%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN644-1 : 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 : n007.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 03:41:17 PM UTC 2026
% Result : Unsatisfiable 3.37s 2.19s
% Output : CNFRefutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 45 ( 18 unt; 0 def)
% Number of atoms : 125 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 157 ( 77 ~; 80 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-5 aty)
% Number of variables : 79 ( 0 sgn 79 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_1) ).
fof(f7,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_7) ).
fof(f9,negated_conjecture,
p24(f17(f10(c29,f11(c27,c30)),c28)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f17_is_p24_9) ).
fof(f10,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_10) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_17) ).
fof(f23,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_23) ).
fof(f25,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p12(X3,X0)
| ~ p25(X3,X2)
| ~ p12(X2,X1)
| p25(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_25) ).
fof(f33,negated_conjecture,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_33) ).
fof(f37,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p23(X4,f8(f10(X1,f11(X2,X3))))
| ~ p22(f3(f4(f5(c26))),X2)
| p25(f13(f14(X0,f16(f10(X1,f11(X2,X3)),c32,X0))),f13(f14(X0,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_37) ).
fof(f39,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p23(X0,f8(f10(X1,f11(X2,X3))))
| ~ p24(f17(f10(X1,f11(X2,X3)),X0))
| ~ p22(f3(f4(f5(c26))),X2)
| p23(f21(X1,X2,X3,X4,X0),f8(f10(X1,f11(X2,X3))))
| p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_39) ).
fof(f40,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p25(f13(f14(X4,X0)),f13(f14(X4,f21(X1,X2,X3,X4,X0))))
| ~ p23(X0,f8(f10(X1,f11(X2,X3))))
| ~ p24(f17(f10(X1,f11(X2,X3)),X0))
| ~ p22(f3(f4(f5(c26))),X2)
| p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_40) ).
tcf(c_91,negated_conjecture,
! [X0: $i] : p12(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_97,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
inference(cnf_transformation,[],[f7]) ).
tcf(c_99,negated_conjecture,
p24(f17(f10(c29,f11(c27,c30)),c28)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_100,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))),
inference(cnf_transformation,[],[f10]) ).
tcf(c_107,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p12(X1,X2)
| ~ p12(X0,X2)
| ~ p12(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_113,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
inference(cnf_transformation,[],[f23]) ).
tcf(c_115,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p25(X3,X1)
| ~ p25(X2,X0)
| ~ p12(X2,X3)
| ~ p12(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_123,negated_conjecture,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
inference(cnf_transformation,[],[f33]) ).
tcf(c_127,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p25(f13(f14(X4,f16(f10(X1,f11(X2,X3)),c32,X4))),f13(f14(X4,X0)))
| ~ p22(f3(f4(f5(c26))),X2)
| ~ p23(X0,f8(f10(X1,f11(X2,X3)))) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_129,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p12(X3,f16(f10(X0,f11(X1,X2)),c32,X4))
| p23(f21(X0,X1,X2,X4,X3),f8(f10(X0,f11(X1,X2))))
| ~ p22(f3(f4(f5(c26))),X1)
| ~ p23(X3,f8(f10(X0,f11(X1,X2))))
| ~ p24(f17(f10(X0,f11(X1,X2)),X3)) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_130,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p12(X1,f16(f10(X2,f11(X3,X4)),c32,X0))
| ~ p22(f3(f4(f5(c26))),X3)
| ~ p23(X1,f8(f10(X2,f11(X3,X4))))
| ~ p24(f17(f10(X2,f11(X3,X4)),X1))
| ~ p25(f13(f14(X0,X1)),f13(f14(X0,f21(X2,X3,X4,X0,X1)))) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p25(f13(f14(X3,f16(f10(X1,f11(c27,X2)),c32,X3))),f13(f14(X3,X0)))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(X0,f8(f10(X1,f11(c27,X2)))) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p12(X2,f16(f10(X0,f11(c27,X1)),c32,X3))
| p23(f21(X0,c27,X1,X3,X2),f8(f10(X0,f11(c27,X1))))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(X2,f8(f10(X0,f11(c27,X1))))
| ~ p24(f17(f10(X0,f11(c27,X1)),X2)) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p12(X1,f16(f10(X2,f11(c27,X3)),c32,X0))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(X1,f8(f10(X2,f11(c27,X3))))
| ~ p24(f17(f10(X2,f11(c27,X3)),X1))
| ~ p25(f13(f14(X0,X1)),f13(f14(X0,f21(X2,c27,X3,X0,X1)))) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_431,plain,
! [X0: $i] :
( p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))
| p23(f21(c29,c27,c30,X0,c28),f8(f10(c29,f11(c27,c30))))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(c28,f8(f10(c29,f11(c27,c30))))
| ~ p24(f17(f10(c29,f11(c27,c30)),c28)) ),
inference(instantiation,[status(thm)],[c_396]) ).
tcf(c_433,plain,
! [X0: $i] :
( p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(c28,f8(f10(c29,f11(c27,c30))))
| ~ p24(f17(f10(c29,f11(c27,c30)),c28))
| ~ p25(f13(f14(X0,c28)),f13(f14(X0,f21(c29,c27,c30,X0,c28)))) ),
inference(instantiation,[status(thm)],[c_398]) ).
tcf(c_461,plain,
( p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))
| p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30))))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(c28,f8(f10(c29,f11(c27,c30))))
| ~ p24(f17(f10(c29,f11(c27,c30)),c28)) ),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_485,plain,
! [X0: $i,X1: $i] :
( p25(f13(f14(X1,f16(f10(c29,f11(c27,c30)),c32,X1))),f13(f14(X1,f21(c29,c27,c30,X0,c28))))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(f21(c29,c27,c30,X0,c28),f8(f10(c29,f11(c27,c30)))) ),
inference(instantiation,[status(thm)],[c_394]) ).
tcf(c_604,plain,
! [X0: $i] : p12(f13(f14(X0,c28)),f13(f14(X0,c28))),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_682,plain,
! [X0: $i] :
( p25(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),f13(f14(X0,f21(c29,c27,c30,c31,c28))))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))) ),
inference(instantiation,[status(thm)],[c_485]) ).
tcf(c_757,plain,
! [X0: $i,X1: $i,X2: $i] :
( p12(X2,f13(f14(X1,c28)))
| ~ p12(X0,X2)
| ~ p12(X0,f13(f14(X1,c28))) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_943,plain,
! [X0: $i,X1: $i,X2: $i] :
( p25(X1,X2)
| ~ p12(f13(f14(X0,f21(c29,c27,c30,c31,c28))),X2)
| ~ p12(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),X1)
| ~ p25(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),f13(f14(X0,f21(c29,c27,c30,c31,c28)))) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_1184,plain,
! [X0: $i] : p12(f13(X0),f13(X0)),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_1234,plain,
! [X0: $i,X1: $i] :
( p12(X1,f13(f14(X0,c28)))
| ~ p12(f13(f14(X0,c28)),X1)
| ~ p12(f13(f14(X0,c28)),f13(f14(X0,c28))) ),
inference(instantiation,[status(thm)],[c_757]) ).
tcf(c_1493,plain,
! [X0: $i,X1: $i,X2: $i] :
( p25(X1,f13(X2))
| ~ p12(f13(f14(X0,f21(c29,c27,c30,c31,c28))),f13(X2))
| ~ p12(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),X1)
| ~ p25(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),f13(f14(X0,f21(c29,c27,c30,c31,c28)))) ),
inference(instantiation,[status(thm)],[c_943]) ).
tcf(c_2276,plain,
! [X0: $i,X1: $i] :
( p25(X1,f13(f14(X0,f21(c29,c27,c30,c31,c28))))
| ~ p12(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),X1)
| ~ p12(f13(f14(X0,f21(c29,c27,c30,c31,c28))),f13(f14(X0,f21(c29,c27,c30,c31,c28))))
| ~ p25(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),f13(f14(X0,f21(c29,c27,c30,c31,c28)))) ),
inference(instantiation,[status(thm)],[c_1493]) ).
tcf(c_2277,plain,
! [X0: $i] : p12(f13(f14(X0,f21(c29,c27,c30,c31,c28))),f13(f14(X0,f21(c29,c27,c30,c31,c28)))),
inference(instantiation,[status(thm)],[c_1184]) ).
tcf(c_2521,plain,
( p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28)))
| ~ p12(f13(f14(c31,c28)),f13(f14(c31,c28)))
| ~ p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))) ),
inference(instantiation,[status(thm)],[c_1234]) ).
tcf(c_3204,plain,
p12(f13(f14(c31,c28)),f13(f14(c31,c28))),
inference(instantiation,[status(thm)],[c_604]) ).
tcf(c_5353,plain,
( p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28))))
| ~ p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28)))
| ~ p12(f13(f14(c31,f21(c29,c27,c30,c31,c28))),f13(f14(c31,f21(c29,c27,c30,c31,c28))))
| ~ p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,f21(c29,c27,c30,c31,c28)))) ),
inference(instantiation,[status(thm)],[c_2276]) ).
tcf(c_6082,plain,
( p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,f21(c29,c27,c30,c31,c28))))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))) ),
inference(instantiation,[status(thm)],[c_682]) ).
tcf(c_12095,plain,
p12(f13(f14(c31,f21(c29,c27,c30,c31,c28))),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
inference(instantiation,[status(thm)],[c_2277]) ).
tcf(c_29525,plain,
( p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))
| ~ p22(f3(f4(f5(c26))),c27)
| ~ p23(c28,f8(f10(c29,f11(c27,c30))))
| ~ p24(f17(f10(c29,f11(c27,c30)),c28))
| ~ p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28)))) ),
inference(instantiation,[status(thm)],[c_433]) ).
tcf(c_29526,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_29525,c_12095,c_6082,c_5353,c_3204,c_2521,c_461,c_123,c_113,c_99,c_100,c_97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN644-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 01:56:22 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 3.37/2.19 % SZS status Started for theBenchmark.p
% 3.37/2.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.37/2.19
% 3.37/2.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.37/2.19
% 3.37/2.19 % ------ iProver source info
% 3.37/2.19
% 3.37/2.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.37/2.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.37/2.19 % git: non_committed_changes: false
% 3.37/2.19
% 3.37/2.19 % ------ Parsing...% successful
% 3.37/2.19
% 3.37/2.19
% 3.37/2.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.37/2.19
% 3.37/2.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.37/2.19
% 3.37/2.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.37/2.19 % ------ Proving...
% 3.37/2.19 % ------ Problem Properties
% 3.37/2.19
% 3.37/2.19 %
% 3.37/2.19 % clauses 42
% 3.37/2.19 % conjectures 42
% 3.37/2.19 % EPR 16
% 3.37/2.19 % Horn 39
% 3.37/2.19 % unary 11
% 3.37/2.19 % binary 8
% 3.37/2.19 % lits 111
% 3.37/2.19 % lits eq 0
% 3.37/2.19 % fd_pure 0
% 3.37/2.19 % fd_pseudo 0
% 3.37/2.19 % fd_cond 0
% 3.37/2.19 % fd_pseudo_cond 0
% 3.37/2.19 % AC symbols 0
% 3.37/2.19
% 3.37/2.19 % ------ Schedule dynamic 5 is on
% 3.37/2.19
% 3.37/2.19 % ------ no equalities: superposition off
% 3.37/2.19
% 3.37/2.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.37/2.19
% 3.37/2.19
% 3.37/2.19 % ------
% 3.37/2.19 % Current options:
% 3.37/2.19 % ------
% 3.37/2.19
% 3.37/2.19
% 3.37/2.19 %
% 3.37/2.19
% 3.37/2.19 % ------ Proving...
% 3.37/2.19 %
% 3.37/2.19
% 3.37/2.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.37/2.19
% 3.37/2.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.37/2.19
% 3.37/2.19
%------------------------------------------------------------------------------