%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN604-1 : 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 : n014.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 03:41:12 PM UTC 2026
% Result : Unsatisfiable 2.90s 1.18s
% Output : CNFRefutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 50 ( 19 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 113 ( 56 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
fof(f7,negated_conjecture,
! [X0] : p3(f4(f8(X0)),f12(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
fof(f8,negated_conjecture,
! [X0] : p3(f12(f10(X0)),f10(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
fof(f9,negated_conjecture,
! [X0] : p16(f10(f11(c21)),f12(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_9) ).
fof(f10,negated_conjecture,
! [X0,X1] :
( p16(X1,f12(X0))
| p16(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_10) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_21) ).
fof(f23,negated_conjecture,
! [X2,X0,X1] :
( ~ p16(X2,X1)
| ~ p16(X0,X2)
| p16(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_23) ).
fof(f25,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p16(X2,X3)
| ~ p3(X3,X1)
| ~ p3(X2,X0)
| p16(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_25) ).
fof(f28,negated_conjecture,
! [X0] : ~ p16(f4(f6(f7(c20,c18),X0)),f4(f6(f7(c20,c18),f13(X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p16_28) ).
fof(f29,negated_conjecture,
! [X0] :
( ~ p16(f4(X0),f12(c19))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_29) ).
fof(f30,negated_conjecture,
! [X0] :
( ~ p16(c19,f4(X0))
| p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_30) ).
tcf(c_82,negated_conjecture,
! [X0: $i] : p3(X0,X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_85,negated_conjecture,
! [X0: $i] : p3(f4(f8(X0)),f12(X0)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_86,negated_conjecture,
! [X0: $i] : p3(f12(f10(X0)),f10(X0)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_87,negated_conjecture,
! [X0: $i] : p16(f10(f11(c21)),f12(X0)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_88,negated_conjecture,
! [X0: $i,X1: $i] :
( p16(X1,X0)
| p16(X0,f12(X1)) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_99,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X2)
| ~ p3(X0,X2)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_101,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p16(X0,X2)
| ~ p16(X1,X2)
| ~ p16(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_103,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p16(X1,X3)
| ~ p16(X0,X2)
| ~ p3(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_106,negated_conjecture,
! [X0: $i] : ~ p16(f4(f6(f7(c20,c18),X0)),f4(f6(f7(c20,c18),f13(X0)))),
inference(cnf_transformation,[],[f28]) ).
tcf(c_107,negated_conjecture,
! [X0: $i] :
( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0)))
| ~ p16(f4(X0),f12(c19)) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_108,negated_conjecture,
! [X0: $i] :
( p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X0)))
| ~ p16(c19,f4(X0)) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_356,plain,
! [X0: $i] :
( p16(c19,f4(X0))
| p16(f4(X0),f12(c19)) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p16(X3,X1)
| ~ p3(X2,X3)
| ~ p16(X2,f12(X0))
| ~ p3(f12(X0),X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i] :
( p16(f4(f6(f7(c20,c18),c23)),X1)
| ~ p16(f4(f6(f7(c20,c18),X0)),X1)
| ~ p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0))) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_376,plain,
( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),f13(c23))))
| ~ p16(f4(f13(c23)),f12(c19)) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_377,plain,
~ p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),f13(c23)))),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i] :
( p3(f10(f11(c21)),X1)
| ~ p3(X0,X1)
| ~ p3(X0,f10(f11(c21))) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_407,plain,
! [X0: $i,X1: $i,X2: $i] :
( p16(X2,f12(X0))
| ~ p3(X1,X2)
| ~ p16(X1,f12(X0))
| ~ p3(f12(X0),f12(X0)) ),
inference(instantiation,[status(thm)],[c_366]) ).
tcf(c_408,plain,
! [X0: $i] : p3(f12(X0),f12(X0)),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_413,plain,
! [X0: $i,X1: $i,X2: $i] :
( p3(f12(X1),X2)
| ~ p3(X0,X2)
| ~ p3(X0,f12(X1)) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_416,plain,
( p16(c19,f4(f13(c23)))
| p16(f4(f13(c23)),f12(c19)) ),
inference(instantiation,[status(thm)],[c_356]) ).
tcf(c_467,plain,
! [X0: $i] :
( p3(f10(f11(c21)),X0)
| ~ p3(f12(f10(f11(c21))),X0)
| ~ p3(f12(f10(f11(c21))),f10(f11(c21))) ),
inference(instantiation,[status(thm)],[c_396]) ).
tcf(c_468,plain,
p3(f12(f10(f11(c21))),f10(f11(c21))),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_505,plain,
! [X0: $i,X1: $i] :
( p3(f12(X0),X1)
| ~ p3(f4(f8(X0)),X1)
| ~ p3(f4(f8(X0)),f12(X0)) ),
inference(instantiation,[status(thm)],[c_413]) ).
tcf(c_615,plain,
! [X0: $i,X1: $i] :
( p16(f4(X1),f12(c19))
| ~ p16(X0,f12(c19))
| ~ p3(X0,f4(X1))
| ~ p3(f12(c19),f12(c19)) ),
inference(instantiation,[status(thm)],[c_407]) ).
tcf(c_636,plain,
! [X0: $i] :
( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0)))
| ~ p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),f8(f10(f11(c21))))))
| ~ p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X0))) ),
inference(instantiation,[status(thm)],[c_372]) ).
tcf(c_878,plain,
! [X0: $i] :
( p3(f12(X0),f4(f8(X0)))
| ~ p3(f4(f8(X0)),f12(X0))
| ~ p3(f4(f8(X0)),f4(f8(X0))) ),
inference(instantiation,[status(thm)],[c_505]) ).
tcf(c_879,plain,
! [X0: $i] : p3(f4(f8(X0)),f4(f8(X0))),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_951,plain,
p3(f12(c19),f12(c19)),
inference(instantiation,[status(thm)],[c_408]) ).
tcf(c_1108,plain,
( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),f13(c23))))
| ~ p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),f8(f10(f11(c21))))))
| ~ p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),f13(c23)))) ),
inference(instantiation,[status(thm)],[c_636]) ).
tcf(c_1626,plain,
( p3(f12(f10(f11(c21))),f4(f8(f10(f11(c21)))))
| ~ p3(f4(f8(f10(f11(c21)))),f12(f10(f11(c21))))
| ~ p3(f4(f8(f10(f11(c21)))),f4(f8(f10(f11(c21))))) ),
inference(instantiation,[status(thm)],[c_878]) ).
tcf(c_1627,plain,
( p3(f10(f11(c21)),f4(f8(f10(f11(c21)))))
| ~ p3(f12(f10(f11(c21))),f10(f11(c21)))
| ~ p3(f12(f10(f11(c21))),f4(f8(f10(f11(c21))))) ),
inference(instantiation,[status(thm)],[c_467]) ).
tcf(c_1737,plain,
p16(f10(f11(c21)),f12(c19)),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_1992,plain,
( p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),f13(c23))))
| ~ p16(c19,f4(f13(c23))) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_2892,plain,
( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),f8(f10(f11(c21))))))
| ~ p16(f4(f8(f10(f11(c21)))),f12(c19)) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_2915,plain,
p3(f4(f8(f10(f11(c21)))),f12(f10(f11(c21)))),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_3972,plain,
p3(f4(f8(f10(f11(c21)))),f4(f8(f10(f11(c21))))),
inference(instantiation,[status(thm)],[c_879]) ).
tcf(c_5393,plain,
( p16(f4(f8(f10(f11(c21)))),f12(c19))
| ~ p3(f12(c19),f12(c19))
| ~ p16(f10(f11(c21)),f12(c19))
| ~ p3(f10(f11(c21)),f4(f8(f10(f11(c21))))) ),
inference(instantiation,[status(thm)],[c_615]) ).
tcf(c_5396,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5393,c_3972,c_2915,c_2892,c_1992,c_1737,c_1627,c_1626,c_1108,c_951,c_468,c_416,c_377,c_376]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN604-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.34 % Computer : n014.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Fri Sep 25 01:51:03 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 2.90/1.18 % SZS status Started for theBenchmark.p
% 2.90/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.90/1.18
% 2.90/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.90/1.18
% 2.90/1.18 % ------ iProver source info
% 2.90/1.18
% 2.90/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 2.90/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.90/1.18 % git: non_committed_changes: false
% 2.90/1.18
% 2.90/1.18 % ------ Parsing...% successful
% 2.90/1.18
% 2.90/1.18
% 2.90/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.90/1.18
% 2.90/1.18 % ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.90/1.18
% 2.90/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.90/1.18 % ------ Proving...
% 2.90/1.18 % ------ Problem Properties
% 2.90/1.18
% 2.90/1.18 %
% 2.90/1.18 % clauses 26
% 2.90/1.18 % conjectures 26
% 2.90/1.18 % EPR 10
% 2.90/1.18 % Horn 25
% 2.90/1.18 % unary 9
% 2.90/1.18 % binary 9
% 2.90/1.18 % lits 52
% 2.90/1.18 % lits eq 0
% 2.90/1.18 % fd_pure 0
% 2.90/1.18 % fd_pseudo 0
% 2.90/1.18 % fd_cond 0
% 2.90/1.18 % fd_pseudo_cond 0
% 2.90/1.18 % AC symbols 0
% 2.90/1.18
% 2.90/1.18 % ------ Schedule dynamic 5 is on
% 2.90/1.18
% 2.90/1.18 % ------ no equalities: superposition off
% 2.90/1.18
% 2.90/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.90/1.18
% 2.90/1.18
% 2.90/1.18 % ------
% 2.90/1.18 % Current options:
% 2.90/1.18 % ------
% 2.90/1.18
% 2.90/1.18
% 2.90/1.18 %
% 2.90/1.18
% 2.90/1.18 % ------ Proving...
% 2.90/1.18 %
% 2.90/1.18
% 2.90/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 2.90/1.18
% 2.90/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.90/1.18
% 2.90/1.18
%------------------------------------------------------------------------------