%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN560-1 : 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 : n026.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 03:41:05 PM UTC 2026
% Result : Unsatisfiable 14.25s 3.12s
% Output : CNFRefutation 14.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 15 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 107 ( 54 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 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 : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 59 ( 0 sgn 59 !; 0 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
~ p2(c9,f3(c10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_2) ).
fof(f4,negated_conjecture,
! [X0] : p2(f4(X0),f5(X0,f3(f7(c10)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( ~ p8(X2,X1)
| ~ p8(X0,X2)
| p8(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_9) ).
fof(f10,negated_conjecture,
p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_10) ).
fof(f11,negated_conjecture,
~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_11) ).
fof(f12,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X3,X0)
| ~ p8(X3,X2)
| ~ p2(X2,X1)
| p8(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_12) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X0,X2)
| ~ p2(X1,X3)
| p2(f6(X0,X1),f6(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( p8(f6(X0,X1),f6(X0,f5(X1,f3(f7(c10)))))
| p2(X0,f3(c10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_15) ).
tcf(c_64,negated_conjecture,
! [X0: $i] : p2(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_65,negated_conjecture,
~ p2(c9,f3(c10)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_67,negated_conjecture,
! [X0: $i] : p2(f4(X0),f5(X0,f3(f7(c10)))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_71,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p2(X1,X2)
| ~ p2(X0,X2)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_72,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p8(X0,X2)
| ~ p8(X1,X2)
| ~ p8(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_73,negated_conjecture,
p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
inference(cnf_transformation,[],[f10]) ).
tcf(c_74,negated_conjecture,
~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
inference(cnf_transformation,[],[f11]) ).
tcf(c_75,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p8(X3,X1)
| ~ p8(X2,X0)
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_77,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f6(X0,X2),f6(X1,X3))
| ~ p2(X2,X3)
| ~ p2(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_78,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(X0,f3(c10))
| p8(f6(X0,X1),f6(X0,f5(X1,f3(f7(c10))))) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i,X2: $i] :
( p8(X2,f6(X0,f5(X1,f3(f7(c10)))))
| ~ p8(X2,f6(X0,X1))
| ~ p8(f6(X0,X1),f6(X0,f5(X1,f3(f7(c10))))) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_170,plain,
( p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
| ~ p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14))))
| ~ p8(f6(c9,f4(f5(c12,c14))),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10))))) ),
inference(instantiation,[status(thm)],[c_155]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i] :
( p8(X1,X0)
| ~ p2(f6(c9,f4(c12)),X1)
| ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),X0)
| ~ p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10))))) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_231,plain,
( p2(c9,f3(c10))
| p8(f6(c9,f4(f5(c12,c14))),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10))))) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_244,plain,
p2(f6(c9,f4(c12)),f6(c9,f4(c12))),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p2(f6(X2,f5(X0,f3(f7(c10)))),f6(X3,X1))
| ~ p2(X2,X3)
| ~ p2(f5(X0,f3(f7(c10))),X1) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_308,plain,
p2(c9,c9),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_341,plain,
! [X0: $i,X1: $i,X2: $i] :
( p8(X2,f6(X0,X1))
| ~ p2(f6(c9,f4(c12)),X2)
| ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),f6(X0,X1))
| ~ p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10))))) ),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_384,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(f5(X1,f3(f7(c10))),X2)
| ~ p2(X0,X2)
| ~ p2(X0,f5(X1,f3(f7(c10)))) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_554,plain,
! [X0: $i,X1: $i] :
( p2(f5(X0,f3(f7(c10))),X1)
| ~ p2(f4(X0),X1)
| ~ p2(f4(X0),f5(X0,f3(f7(c10)))) ),
inference(instantiation,[status(thm)],[c_384]) ).
tcf(c_1553,plain,
! [X0: $i] :
( p2(f5(X0,f3(f7(c10))),f4(X0))
| ~ p2(f4(X0),f4(X0))
| ~ p2(f4(X0),f5(X0,f3(f7(c10)))) ),
inference(instantiation,[status(thm)],[c_554]) ).
tcf(c_2756,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(f6(X1,f5(X0,f3(f7(c10)))),f6(X2,f4(X0)))
| ~ p2(X1,X2)
| ~ p2(f5(X0,f3(f7(c10))),f4(X0)) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_4364,plain,
p2(f4(f4(f5(c12,c14))),f5(f4(f5(c12,c14)),f3(f7(c10)))),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_4981,plain,
! [X0: $i] :
( p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),f6(X0,f4(f4(f5(c12,c14)))))
| ~ p2(c9,X0)
| ~ p2(f5(f4(f5(c12,c14)),f3(f7(c10))),f4(f4(f5(c12,c14)))) ),
inference(instantiation,[status(thm)],[c_2756]) ).
tcf(c_11309,plain,
( p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),f6(c9,f4(f4(f5(c12,c14)))))
| ~ p2(c9,c9)
| ~ p2(f5(f4(f5(c12,c14)),f3(f7(c10))),f4(f4(f5(c12,c14)))) ),
inference(instantiation,[status(thm)],[c_4981]) ).
tcf(c_19823,plain,
( p2(f5(f4(f5(c12,c14)),f3(f7(c10))),f4(f4(f5(c12,c14))))
| ~ p2(f4(f4(f5(c12,c14))),f4(f4(f5(c12,c14))))
| ~ p2(f4(f4(f5(c12,c14))),f5(f4(f5(c12,c14)),f3(f7(c10)))) ),
inference(instantiation,[status(thm)],[c_1553]) ).
tcf(c_29354,plain,
p2(f4(f4(f5(c12,c14))),f4(f4(f5(c12,c14)))),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_30786,plain,
! [X0: $i] :
( p8(X0,f6(c9,f4(f4(f5(c12,c14)))))
| ~ p2(f6(c9,f4(c12)),X0)
| ~ p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
| ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),f6(c9,f4(f4(f5(c12,c14))))) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_53636,plain,
( p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14)))))
| ~ p2(f6(c9,f4(c12)),f6(c9,f4(c12)))
| ~ p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))))
| ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),f6(c9,f4(f4(f5(c12,c14))))) ),
inference(instantiation,[status(thm)],[c_30786]) ).
tcf(c_53637,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_53636,c_29354,c_19823,c_11309,c_4364,c_308,c_244,c_231,c_170,c_74,c_73,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN560-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 01:48:24 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 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...
% 14.25/3.12 % SZS status Started for theBenchmark.p
% 14.25/3.12 % SZS status Unsatisfiable for theBenchmark.p
% 14.25/3.12
% 14.25/3.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.25/3.12
% 14.25/3.12 % ------ iProver source info
% 14.25/3.12
% 14.25/3.12 % git: date: 2026-07-19 20:42:38 +0200
% 14.25/3.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.25/3.12 % git: non_committed_changes: false
% 14.25/3.12
% 14.25/3.12 % ------ Parsing...% successful
% 14.25/3.12
% 14.25/3.12
% 14.25/3.12 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.25/3.12
% 14.25/3.12 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 14.25/3.12
% 14.25/3.12 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.25/3.12 % ------ Proving...
% 14.25/3.12 % ------ Problem Properties
% 14.25/3.12
% 14.25/3.12 %
% 14.25/3.12 % clauses 15
% 14.25/3.12 % conjectures 15
% 14.25/3.12 % EPR 4
% 14.25/3.12 % Horn 14
% 14.25/3.12 % unary 6
% 14.25/3.12 % binary 4
% 14.25/3.12 % lits 30
% 14.25/3.12 % lits eq 0
% 14.25/3.12 % fd_pure 0
% 14.25/3.12 % fd_pseudo 0
% 14.25/3.12 % fd_cond 0
% 14.25/3.12 % fd_pseudo_cond 0
% 14.25/3.12 % AC symbols 0
% 14.25/3.12
% 14.25/3.12 % ------ Input Options Time Limit: Unbounded
% 14.25/3.12
% 14.25/3.12
% 14.25/3.12 % ------
% 14.25/3.12 % Current options:
% 14.25/3.12 % ------
% 14.25/3.12
% 14.25/3.12
% 14.25/3.12 %
% 14.25/3.12
% 14.25/3.12 % ------ Proving...
% 14.25/3.12 %
% 14.25/3.12
% 14.25/3.12 % SZS status Unsatisfiable for theBenchmark.p
% 14.25/3.12
% 14.25/3.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.25/3.12
% 14.25/3.12
%------------------------------------------------------------------------------