%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN625-1 : 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 03:41:15 PM UTC 2026
% Result : Unsatisfiable 1.42s 1.28s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 66 ( 31 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p15(c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p15_1) ).
fof(f8,negated_conjecture,
~ p15(f4(f7(c19,c20),c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f4_is_not_p15_8) ).
fof(f10,negated_conjecture,
! [X0,X1] :
( ~ p18(f9(X0),X1,X1)
| ~ p15(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_10) ).
fof(f15,negated_conjecture,
! [X0] :
( p18(f9(X0),f14(X0),f14(X0))
| p15(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_15) ).
fof(f16,negated_conjecture,
! [X0] :
( ~ p16(f9(c21),X0,c19)
| ~ p17(X0,f11(c20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_16) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p16(X0,X3,X2)
| ~ p16(X0,X1,X3)
| p16(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_23) ).
fof(f32,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p18(f9(f4(f7(X2,X4),X0)),X1,X3)
| p18(f9(X0),X1,X3)
| p16(f9(X0),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_32) ).
fof(f33,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p18(f9(f4(f7(X3,X4),X0)),X1,X2)
| p17(f12(X0,X3,X4,X1,X2),f11(X4))
| p18(f9(X0),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_33) ).
fof(f34,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p18(f9(f4(f7(X3,X4),X0)),X1,X2)
| p16(f9(X0),f12(X0,X3,X4,X1,X2),X2)
| p18(f9(X0),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_34) ).
tcf(c_84,negated_conjecture,
p15(c21),
inference(cnf_transformation,[],[f1]) ).
tcf(c_91,negated_conjecture,
~ p15(f4(f7(c19,c20),c21)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_93,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ p15(X0)
| ~ p18(f9(X0),X1,X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_98,negated_conjecture,
! [X0: $i] :
( p15(X0)
| p18(f9(X0),f14(X0),f14(X0)) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_99,negated_conjecture,
! [X0: $i] :
( ~ p17(X0,f11(c20))
| ~ p16(f9(c21),X0,c19) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_106,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p16(X0,X3,X2)
| ~ p16(X0,X3,X1)
| ~ p16(X0,X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_115,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p18(f9(X2),X3,X4)
| p16(f9(X2),X3,X0)
| ~ p18(f9(f4(f7(X0,X1),X2)),X3,X4) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p18(f9(X2),X3,X4)
| p17(f12(X2,X0,X1,X3,X4),f11(X1))
| ~ p18(f9(f4(f7(X0,X1),X2)),X3,X4) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_117,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p18(f9(X2),X3,X4)
| p16(f9(X2),f12(X2,X0,X1,X3,X4),X4)
| ~ p18(f9(f4(f7(X0,X1),X2)),X3,X4) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_322,plain,
( p15(f4(f7(c19,c20),c21))
| p18(f9(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_326,plain,
( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21)))
| ~ p18(f9(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_327,plain,
( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| p17(f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f11(c20))
| ~ p18(f9(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_328,plain,
( p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19)
| p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| ~ p18(f9(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_335,plain,
( ~ p15(c21)
| ~ p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_368,plain,
( ~ p17(f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f11(c20))
| ~ p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),c19) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_442,plain,
! [X0: $i] :
( p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),c19)
| ~ p16(f9(c21),X0,c19)
| ~ p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),X0) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_576,plain,
( p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),c19)
| ~ p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19)
| ~ p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21))) ),
inference(instantiation,[status(thm)],[c_442]) ).
tcf(c_577,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_576,c_368,c_335,c_326,c_327,c_328,c_322,c_91,c_84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN625-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n018.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 01:57:19 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.42/1.28 % SZS status Started for theBenchmark.p
% 1.42/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.42/1.28
% 1.42/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.42/1.28
% 1.42/1.28 % ------ iProver source info
% 1.42/1.28
% 1.42/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.42/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.42/1.28 % git: non_committed_changes: false
% 1.42/1.28
% 1.42/1.28 % ------ Parsing...% successful
% 1.42/1.28
% 1.42/1.28
% 1.42/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.42/1.28
% 1.42/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.42/1.28
% 1.42/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.42/1.28 % ------ Proving...
% 1.42/1.28 % ------ Problem Properties
% 1.42/1.28
% 1.42/1.28 %
% 1.42/1.28 % clauses 35
% 1.42/1.28 % conjectures 35
% 1.42/1.28 % EPR 19
% 1.42/1.28 % Horn 29
% 1.42/1.28 % unary 8
% 1.42/1.28 % binary 7
% 1.42/1.28 % lits 91
% 1.42/1.28 % lits eq 0
% 1.42/1.28 % fd_pure 0
% 1.42/1.28 % fd_pseudo 0
% 1.42/1.28 % fd_cond 0
% 1.42/1.28 % fd_pseudo_cond 0
% 1.42/1.28 % AC symbols 0
% 1.42/1.28
% 1.42/1.28 % ------ Schedule dynamic 5 is on
% 1.42/1.28
% 1.42/1.28 % ------ no equalities: superposition off
% 1.42/1.28
% 1.42/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.42/1.28
% 1.42/1.28
% 1.42/1.28 % ------
% 1.42/1.28 % Current options:
% 1.42/1.28 % ------
% 1.42/1.28
% 1.42/1.28
% 1.42/1.28 %
% 1.42/1.28
% 1.42/1.28 % ------ Proving...
% 1.42/1.28 %
% 1.42/1.28
% 1.42/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.42/1.28
% 1.42/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.42/1.28
% 1.42/1.28
%------------------------------------------------------------------------------