%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN250-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.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 03:39:32 PM UTC 2026
% Result : Unsatisfiable 3.07s 16.27s
% Output : CNFRefutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 15 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 98 ( 50 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
q0(b,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_6) ).
fof(f12,axiom,
! [X0] : m0(a,X0,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
fof(f21,axiom,
q0(b,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_21) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f54,axiom,
! [X2,X3,X0,X1] :
( ~ m1(X2,X3,X1)
| ~ m1(X2,X1,X0)
| m1(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_016) ).
fof(f62,axiom,
! [X2,X0,X1] :
( ~ m1(X1,c,X1)
| ~ q0(X0,X1)
| ~ m0(a,X2,a)
| m1(X0,a,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_024) ).
fof(f72,axiom,
! [X0,X1] :
( ~ q0(X0,X0)
| ~ k1(X1)
| ~ k1(a)
| m1(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_034) ).
fof(f73,axiom,
! [X0,X1] :
( ~ l0(X1)
| ~ r0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_035) ).
fof(f369,negated_conjecture,
~ m1(e,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ m1(e,a,a),
inference(cnf_transformation,[],[f369]) ).
tcf(c_440,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1(X2,a,X0)
| ~ q0(X2,X0)
| ~ m0(a,X1,a)
| ~ m1(X0,c,X0) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_444,plain,
! [X0: $i] : m0(a,X0,a),
inference(cnf_transformation,[],[f12]) ).
tcf(c_455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1(X2,X1,X1)
| ~ m1(X0,X3,X1)
| ~ m1(X0,X1,X2) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_510,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X0)
| ~ l0(X1)
| ~ r0(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_515,plain,
r0(e),
inference(cnf_transformation,[],[f13]) ).
tcf(c_534,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X1)
| ~ k1(a)
| ~ k1(X1)
| ~ q0(X0,X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_540,plain,
q0(b,e),
inference(cnf_transformation,[],[f21]) ).
tcf(c_542,plain,
q0(b,b),
inference(cnf_transformation,[],[f6]) ).
tcf(c_572,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_590,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_591,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_966,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ m0(a,X0,a) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_440]) ).
tcf(c_967,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ~ q0(X1,X0)
| m1(X1,a,X0)
| ~ m1(X0,c,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_440]) ).
tcf(c_968,plain,
( iPr_def_13
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).
tcf(c_1009,plain,
! [X0: $i,X1: $i] :
( m1(e,a,a)
| ~ m1(X0,a,e)
| ~ m1(X0,X1,a) ),
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_1016,plain,
! [X0: $i] :
( m1(X0,c,X0)
| ~ l0(c)
| ~ r0(X0) ),
inference(instantiation,[status(thm)],[c_510]) ).
tcf(c_1027,plain,
( k1(a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_590]) ).
tcf(c_1061,plain,
! [X0: $i] :
( m1(X0,a,e)
| ~ iPr_def_13
| ~ q0(X0,e)
| ~ m1(e,c,e) ),
inference(instantiation,[status(thm)],[c_967]) ).
tcf(c_1062,plain,
( m1(b,a,e)
| ~ iPr_def_13
| ~ q0(b,e)
| ~ m1(e,c,e) ),
inference(instantiation,[status(thm)],[c_1061]) ).
tcf(c_1078,plain,
( m1(e,c,e)
| ~ l0(c)
| ~ r0(e) ),
inference(instantiation,[status(thm)],[c_1016]) ).
tcf(c_1087,plain,
! [X0: $i] :
( m1(e,a,a)
| ~ m1(X0,a,a)
| ~ m1(X0,a,e) ),
inference(instantiation,[status(thm)],[c_1009]) ).
tcf(c_1089,plain,
( m1(e,a,a)
| ~ m1(b,a,a)
| ~ m1(b,a,e) ),
inference(instantiation,[status(thm)],[c_1087]) ).
tcf(c_1127,plain,
! [X0: $i] :
( m1(X0,a,a)
| ~ k1(a)
| ~ q0(X0,X0) ),
inference(instantiation,[status(thm)],[c_534]) ).
tcf(c_1128,plain,
( m1(b,a,a)
| ~ k1(a)
| ~ q0(b,b) ),
inference(instantiation,[status(thm)],[c_1127]) ).
tcf(c_1129,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1128,c_1089,c_1078,c_1062,c_1027,c_966,c_968,c_418,c_444,c_540,c_542,c_591,c_515,c_572]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN250-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/15.40 % Computer : n018.cluster.edu
% 0.11/15.40 % Model : x86_64 x86_64
% 0.11/15.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.40 % Memory : 8046.5625MB
% 0.11/15.40 % OS : Linux 6.8.0-71-generic
% 0.11/15.40 % CPULimit : 300
% 0.11/15.40 % WCLimit : 300
% 0.11/15.40 % DateTime : Fri Sep 25 00:40:07 UTC 2026
% 0.11/15.40 % CPUTime :
% 0.11/15.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/15.44 Running EPR theorem proving
% 0.11/15.44 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/15.46
% 0.11/15.46 % ======== iProver multi-core TPTP/SMT =========
% 0.11/15.46
% 0.11/15.46 % Detected problem language: tptp
% 0.11/15.47 % Proving...
% 3.07/16.27 % SZS status Started for theBenchmark.p
% 3.07/16.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.07/16.27
% 3.07/16.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.07/16.27
% 3.07/16.27 % ------ iProver source info
% 3.07/16.27
% 3.07/16.27 % git: date: 2026-07-19 20:42:38 +0200
% 3.07/16.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.07/16.27 % git: non_committed_changes: false
% 3.07/16.27
% 3.07/16.27 % ------ Parsing...% successful
% 3.07/16.27
% 3.07/16.27
% 3.07/16.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 3.07/16.27 %
% 3.07/16.27
% 3.07/16.27 % ------ Preprocessing... sf_s rm: 211 0s sf_e sf_s rm: 0 0s sf_e %
% 3.07/16.27
% 3.07/16.27 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 3.07/16.27 gs_s sp: 10 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.07/16.27 % ------ Proving...
% 3.07/16.27 % ------ Problem Properties
% 3.07/16.27
% 3.07/16.27 %
% 3.07/16.27 % clauses 75
% 3.07/16.27 % conjectures 1
% 3.07/16.27 % EPR 75
% 3.07/16.27 % Horn 70
% 3.07/16.27 % unary 43
% 3.07/16.27 % binary 15
% 3.07/16.27 % lits 129
% 3.07/16.27 % lits eq 0
% 3.07/16.27 % fd_pure 0
% 3.07/16.27 % fd_pseudo 0
% 3.07/16.27 % fd_cond 0
% 3.07/16.27 % fd_pseudo_cond 0
% 3.07/16.27 % AC symbols 0
% 3.07/16.27
% 3.07/16.27 % ------ Schedule EPR non Horn non eq is on
% 3.07/16.27
% 3.07/16.27 % ------ no equalities: superposition off
% 3.07/16.27
% 3.07/16.27 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.07/16.27
% 3.07/16.27
% 3.07/16.27 % ------
% 3.07/16.27 % Current options:
% 3.07/16.27 % ------
% 3.07/16.27
% 3.07/16.27
% 3.07/16.27 %
% 3.07/16.27
% 3.07/16.27 % ------ Proving...
% 3.07/16.27 %
% 3.07/16.27
% 3.07/16.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.07/16.27
% 3.07/16.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.07/16.27
% 3.07/16.27
%------------------------------------------------------------------------------