%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN175-1 : 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 : n017.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 03:39:22 PM UTC 2026
% Result : Unsatisfiable 1.13s 1.19s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 16 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 32 ~; 29 |; 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 : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f21,axiom,
q0(b,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_21) ).
fof(f25,axiom,
q0(d,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_25) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
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(f98,axiom,
( ~ k0(b)
| ~ m1(d,e,e)
| ~ q0(b,e)
| n1(d,d,b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_060) ).
fof(f217,axiom,
! [X0,X1] :
( ~ n1(X0,X0,X1)
| ~ k1(X1)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_179) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ q2(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_420,plain,
n0(d,e),
inference(cnf_transformation,[],[f3]) ).
tcf(c_424,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_438,plain,
q0(b,e),
inference(cnf_transformation,[],[f21]) ).
tcf(c_442,plain,
q0(d,d),
inference(cnf_transformation,[],[f25]) ).
tcf(c_449,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_454,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_489,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X1)
| ~ k1(a)
| ~ k1(X1)
| ~ q0(X0,X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_514,plain,
( n1(d,d,b)
| ~ k0(b)
| ~ q0(b,e)
| ~ m1(d,e,e) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_631,plain,
! [X0: $i,X1: $i] :
( q2(X0,X0,X0)
| ~ k1(X1)
| ~ n1(X0,X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_768,negated_conjecture,
! [X0: $i,X1: $i] : ~ q2(X0,d,X1),
inference(cnf_transformation,[],[f369]) ).
tcf(c_1044,plain,
( n1(d,d,b)
| ~ m1(d,e,e) ),
inference(global_subsumption_just,[status(thm)],[c_514,c_449,c_438,c_514]) ).
tcf(c_1161,plain,
~ q2(d,d,d),
inference(instantiation,[status(thm)],[c_768]) ).
tcf(c_1176,plain,
( k1(e)
| ~ n0(d,e) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1177,plain,
( k1(b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1183,plain,
( k1(a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1405,plain,
! [X0: $i] :
( q2(d,d,d)
| ~ k1(X0)
| ~ n1(d,d,X0) ),
inference(instantiation,[status(thm)],[c_631]) ).
tcf(c_1406,plain,
( q2(d,d,d)
| ~ k1(b)
| ~ n1(d,d,b) ),
inference(instantiation,[status(thm)],[c_1405]) ).
tcf(c_1437,plain,
( m1(d,e,e)
| ~ k1(a)
| ~ k1(e)
| ~ q0(d,d) ),
inference(instantiation,[status(thm)],[c_489]) ).
tcf(c_1438,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1437,c_1406,c_1183,c_1177,c_1176,c_1161,c_1044,c_420,c_424,c_442,c_454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN175-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.43 % Computer : n017.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 00:19:02 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.47 Running EPR theorem proving
% 0.17/0.47 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
% 0.23/0.49
% 0.23/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.49
% 0.23/0.49 % Detected problem language: tptp
% 0.23/0.50 % Proving...
% 1.13/1.19 % SZS status Started for theBenchmark.p
% 1.13/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.13/1.19
% 1.13/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.13/1.19
% 1.13/1.19 % ------ iProver source info
% 1.13/1.19
% 1.13/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 1.13/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.13/1.19 % git: non_committed_changes: false
% 1.13/1.19
% 1.13/1.19 % ------ Parsing...% successful
% 1.13/1.19
% 1.13/1.19
% 1.13/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.13/1.19 %
% 1.13/1.19
% 1.13/1.19 % ------ Preprocessing... sf_s rm: 180 0s sf_e sf_s rm: 0 0s sf_e %
% 1.13/1.19
% 1.13/1.19 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.13/1.19 gs_s sp: 46 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.13/1.19 % ------ Proving...
% 1.13/1.19 % ------ Problem Properties
% 1.13/1.19
% 1.13/1.19 %
% 1.13/1.19 % clauses 189
% 1.13/1.19 % conjectures 1
% 1.13/1.19 % EPR 189
% 1.13/1.19 % Horn 166
% 1.13/1.19 % unary 50
% 1.13/1.19 % binary 68
% 1.13/1.19 % lits 424
% 1.13/1.19 % lits eq 0
% 1.13/1.19 % fd_pure 0
% 1.13/1.19 % fd_pseudo 0
% 1.13/1.19 % fd_cond 0
% 1.13/1.19 % fd_pseudo_cond 0
% 1.13/1.19 % AC symbols 0
% 1.13/1.19
% 1.13/1.19 % ------ Schedule EPR non Horn non eq is on
% 1.13/1.19
% 1.13/1.19 % ------ no equalities: superposition off
% 1.13/1.19
% 1.13/1.19 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.13/1.19
% 1.13/1.19
% 1.13/1.19 % ------
% 1.13/1.19 % Current options:
% 1.13/1.19 % ------
% 1.13/1.19
% 1.13/1.19
% 1.13/1.19 %
% 1.13/1.19
% 1.13/1.19 % ------ Proving...
% 1.13/1.19 %
% 1.13/1.19
% 1.13/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.13/1.19
% 1.13/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.13/1.19
% 1.13/1.19
%------------------------------------------------------------------------------