%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN293-1 : 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 : n003.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 03:39:38 PM UTC 2026
% Result : Unsatisfiable 2.70s 6.24s
% Output : CNFRefutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 47 ( 25 ~; 22 |; 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; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f25,axiom,
q0(d,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_25) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f72,axiom,
! [X0,X1] :
( ~ q0(X0,X0)
| ~ k1(X1)
| ~ k1(a)
| m1(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_034) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ m1(X0,X1,X1)
| ~ r0(X2)
| q1(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_113) ).
fof(f369,negated_conjecture,
~ q1(d,d,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ q1(d,d,a),
inference(cnf_transformation,[],[f369]) ).
tcf(c_451,plain,
! [X0: $i,X1: $i,X2: $i] :
( q1(X0,X0,X1)
| ~ r0(X2)
| ~ m1(X0,X1,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_511,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_531,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X1)
| ~ k1(a)
| ~ k1(X1)
| ~ q0(X0,X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_536,plain,
q0(d,d),
inference(cnf_transformation,[],[f25]) ).
tcf(c_594,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_595,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_972,plain,
! [X0: $i] :
( ~ iPr_def_16
| ~ r0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_451]) ).
tcf(c_973,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_17
| q1(X0,X0,X1)
| ~ m1(X0,X1,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_451]) ).
tcf(c_974,plain,
( iPr_def_17
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).
tcf(c_1019,plain,
( ~ iPr_def_16
| ~ r0(b) ),
inference(instantiation,[status(thm)],[c_972]) ).
tcf(c_1047,plain,
( q1(d,d,a)
| ~ iPr_def_17
| ~ m1(d,a,a) ),
inference(instantiation,[status(thm)],[c_973]) ).
tcf(c_1067,plain,
( k1(a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_594]) ).
tcf(c_1203,plain,
( m1(d,a,a)
| ~ k1(a)
| ~ q0(d,d) ),
inference(instantiation,[status(thm)],[c_531]) ).
tcf(c_1204,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1203,c_1067,c_1047,c_1019,c_974,c_418,c_536,c_595,c_511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN293-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n003.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Fri Sep 25 00:46:43 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.42 Running EPR theorem proving
% 0.13/5.42 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
% 0.13/5.43
% 0.13/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.43
% 0.13/5.43 % Detected problem language: tptp
% 0.13/5.44 % Proving...
% 2.70/6.24 % SZS status Started for theBenchmark.p
% 2.70/6.24 % SZS status Unsatisfiable for theBenchmark.p
% 2.70/6.24
% 2.70/6.24 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.70/6.24
% 2.70/6.24 % ------ iProver source info
% 2.70/6.24
% 2.70/6.24 % git: date: 2026-07-19 20:42:38 +0200
% 2.70/6.24 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.70/6.24 % git: non_committed_changes: false
% 2.70/6.24
% 2.70/6.24 % ------ Parsing...% successful
% 2.70/6.24
% 2.70/6.24
% 2.70/6.24 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.70/6.24 %
% 2.70/6.24
% 2.70/6.24 % ------ Preprocessing... sf_s rm: 142 0s sf_e sf_s rm: 0 0s sf_e %
% 2.70/6.24
% 2.70/6.24 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.70/6.24 gs_s sp: 40 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.70/6.24 % ------ Proving...
% 2.70/6.24 % ------ Problem Properties
% 2.70/6.24
% 2.70/6.24 %
% 2.70/6.24 % clauses 168
% 2.70/6.24 % conjectures 1
% 2.70/6.24 % EPR 168
% 2.70/6.24 % Horn 148
% 2.70/6.24 % unary 50
% 2.70/6.24 % binary 60
% 2.70/6.24 % lits 364
% 2.70/6.24 % lits eq 0
% 2.70/6.24 % fd_pure 0
% 2.70/6.24 % fd_pseudo 0
% 2.70/6.24 % fd_cond 0
% 2.70/6.24 % fd_pseudo_cond 0
% 2.70/6.24 % AC symbols 0
% 2.70/6.24
% 2.70/6.24 % ------ Schedule EPR non Horn non eq is on
% 2.70/6.24
% 2.70/6.24 % ------ no equalities: superposition off
% 2.70/6.24
% 2.70/6.24 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.70/6.24
% 2.70/6.24
% 2.70/6.24 % ------
% 2.70/6.24 % Current options:
% 2.70/6.24 % ------
% 2.70/6.24
% 2.70/6.24
% 2.70/6.24 %
% 2.70/6.24
% 2.70/6.24 % ------ Proving...
% 2.70/6.24 %
% 2.70/6.24
% 2.70/6.24 % SZS status Unsatisfiable for theBenchmark.p
% 2.70/6.24
% 2.70/6.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.70/6.24
% 2.70/6.24
%------------------------------------------------------------------------------