%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN709-1 : 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 : n018.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 03:41:26 PM UTC 2026
% Result : Unsatisfiable 3.80s 1.29s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 36 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,negated_conjecture,
! [X0] : p29(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29_14) ).
fof(f21,negated_conjecture,
! [X0] : p19(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_21) ).
fof(f29,negated_conjecture,
p46(f23(c58,c56),f20(c59,c60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p46_29) ).
fof(f59,negated_conjecture,
! [X0,X1] : p19(f25(f28(c64,X0),f34(c66,X1)),f34(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_59) ).
fof(f60,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p19(X3,X1)
| ~ p47(X2,X3)
| ~ p30(X2,X0)
| p47(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_60) ).
fof(f64,negated_conjecture,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p47_64) ).
fof(f72,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p29(X0,X2)
| ~ p19(X1,X3)
| p30(f31(X0,X1),f31(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30_72) ).
fof(f81,negated_conjecture,
! [X0,X1] :
( ~ p46(f23(c58,X0),f20(c59,X1))
| p47(f31(f33(c62,c63),f34(c66,X0)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_81) ).
fof(f83,negated_conjecture,
! [X0,X1] :
( ~ p47(f31(f33(c62,c63),X0),X1)
| p47(f31(f33(c62,c63),f25(f28(c64,c65),X0)),f25(f28(c64,c65),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_83) ).
tcf(c_145,negated_conjecture,
! [X0: $i] : p29(X0,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_152,negated_conjecture,
! [X0: $i] : p19(X0,X0),
inference(cnf_transformation,[],[f21]) ).
tcf(c_160,negated_conjecture,
p46(f23(c58,c56),f20(c59,c60)),
inference(cnf_transformation,[],[f29]) ).
tcf(c_190,negated_conjecture,
! [X0: $i,X1: $i] : p19(f25(f28(c64,X0),f34(c66,X1)),f34(X0,X1)),
inference(cnf_transformation,[],[f59]) ).
tcf(c_191,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p47(X1,X3)
| ~ p47(X0,X2)
| ~ p19(X2,X3)
| ~ p30(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_195,negated_conjecture,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
inference(cnf_transformation,[],[f64]) ).
tcf(c_203,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p30(f31(X0,X2),f31(X1,X3))
| ~ p19(X2,X3)
| ~ p29(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_212,negated_conjecture,
! [X0: $i,X1: $i] :
( p47(f31(f33(c62,c63),f34(c66,X0)),X1)
| ~ p46(f23(c58,X0),f20(c59,X1)) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_214,negated_conjecture,
! [X0: $i,X1: $i] :
( p47(f31(f33(c62,c63),f25(f28(c64,c65),X0)),f25(f28(c64,c65),X1))
| ~ p47(f31(f33(c62,c63),X0),X1) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_919,plain,
( p47(f31(f33(c62,c63),f34(c66,c56)),c60)
| ~ p46(f23(c58,c56),f20(c59,c60)) ),
inference(instantiation,[status(thm)],[c_212]) ).
tcf(c_926,plain,
( p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f25(f28(c64,c65),c60))
| ~ p47(f31(f33(c62,c63),f34(c66,c56)),c60) ),
inference(instantiation,[status(thm)],[c_214]) ).
tcf(c_941,plain,
! [X0: $i,X1: $i] :
( p47(X0,X1)
| ~ p19(f25(f28(c64,c65),c60),X1)
| ~ p30(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),X0)
| ~ p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f25(f28(c64,c65),c60)) ),
inference(instantiation,[status(thm)],[c_191]) ).
tcf(c_1012,plain,
! [X0: $i] :
( p47(X0,f25(f28(c64,c65),c60))
| ~ p19(f25(f28(c64,c65),c60),f25(f28(c64,c65),c60))
| ~ p30(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),X0)
| ~ p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f25(f28(c64,c65),c60)) ),
inference(instantiation,[status(thm)],[c_941]) ).
tcf(c_1013,plain,
p19(f25(f28(c64,c65),c60),f25(f28(c64,c65),c60)),
inference(instantiation,[status(thm)],[c_152]) ).
tcf(c_1109,plain,
! [X0: $i,X1: $i] :
( p47(f31(X0,X1),f25(f28(c64,c65),c60))
| ~ p19(f25(f28(c64,c65),c60),f25(f28(c64,c65),c60))
| ~ p30(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f31(X0,X1))
| ~ p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f25(f28(c64,c65),c60)) ),
inference(instantiation,[status(thm)],[c_1012]) ).
tcf(c_1110,plain,
! [X0: $i,X1: $i] :
( p30(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f31(X1,X0))
| ~ p29(f33(c62,c63),X1)
| ~ p19(f25(f28(c64,c65),f34(c66,c56)),X0) ),
inference(instantiation,[status(thm)],[c_203]) ).
tcf(c_1132,plain,
p29(f33(c62,c63),f33(c62,c63)),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_1295,plain,
! [X0: $i] :
( p30(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f31(f33(c62,c63),X0))
| ~ p29(f33(c62,c63),f33(c62,c63))
| ~ p19(f25(f28(c64,c65),f34(c66,c56)),X0) ),
inference(instantiation,[status(thm)],[c_1110]) ).
tcf(c_1679,plain,
( p30(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f31(f33(c62,c63),f34(c65,c56)))
| ~ p29(f33(c62,c63),f33(c62,c63))
| ~ p19(f25(f28(c64,c65),f34(c66,c56)),f34(c65,c56)) ),
inference(instantiation,[status(thm)],[c_1295]) ).
tcf(c_1680,plain,
p19(f25(f28(c64,c65),f34(c66,c56)),f34(c65,c56)),
inference(instantiation,[status(thm)],[c_190]) ).
tcf(c_1714,plain,
( p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60))
| ~ p19(f25(f28(c64,c65),c60),f25(f28(c64,c65),c60))
| ~ p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f25(f28(c64,c65),c60))
| ~ p30(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f31(f33(c62,c63),f34(c65,c56))) ),
inference(instantiation,[status(thm)],[c_1109]) ).
tcf(c_1715,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1714,c_1680,c_1679,c_1132,c_1013,c_926,c_919,c_195,c_160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN709-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n018.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 02:11:04 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 3.80/1.29 % SZS status Started for theBenchmark.p
% 3.80/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.80/1.29
% 3.80/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.80/1.29
% 3.80/1.29 % ------ iProver source info
% 3.80/1.29
% 3.80/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 3.80/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.80/1.29 % git: non_committed_changes: false
% 3.80/1.29
% 3.80/1.29 % ------ Parsing...% successful
% 3.80/1.29
% 3.80/1.29
% 3.80/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.80/1.29
% 3.80/1.29 % ------ Preprocessing... sf_s rm: 16 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.80/1.29
% 3.80/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.80/1.29 % ------ Proving...
% 3.80/1.29 % ------ Problem Properties
% 3.80/1.29
% 3.80/1.29 %
% 3.80/1.29 % clauses 67
% 3.80/1.29 % conjectures 67
% 3.80/1.29 % EPR 45
% 3.80/1.29 % Horn 67
% 3.80/1.29 % unary 27
% 3.80/1.29 % binary 2
% 3.80/1.29 % lits 148
% 3.80/1.29 % lits eq 0
% 3.80/1.29 % fd_pure 0
% 3.80/1.29 % fd_pseudo 0
% 3.80/1.29 % fd_cond 0
% 3.80/1.29 % fd_pseudo_cond 0
% 3.80/1.29 % AC symbols 0
% 3.80/1.29
% 3.80/1.29 % ------ Schedule dynamic 5 is on
% 3.80/1.29
% 3.80/1.29 % ------ no equalities: superposition off
% 3.80/1.29
% 3.80/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.80/1.29
% 3.80/1.29
% 3.80/1.29 % ------
% 3.80/1.29 % Current options:
% 3.80/1.29 % ------
% 3.80/1.29
% 3.80/1.29
% 3.80/1.29 %
% 3.80/1.29
% 3.80/1.29 % ------ Proving...
% 3.80/1.29 %
% 3.80/1.29
% 3.80/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.80/1.29
% 3.80/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.80/1.29
% 3.80/1.29
%------------------------------------------------------------------------------