%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN169-1 : 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 : n007.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 03:39:21 PM UTC 2026
% Result : Unsatisfiable 2.70s 1.22s
% Output : CNFRefutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 21 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 8 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f135,axiom,
! [X0] :
( ~ s0(X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_097) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f290,axiom,
! [X2,X0,X1] :
( ~ k2(X2,X2)
| ~ q0(X1,X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_252) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ p3(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i,X1: $i] : ~ p3(X0,d,X1),
inference(cnf_transformation,[],[f369]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i,X2: $i] :
( p3(X1,X1,X1)
| ~ k2(X2,X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_514,plain,
! [X0: $i] :
( q1(X0,X0,X0)
| ~ s0(X0) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_565,plain,
! [X0: $i,X1: $i] :
( k2(X1,X1)
| ~ q1(X0,X1,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_585,plain,
! [X0: $i] : q0(X0,d),
inference(cnf_transformation,[],[f17]) ).
tcf(c_659,plain,
s0(b),
inference(cnf_transformation,[],[f5]) ).
tcf(c_776,plain,
( q1(b,b,b)
| ~ s0(b) ),
inference(instantiation,[status(thm)],[c_514]) ).
tcf(c_785,plain,
( k2(b,b)
| ~ q1(b,b,b) ),
inference(instantiation,[status(thm)],[c_565]) ).
tcf(c_1098,plain,
! [X0: $i] :
( ~ iPr_def_53
| ~ k2(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_53])],[c_431]) ).
tcf(c_1099,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_54
| ~ q0(X1,X0)
| p3(X0,X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_54])],[c_431]) ).
tcf(c_1100,plain,
( iPr_def_54
| iPr_def_53 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).
tcf(c_1165,plain,
( ~ iPr_def_53
| ~ k2(b,b) ),
inference(instantiation,[status(thm)],[c_1098]) ).
tcf(c_1217,plain,
~ p3(d,d,d),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_1604,plain,
! [X0: $i] :
( p3(d,d,d)
| ~ iPr_def_54
| ~ q0(X0,d) ),
inference(instantiation,[status(thm)],[c_1099]) ).
tcf(c_1606,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1604,c_1217,c_1165,c_1100,c_785,c_776,c_585,c_659]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN169-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n007.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 00:21:08 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 EPR theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 2.70/1.22 % SZS status Started for theBenchmark.p
% 2.70/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 2.70/1.22
% 2.70/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.70/1.22
% 2.70/1.22 % ------ iProver source info
% 2.70/1.22
% 2.70/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 2.70/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.70/1.22 % git: non_committed_changes: false
% 2.70/1.22
% 2.70/1.22 % ------ Parsing...% successful
% 2.70/1.22
% 2.70/1.22
% 2.70/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.70/1.22 %
% 2.70/1.22
% 2.70/1.22 % ------ Preprocessing... sf_s rm: 61 0s sf_e sf_s rm: 0 0s sf_e %
% 2.70/1.22
% 2.70/1.22 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.70/1.22 gs_s sp: 88 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.70/1.22 % ------ Proving...
% 2.70/1.22 % ------ Problem Properties
% 2.70/1.22
% 2.70/1.22 %
% 2.70/1.22 % clauses 332
% 2.70/1.22 % conjectures 1
% 2.70/1.22 % EPR 332
% 2.70/1.22 % Horn 289
% 2.70/1.22 % unary 51
% 2.70/1.22 % binary 137
% 2.70/1.22 % lits 809
% 2.70/1.22 % lits eq 0
% 2.70/1.22 % fd_pure 0
% 2.70/1.22 % fd_pseudo 0
% 2.70/1.22 % fd_cond 0
% 2.70/1.22 % fd_pseudo_cond 0
% 2.70/1.22 % AC symbols 0
% 2.70/1.22
% 2.70/1.22 % ------ Schedule EPR non Horn non eq is on
% 2.70/1.22
% 2.70/1.22 % ------ no equalities: superposition off
% 2.70/1.22
% 2.70/1.22 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.70/1.22
% 2.70/1.22
% 2.70/1.22 % ------
% 2.70/1.22 % Current options:
% 2.70/1.22 % ------
% 2.70/1.22
% 2.70/1.22
% 2.70/1.22 %
% 2.70/1.22
% 2.70/1.22 % ------ Proving...
% 2.70/1.22 %
% 2.70/1.22
% 2.70/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 2.70/1.22
% 2.70/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.70/1.22
% 2.70/1.22
%------------------------------------------------------------------------------