%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN590-1 : 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 : n019.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 03:41:10 PM UTC 2026
% Result : Unsatisfiable 1.34s 1.17s
% Output : CNFRefutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 76 ( 40 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
p11(c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c16_is_p11_3) ).
fof(f8,negated_conjecture,
p3(f4(c16),f6(c15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
fof(f9,negated_conjecture,
! [X0] :
( ~ p11(X0)
| p11(f9(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_9) ).
fof(f11,negated_conjecture,
! [X0,X1] :
( ~ p10(f6(X0),f6(X1))
| p12(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_11) ).
fof(f18,negated_conjecture,
! [X0] :
( ~ p11(X0)
| p3(f4(X0),f6(f8(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_18) ).
fof(f19,negated_conjecture,
! [X0] :
( ~ p11(X0)
| p10(f4(f9(X0)),f4(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_19) ).
fof(f25,negated_conjecture,
! [X0,X1] :
( ~ p3(f4(X0),f6(X1))
| ~ p12(X1,c15)
| ~ p11(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_25) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p10(X2,X3)
| ~ p3(X3,X1)
| ~ p3(X2,X0)
| p10(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_26) ).
tcf(c_78,negated_conjecture,
p11(c16),
inference(cnf_transformation,[],[f3]) ).
tcf(c_83,negated_conjecture,
p3(f4(c16),f6(c15)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_84,negated_conjecture,
! [X0: $i] :
( p11(f9(X0))
| ~ p11(X0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_86,negated_conjecture,
! [X0: $i,X1: $i] :
( p12(X0,X1)
| ~ p10(f6(X0),f6(X1)) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_93,negated_conjecture,
! [X0: $i] :
( p3(f4(X0),f6(f8(X0)))
| ~ p11(X0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_94,negated_conjecture,
! [X0: $i] :
( p10(f4(f9(X0)),f4(X0))
| ~ p11(X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_100,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ p11(X0)
| ~ p12(X1,c15)
| ~ p3(f4(X0),f6(X1)) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_101,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p10(X1,X3)
| ~ p10(X0,X2)
| ~ p3(X2,X3)
| ~ p3(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_496,plain,
( p11(f9(c16))
| ~ p11(c16) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_505,plain,
( p10(f4(f9(c16)),f4(c16))
| ~ p11(c16) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_534,plain,
! [X0: $i] :
( ~ p11(f9(c16))
| ~ p12(X0,c15)
| ~ p3(f4(f9(c16)),f6(X0)) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_537,plain,
( p3(f4(f9(c16)),f6(f8(f9(c16))))
| ~ p11(f9(c16)) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_552,plain,
! [X0: $i,X1: $i] :
( p10(X0,X1)
| ~ p3(f4(c16),X1)
| ~ p3(f4(f9(c16)),X0)
| ~ p10(f4(f9(c16)),f4(c16)) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_675,plain,
! [X0: $i] :
( p10(X0,f6(c15))
| ~ p3(f4(c16),f6(c15))
| ~ p3(f4(f9(c16)),X0)
| ~ p10(f4(f9(c16)),f4(c16)) ),
inference(instantiation,[status(thm)],[c_552]) ).
tcf(c_1035,plain,
! [X0: $i] :
( p12(X0,c15)
| ~ p10(f6(X0),f6(c15)) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_1517,plain,
( p10(f6(f8(f9(c16))),f6(c15))
| ~ p3(f4(c16),f6(c15))
| ~ p10(f4(f9(c16)),f4(c16))
| ~ p3(f4(f9(c16)),f6(f8(f9(c16)))) ),
inference(instantiation,[status(thm)],[c_675]) ).
tcf(c_2205,plain,
( p12(f8(f9(c16)),c15)
| ~ p10(f6(f8(f9(c16))),f6(c15)) ),
inference(instantiation,[status(thm)],[c_1035]) ).
tcf(c_3221,plain,
( ~ p11(f9(c16))
| ~ p12(f8(f9(c16)),c15)
| ~ p3(f4(f9(c16)),f6(f8(f9(c16)))) ),
inference(instantiation,[status(thm)],[c_534]) ).
tcf(c_3227,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3221,c_2205,c_1517,c_537,c_505,c_496,c_83,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN590-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.35 % Computer : n019.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Fri Sep 25 01:49:49 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 1.34/1.17 % SZS status Started for theBenchmark.p
% 1.34/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.34/1.17
% 1.34/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.34/1.17
% 1.34/1.17 % ------ iProver source info
% 1.34/1.17
% 1.34/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.34/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.34/1.17 % git: non_committed_changes: false
% 1.34/1.17
% 1.34/1.17 % ------ Parsing...% successful
% 1.34/1.17
% 1.34/1.17
% 1.34/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.34/1.17
% 1.34/1.17 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.34/1.17
% 1.34/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.34/1.17 % ------ Proving...
% 1.34/1.17 % ------ Problem Properties
% 1.34/1.17
% 1.34/1.17 %
% 1.34/1.17 % clauses 26
% 1.34/1.17 % conjectures 26
% 1.34/1.17 % EPR 12
% 1.34/1.17 % Horn 26
% 1.34/1.17 % unary 8
% 1.34/1.17 % binary 11
% 1.34/1.17 % lits 53
% 1.34/1.17 % lits eq 0
% 1.34/1.17 % fd_pure 0
% 1.34/1.17 % fd_pseudo 0
% 1.34/1.17 % fd_cond 0
% 1.34/1.17 % fd_pseudo_cond 0
% 1.34/1.17 % AC symbols 0
% 1.34/1.17
% 1.34/1.17 % ------ Schedule dynamic 5 is on
% 1.34/1.17
% 1.34/1.17 % ------ no equalities: superposition off
% 1.34/1.17
% 1.34/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.34/1.17
% 1.34/1.17
% 1.34/1.17 % ------
% 1.34/1.17 % Current options:
% 1.34/1.17 % ------
% 1.34/1.17
% 1.34/1.17
% 1.34/1.17 %
% 1.34/1.17
% 1.34/1.17 % ------ Proving...
% 1.34/1.17 %
% 1.34/1.17
% 1.34/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.34/1.17
% 1.34/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.34/1.17
% 1.34/1.17
%------------------------------------------------------------------------------