%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN152-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n006.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 03:39:18 PM UTC 2026
% Result : Unsatisfiable 2.46s 16.45s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 14 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 32 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f155,axiom,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_117) ).
fof(f162,axiom,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ s0(d)
| ~ q0(X0,X1)
| r1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).
fof(f178,axiom,
! [X0,X1] :
( ~ p1(b,X0,X1)
| ~ r0(e)
| ~ r1(b)
| n2(e) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_140) ).
fof(f369,negated_conjecture,
~ n2(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ n2(e),
inference(cnf_transformation,[],[f369]) ).
tcf(c_444,plain,
! [X0: $i,X1: $i] :
( n2(e)
| ~ r1(b)
| ~ r0(e)
| ~ p1(b,X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_620,plain,
r0(e),
inference(cnf_transformation,[],[f13]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ s0(d)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_631,plain,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_637,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_646,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_647,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_664,plain,
! [X0: $i] : q0(X0,d),
inference(cnf_transformation,[],[f17]) ).
tcf(c_672,plain,
s0(d),
inference(cnf_transformation,[],[f1]) ).
tcf(c_754,plain,
q0(b,d),
inference(instantiation,[status(thm)],[c_664]) ).
tcf(c_768,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_637]) ).
tcf(c_865,plain,
( n2(e)
| ~ r1(b)
| ~ r0(e)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_444]) ).
tcf(c_998,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q1(d,X0,d)
| ~ q0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_630,c_672,c_630]) ).
tcf(c_999,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(renaming,[status(thm)],[c_998]) ).
tcf(c_1147,plain,
! [X0: $i] :
( r1(X0)
| ~ q0(X0,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_999]) ).
tcf(c_1148,plain,
( r1(b)
| ~ q0(b,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1147]) ).
tcf(c_1149,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1148,c_865,c_631,c_768,c_754,c_418,c_620,c_646,c_647,c_672]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN152-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/15.58 % Computer : n006.cluster.edu
% 0.09/15.58 % Model : x86_64 x86_64
% 0.09/15.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.58 % Memory : 8046.5625MB
% 0.09/15.58 % OS : Linux 6.8.0-71-generic
% 0.09/15.58 % CPULimit : 300
% 0.09/15.58 % WCLimit : 300
% 0.09/15.58 % DateTime : Fri Sep 25 00:20:01 UTC 2026
% 0.09/15.58 % CPUTime :
% 0.09/15.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/15.62 Running EPR theorem proving
% 0.13/15.62 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/15.63
% 0.13/15.63 % ======== iProver multi-core TPTP/SMT =========
% 0.13/15.63
% 0.13/15.64 % Detected problem language: tptp
% 0.13/15.65 % Proving...
% 2.46/16.45 % SZS status Started for theBenchmark.p
% 2.46/16.45 % SZS status Unsatisfiable for theBenchmark.p
% 2.46/16.45
% 2.46/16.45 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.46/16.45
% 2.46/16.45 % ------ iProver source info
% 2.46/16.45
% 2.46/16.45 % git: date: 2026-07-19 20:42:38 +0200
% 2.46/16.45 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.46/16.45 % git: non_committed_changes: false
% 2.46/16.45
% 2.46/16.45 % ------ Parsing...% successful
% 2.46/16.45
% 2.46/16.45
% 2.46/16.45 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.46/16.45 %
% 2.46/16.45
% 2.46/16.45 % ------ Preprocessing... sf_s rm: 176 0s sf_e sf_s rm: 0 0s sf_e %
% 2.46/16.45
% 2.46/16.45 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.46/16.45 gs_s sp: 40 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.46/16.45 % ------ Proving...
% 2.46/16.45 % ------ Problem Properties
% 2.46/16.45
% 2.46/16.45 %
% 2.46/16.45 % clauses 172
% 2.46/16.45 % conjectures 1
% 2.46/16.45 % EPR 172
% 2.46/16.45 % Horn 152
% 2.46/16.45 % unary 51
% 2.46/16.45 % binary 61
% 2.46/16.45 % lits 373
% 2.46/16.45 % lits eq 0
% 2.46/16.45 % fd_pure 0
% 2.46/16.45 % fd_pseudo 0
% 2.46/16.45 % fd_cond 0
% 2.46/16.45 % fd_pseudo_cond 0
% 2.46/16.45 % AC symbols 0
% 2.46/16.45
% 2.46/16.45 % ------ Schedule EPR non Horn non eq is on
% 2.46/16.45
% 2.46/16.45 % ------ no equalities: superposition off
% 2.46/16.45
% 2.46/16.45 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.46/16.45
% 2.46/16.45
% 2.46/16.45 % ------
% 2.46/16.45 % Current options:
% 2.46/16.45 % ------
% 2.46/16.45
% 2.46/16.45
% 2.46/16.45 %
% 2.46/16.45
% 2.46/16.45 % ------ Proving...
% 2.46/16.45 %
% 2.46/16.45
% 2.46/16.45 % SZS status Unsatisfiable for theBenchmark.p
% 2.46/16.45
% 2.46/16.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.46/16.45
% 2.46/16.45
%------------------------------------------------------------------------------