%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN648-1 : 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 2.75s 6.30s
% Output : CNFRefutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 102 ( 49 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 7 ( 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 : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_5) ).
fof(f14,negated_conjecture,
p2(c27,c30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
fof(f15,negated_conjecture,
p26(c31,c30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26_15) ).
fof(f16,negated_conjecture,
~ p24(f4(c27,c28),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p24_16) ).
fof(f30,negated_conjecture,
! [X0,X1] :
( ~ p24(f4(f6(c32,c30),X0),X1)
| p24(f4(c30,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_30) ).
fof(f43,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p24(f4(X3,f17(f19(f21(f23(c33,X0),X1),X2),X3)),f9(f11(f13(f15(c34,X0),X1),X2),X3))
| ~ p3(X1,f4(X2,c28))
| ~ p26(c31,X3)
| ~ p2(X2,X3)
| ~ p3(X0,X1)
| p24(X0,c29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_43) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p3(X2,f4(X3,c28))
| ~ p26(c31,X1)
| ~ p2(X3,X1)
| ~ p3(X0,X2)
| p24(f4(f6(c32,X1),f17(f19(f21(f23(c33,X0),X2),X3),X1)),f9(f11(f13(f15(c34,X0),X2),X3),X1))
| p24(X0,c29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_44) ).
tcf(c_97,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_106,negated_conjecture,
p2(c27,c30),
inference(cnf_transformation,[],[f14]) ).
tcf(c_107,negated_conjecture,
p26(c31,c30),
inference(cnf_transformation,[],[f15]) ).
tcf(c_108,negated_conjecture,
~ p24(f4(c27,c28),c29),
inference(cnf_transformation,[],[f16]) ).
tcf(c_122,negated_conjecture,
! [X0: $i,X1: $i] :
( p24(f4(c30,X0),X1)
| ~ p24(f4(f6(c32,c30),X0),X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_135,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p24(X1,c29)
| ~ p26(c31,X0)
| ~ p2(X3,X0)
| ~ p3(X1,X2)
| ~ p3(X2,f4(X3,c28))
| ~ p24(f4(X0,f17(f19(f21(f23(c33,X1),X2),X3),X0)),f9(f11(f13(f15(c34,X1),X2),X3),X0)) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_136,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p24(X2,c29)
| p24(f4(f6(c32,X3),f17(f19(f21(f23(c33,X2),X0),X1),X3)),f9(f11(f13(f15(c34,X2),X0),X1),X3))
| ~ p26(c31,X3)
| ~ p2(X1,X3)
| ~ p3(X2,X0)
| ~ p3(X0,f4(X1,c28)) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_379,plain,
! [X0: $i,X1: $i,X2: $i] :
( p24(X1,c29)
| ~ p26(c31,X0)
| ~ p2(X2,X0)
| ~ p3(X1,f4(X2,c28))
| ~ p3(f4(X2,c28),f4(X2,c28))
| ~ p24(f4(X0,f17(f19(f21(f23(c33,X1),f4(X2,c28)),X2),X0)),f9(f11(f13(f15(c34,X1),f4(X2,c28)),X2),X0)) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_380,plain,
! [X0: $i] : p3(f4(X0,c28),f4(X0,c28)),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_394,plain,
! [X0: $i,X1: $i,X2: $i] :
( p24(X1,c29)
| p24(f4(f6(c32,X2),f17(f19(f21(f23(c33,X1),f4(X0,c28)),X0),X2)),f9(f11(f13(f15(c34,X1),f4(X0,c28)),X0),X2))
| ~ p26(c31,X2)
| ~ p2(X0,X2)
| ~ p3(X1,f4(X0,c28))
| ~ p3(f4(X0,c28),f4(X0,c28)) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_415,plain,
! [X0: $i,X1: $i] :
( p24(f4(X1,c28),c29)
| ~ p26(c31,X0)
| ~ p2(X1,X0)
| ~ p3(f4(X1,c28),f4(X1,c28))
| ~ p24(f4(X0,f17(f19(f21(f23(c33,f4(X1,c28)),f4(X1,c28)),X1),X0)),f9(f11(f13(f15(c34,f4(X1,c28)),f4(X1,c28)),X1),X0)) ),
inference(instantiation,[status(thm)],[c_379]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i] :
( p24(f4(X0,c28),c29)
| p24(f4(f6(c32,X1),f17(f19(f21(f23(c33,f4(X0,c28)),f4(X0,c28)),X0),X1)),f9(f11(f13(f15(c34,f4(X0,c28)),f4(X0,c28)),X0),X1))
| ~ p26(c31,X1)
| ~ p2(X0,X1)
| ~ p3(f4(X0,c28),f4(X0,c28)) ),
inference(instantiation,[status(thm)],[c_394]) ).
tcf(c_545,plain,
! [X0: $i] :
( p24(f4(c27,c28),c29)
| p24(f4(f6(c32,X0),f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),X0)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),X0))
| ~ p26(c31,X0)
| ~ p2(c27,X0)
| ~ p3(f4(c27,c28),f4(c27,c28)) ),
inference(instantiation,[status(thm)],[c_457]) ).
tcf(c_546,plain,
( p24(f4(c27,c28),c29)
| p24(f4(f6(c32,c30),f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30))
| ~ p26(c31,c30)
| ~ p2(c27,c30)
| ~ p3(f4(c27,c28),f4(c27,c28)) ),
inference(instantiation,[status(thm)],[c_545]) ).
tcf(c_589,plain,
p3(f4(c27,c28),f4(c27,c28)),
inference(instantiation,[status(thm)],[c_380]) ).
tcf(c_692,plain,
( p24(f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30))
| ~ p24(f4(f6(c32,c30),f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30)) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_753,plain,
( p24(f4(c27,c28),c29)
| ~ p26(c31,c30)
| ~ p2(c27,c30)
| ~ p3(f4(c27,c28),f4(c27,c28))
| ~ p24(f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30)) ),
inference(instantiation,[status(thm)],[c_415]) ).
tcf(c_754,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_753,c_692,c_589,c_546,c_108,c_106,c_107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN648-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.38 % Computer : n011.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Fri Sep 25 01:59:21 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 2.75/6.30 % SZS status Started for theBenchmark.p
% 2.75/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 2.75/6.30
% 2.75/6.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.75/6.30
% 2.75/6.30 % ------ iProver source info
% 2.75/6.30
% 2.75/6.30 % git: date: 2026-07-19 20:42:38 +0200
% 2.75/6.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.75/6.30 % git: non_committed_changes: false
% 2.75/6.30
% 2.75/6.30 % ------ Parsing...% successful
% 2.75/6.30
% 2.75/6.30
% 2.75/6.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.75/6.30
% 2.75/6.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.75/6.30
% 2.75/6.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.75/6.30 % ------ Proving...
% 2.75/6.30 % ------ Problem Properties
% 2.75/6.30
% 2.75/6.30 %
% 2.75/6.30 % clauses 44
% 2.75/6.30 % conjectures 44
% 2.75/6.30 % EPR 30
% 2.75/6.30 % Horn 43
% 2.75/6.30 % unary 16
% 2.75/6.30 % binary 1
% 2.75/6.30 % lits 107
% 2.75/6.30 % lits eq 0
% 2.75/6.30 % fd_pure 0
% 2.75/6.30 % fd_pseudo 0
% 2.75/6.30 % fd_cond 0
% 2.75/6.30 % fd_pseudo_cond 0
% 2.75/6.30 % AC symbols 0
% 2.75/6.30
% 2.75/6.30 % ------ Schedule dynamic 5 is on
% 2.75/6.30
% 2.75/6.30 % ------ no equalities: superposition off
% 2.75/6.30
% 2.75/6.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.75/6.30
% 2.75/6.30
% 2.75/6.30 % ------
% 2.75/6.30 % Current options:
% 2.75/6.30 % ------
% 2.75/6.30
% 2.75/6.30
% 2.75/6.30 %
% 2.75/6.30
% 2.75/6.30 % ------ Proving...
% 2.75/6.30 %
% 2.75/6.30
% 2.75/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 2.75/6.30
% 2.75/6.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.75/6.30
% 2.75/6.30
%------------------------------------------------------------------------------