%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN643-1 : 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 : n001.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 3.08s 1.18s
% Output : CNFRefutation 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 16 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 34 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p15(f3(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_1) ).
fof(f2,negated_conjecture,
p15(f3(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_2) ).
fof(f5,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
fof(f10,negated_conjecture,
p4(f5(f3(c18)),f5(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_10) ).
fof(f11,negated_conjecture,
p4(f5(f3(c19)),f5(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_11) ).
fof(f24,negated_conjecture,
! [X2,X0,X1] :
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_24) ).
fof(f28,negated_conjecture,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_28) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p4(X0,X2)
| ~ p4(X1,X3)
| p4(f9(X0,X1),f9(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_35) ).
fof(f37,negated_conjecture,
! [X0,X1] :
( ~ p15(X1)
| ~ p15(X0)
| p4(f5(f10(X0,X1)),f9(f5(X0),f5(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_37) ).
tcf(c_91,negated_conjecture,
p15(f3(c19)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_92,negated_conjecture,
p15(f3(c18)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_95,negated_conjecture,
! [X0: $i] : p4(X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_100,negated_conjecture,
p4(f5(f3(c18)),f5(c18)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_101,negated_conjecture,
p4(f5(f3(c19)),f5(c19)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_114,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p4(X1,X2)
| ~ p4(X0,X2)
| ~ p4(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_118,negated_conjecture,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
inference(cnf_transformation,[],[f28]) ).
tcf(c_125,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(f9(X0,X2),f9(X1,X3))
| ~ p4(X2,X3)
| ~ p4(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_127,negated_conjecture,
! [X0: $i,X1: $i] :
( p4(f5(f10(X0,X1)),f9(f5(X0),f5(X1)))
| ~ p15(X1)
| ~ p15(X0) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_421,negated_conjecture,
! [X0_iProver_f5_1: iProver_f5_1,X1_iProver_f5_1: iProver_f5_1] :
( p4(f5(f10(X0_iProver_f5_1,X1_iProver_f5_1)),f9(f5(X0_iProver_f5_1),f5(X1_iProver_f5_1)))
| ~ p15(X1_iProver_f5_1)
| ~ p15(X0_iProver_f5_1) ),
inference(subtyping,[status(esa)],[c_127]) ).
tcf(c_422,negated_conjecture,
! [X0_iProver_f9_2: iProver_f9_2,X1_iProver_f9_2: iProver_f9_2,X2_iProver_f9_2: iProver_f9_2,X3_iProver_f9_2: iProver_f9_2] :
( p4(f9(X0_iProver_f9_2,X2_iProver_f9_2),f9(X1_iProver_f9_2,X3_iProver_f9_2))
| ~ p4(X2_iProver_f9_2,X3_iProver_f9_2)
| ~ p4(X0_iProver_f9_2,X1_iProver_f9_2) ),
inference(subtyping,[status(esa)],[c_125]) ).
tcf(c_424,negated_conjecture,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
inference(subtyping,[status(esa)],[c_118]) ).
tcf(c_426,negated_conjecture,
! [X0_iProver_f9_2: iProver_f9_2,X1_iProver_f9_2: iProver_f9_2,X2_iProver_f9_2: iProver_f9_2] :
( p4(X1_iProver_f9_2,X2_iProver_f9_2)
| ~ p4(X0_iProver_f9_2,X2_iProver_f9_2)
| ~ p4(X0_iProver_f9_2,X1_iProver_f9_2) ),
inference(subtyping,[status(esa)],[c_114]) ).
tcf(c_434,negated_conjecture,
! [X0_iProver_f9_2: iProver_f9_2] : p4(X0_iProver_f9_2,X0_iProver_f9_2),
inference(subtyping,[status(esa)],[c_95]) ).
tcf(c_465,plain,
! [X0_iProver_f9_2: iProver_f9_2] :
( ~ p4(X0_iProver_f9_2,f9(f5(c19),f5(c18)))
| ~ p4(X0_iProver_f9_2,f5(f10(f3(c19),f3(c18)))) ),
inference(resolution,[status(thm)],[c_426,c_424]) ).
tcf(c_469,plain,
! [X0_iProver_f9_2: iProver_f9_2,X1_iProver_f9_2: iProver_f9_2] :
( ~ p4(X0_iProver_f9_2,X1_iProver_f9_2)
| ~ p4(X1_iProver_f9_2,f9(f5(c19),f5(c18)))
| ~ p4(X0_iProver_f9_2,f5(f10(f3(c19),f3(c18)))) ),
inference(resolution,[status(thm)],[c_465,c_426]) ).
tcf(c_509,plain,
! [X0_iProver_f9_2: iProver_f9_2] :
( ~ p4(X0_iProver_f9_2,f9(f5(c19),f5(c18)))
| ~ p4(f5(f10(f3(c19),f3(c18))),X0_iProver_f9_2) ),
inference(resolution,[status(thm)],[c_469,c_434]) ).
tcf(c_562,plain,
( ~ p15(f3(c18))
| ~ p15(f3(c19))
| ~ p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18))) ),
inference(resolution,[status(thm)],[c_509,c_421]) ).
tcf(c_563,plain,
~ p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18))),
inference(global_subsumption_just,[status(thm)],[c_562,c_92,c_91,c_562]) ).
tcf(c_570,plain,
( ~ p4(f5(f3(c18)),f5(c18))
| ~ p4(f5(f3(c19)),f5(c19)) ),
inference(resolution,[status(thm)],[c_563,c_422]) ).
tcf(c_571,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_570,c_100,c_101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN643-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 02:03:39 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 3.08/1.18 % SZS status Started for theBenchmark.p
% 3.08/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.08/1.18
% 3.08/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.08/1.18
% 3.08/1.18 % ------ iProver source info
% 3.08/1.18
% 3.08/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.08/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.08/1.18 % git: non_committed_changes: false
% 3.08/1.18
% 3.08/1.18 % ------ Parsing...% successful
% 3.08/1.18
% 3.08/1.18
% 3.08/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.08/1.18
% 3.08/1.18 % ------ Preprocessing... sf_s rm: 26 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.08/1.18
% 3.08/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.08/1.18 % ------ Proving...
% 3.08/1.18 % ------ Problem Properties
% 3.08/1.18
% 3.08/1.18 %
% 3.08/1.18 % clauses 16
% 3.08/1.18 % conjectures 16
% 3.08/1.18 % EPR 5
% 3.08/1.18 % Horn 16
% 3.08/1.18 % unary 7
% 3.08/1.18 % binary 2
% 3.08/1.18 % lits 32
% 3.08/1.18 % lits eq 0
% 3.08/1.18 % fd_pure 0
% 3.08/1.18 % fd_pseudo 0
% 3.08/1.18 % fd_cond 0
% 3.08/1.18 % fd_pseudo_cond 0
% 3.08/1.18 % AC symbols 0
% 3.08/1.18
% 3.08/1.18 % ------ Input Options Time Limit: Unbounded
% 3.08/1.18
% 3.08/1.18
% 3.08/1.18 % ------
% 3.08/1.18 % Current options:
% 3.08/1.18 % ------
% 3.08/1.18
% 3.08/1.18
% 3.08/1.18 %
% 3.08/1.18
% 3.08/1.18 % ------ Proving...
% 3.08/1.18 %
% 3.08/1.18
% 3.08/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.08/1.18
% 3.08/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.08/1.18
% 3.08/1.18
%------------------------------------------------------------------------------