%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN598-1 : 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 : n013.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 03:41:11 PM UTC 2026
% Result : Unsatisfiable 3.46s 1.32s
% Output : CNFRefutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 12 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 32 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 11 ( 4 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 : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
p18(c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p18_2) ).
fof(f3,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
fof(f7,negated_conjecture,
p3(f4(f6(c21)),c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p19(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p19(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_23) ).
fof(f25,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p7(X0,X2)
| ~ p3(X1,X3)
| p7(f11(X0,X1),f11(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_25) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p7(X0,X2)
| ~ p7(X1,X3)
| p7(f10(X0,X1),f10(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_26) ).
fof(f27,negated_conjecture,
~ p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p19_27) ).
fof(f28,negated_conjecture,
! [X0] :
( ~ p18(X0)
| p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X0))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_28) ).
tcf(c_79,negated_conjecture,
p18(c21),
inference(cnf_transformation,[],[f2]) ).
tcf(c_80,negated_conjecture,
! [X0: $i] : p7(X0,X0),
inference(cnf_transformation,[],[f3]) ).
tcf(c_84,negated_conjecture,
p3(f4(f6(c21)),c22),
inference(cnf_transformation,[],[f7]) ).
tcf(c_100,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p19(X1,X3)
| ~ p19(X0,X2)
| ~ p7(X2,X3)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_102,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p7(f11(X0,X2),f11(X1,X3))
| ~ p3(X2,X3)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_103,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p7(f10(X0,X2),f10(X1,X3))
| ~ p7(X2,X3)
| ~ p7(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_104,negated_conjecture,
~ p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
inference(cnf_transformation,[],[f27]) ).
tcf(c_105,negated_conjecture,
! [X0: $i] :
( p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X0))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X0)))
| ~ p18(X0) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_352,plain,
( p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21)))
| ~ p18(c21) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_358,plain,
! [X0: $i,X1: $i] :
( p19(X0,X1)
| ~ p7(f8(f9(c21)),X1)
| ~ p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),X0)
| ~ p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_362,plain,
! [X0: $i] :
( p19(X0,f8(f9(c21)))
| ~ p7(f8(f9(c21)),f8(f9(c21)))
| ~ p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),X0)
| ~ p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) ),
inference(instantiation,[status(thm)],[c_358]) ).
tcf(c_363,plain,
p7(f8(f9(c21)),f8(f9(c21))),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_374,plain,
( p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21)))
| ~ p7(f8(f9(c21)),f8(f9(c21)))
| ~ p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21)))
| ~ p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))) ),
inference(instantiation,[status(thm)],[c_362]) ).
tcf(c_399,plain,
( p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))))
| ~ p7(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),c22))
| ~ p7(f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_458,plain,
( p7(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),c22))
| ~ p3(f4(f6(c21)),c22)
| ~ p7(f14(f12(f15(f13(c23)))),f14(f12(f15(f13(c23))))) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_538,plain,
p7(f14(f12(f15(f13(c23)))),f14(f12(f15(f13(c23))))),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_643,plain,
p7(f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_644,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_643,c_538,c_458,c_399,c_374,c_363,c_352,c_104,c_84,c_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN598-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.40 % Computer : n013.cluster.edu
% 0.16/0.40 % Model : x86_64 x86_64
% 0.16/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.40 % Memory : 8046.5625MB
% 0.16/0.40 % OS : Linux 6.8.0-71-generic
% 0.16/0.40 % CPULimit : 300
% 0.16/0.40 % WCLimit : 300
% 0.16/0.40 % DateTime : Fri Sep 25 01:50:07 UTC 2026
% 0.16/0.40 % CPUTime :
% 0.16/0.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.19/0.44 Running first-order theorem proving
% 0.19/0.44 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
% 0.19/0.45
% 0.19/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.19/0.45
% 0.19/0.45 % Detected problem language: tptp
% 0.19/0.46 % Proving...
% 3.46/1.32 % SZS status Started for theBenchmark.p
% 3.46/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.46/1.32
% 3.46/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.46/1.32
% 3.46/1.32 % ------ iProver source info
% 3.46/1.32
% 3.46/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 3.46/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.46/1.32 % git: non_committed_changes: false
% 3.46/1.32
% 3.46/1.32 % ------ Parsing...% successful
% 3.46/1.32
% 3.46/1.32
% 3.46/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.46/1.32
% 3.46/1.32 % ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.46/1.32
% 3.46/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.46/1.32 % ------ Proving...
% 3.46/1.32 % ------ Problem Properties
% 3.46/1.32
% 3.46/1.32 %
% 3.46/1.32 % clauses 25
% 3.46/1.32 % conjectures 25
% 3.46/1.32 % EPR 11
% 3.46/1.32 % Horn 25
% 3.46/1.32 % unary 7
% 3.46/1.32 % binary 10
% 3.46/1.32 % lits 52
% 3.46/1.32 % lits eq 0
% 3.46/1.32 % fd_pure 0
% 3.46/1.32 % fd_pseudo 0
% 3.46/1.32 % fd_cond 0
% 3.46/1.32 % fd_pseudo_cond 0
% 3.46/1.32 % AC symbols 0
% 3.46/1.32
% 3.46/1.32 % ------ Schedule dynamic 5 is on
% 3.46/1.32
% 3.46/1.32 % ------ no equalities: superposition off
% 3.46/1.32
% 3.46/1.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.46/1.32
% 3.46/1.32
% 3.46/1.32 % ------
% 3.46/1.32 % Current options:
% 3.46/1.32 % ------
% 3.46/1.32
% 3.46/1.32
% 3.46/1.32 %
% 3.46/1.32
% 3.46/1.32 % ------ Proving...
% 3.46/1.32 %
% 3.46/1.32
% 3.46/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.46/1.32
% 3.46/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.46/1.32
% 3.46/1.32
%------------------------------------------------------------------------------