% 3.51/1.27 % fd_pseudo_cond 0
% 3.51/1.27 % AC symbols 0
% 3.51/1.27
% 3.51/1.27 % ------ Schedule dynamic 5 is on
% 3.51/1.27
% 3.51/1.27 % ------ no equalities: superposition off
% 3.51/1.27
% 3.51/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.51/1.27
% 3.51/1.27
% 3.51/1.27 % ------
% 3.51/1.27 % Current options:
% 3.51/1.27 % ------
% 3.51/1.27
% 3.51/1.27
% 3.51/1.27 %
% 3.51/1.27
% 3.51/1.27 % ------ Proving...
% 3.51/1.27 %
% 3.51/1.27
% 3.51/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.51/1.27
% 3.51/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.51/1.27
% 3.51/1.27
%------------------------------------------------------------------------------