%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN138-1 : 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 : n013.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 03:39:16 PM UTC 2026
% Result : Unsatisfiable 2.57s 6.15s
% Output : CNFRefutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of formulae : 45 ( 14 unt; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 124 ( 63 ~; 61 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f59,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).
fof(f155,axiom,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SYN001-0.ax',rule_124) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_127) ).
fof(f168,axiom,
( ~ l1(e,e)
| k2(e,e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_130) ).
fof(f226,axiom,
! [X0] :
( ~ l0(X0)
| ~ r1(X0)
| r2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_188) ).
fof(f269,axiom,
! [X0,X1] :
( ~ k2(c,X1)
| ~ r2(X0)
| m3(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_231) ).
fof(f369,negated_conjecture,
~ m3(c,e,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,plain,
s0(d),
inference(cnf_transformation,[],[f1]) ).
tcf(c_420,plain,
n0(d,e),
inference(cnf_transformation,[],[f3]) ).
tcf(c_434,plain,
! [X0: $i] : q0(X0,d),
inference(cnf_transformation,[],[f17]) ).
tcf(c_441,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_445,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i] :
( l1(X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X0)
| ~ k0(X1)
| ~ l0(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_570,plain,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_577,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ s0(d)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( k2(X2,X1)
| ~ k1(X3)
| ~ k2(X3,X1)
| ~ m1(X0,X1,X2) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_583,plain,
( k2(e,e)
| ~ l1(e,e) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_640,plain,
! [X0: $i] :
( r2(X0)
| ~ r1(X0)
| ~ l0(X0) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_681,plain,
! [X0: $i,X1: $i] :
( m3(X1,X0,X1)
| ~ r2(X1)
| ~ k2(c,X0) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_768,negated_conjecture,
~ m3(c,e,c),
inference(cnf_transformation,[],[f369]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q1(d,X0,d)
| ~ q0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_577,c_418,c_577]) ).
tcf(c_1028,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(renaming,[status(thm)],[c_1027]) ).
tcf(c_1240,plain,
( k1(e)
| ~ n0(d,e) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1258,plain,
( l1(e,e)
| ~ n0(d,e) ),
inference(instantiation,[status(thm)],[c_457]) ).
tcf(c_1296,plain,
! [X0: $i] :
( r1(X0)
| ~ q0(X0,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1028]) ).
tcf(c_1332,plain,
! [X0: $i] :
( m1(c,X0,c)
| ~ l0(c)
| ~ k0(X0) ),
inference(instantiation,[status(thm)],[c_476]) ).
tcf(c_1728,plain,
( m1(c,e,c)
| ~ k0(e)
| ~ l0(c) ),
inference(instantiation,[status(thm)],[c_1332]) ).
tcf(c_1818,plain,
! [X0: $i,X1: $i] :
( k2(c,e)
| ~ k1(X1)
| ~ k2(X1,e)
| ~ m1(X0,e,c) ),
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_1860,plain,
( r2(c)
| ~ r1(c)
| ~ l0(c) ),
inference(instantiation,[status(thm)],[c_640]) ).
tcf(c_2001,plain,
( r1(c)
| ~ q0(c,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1296]) ).
tcf(c_2058,plain,
! [X0: $i] :
( k2(c,e)
| ~ k1(e)
| ~ k2(e,e)
| ~ m1(X0,e,c) ),
inference(instantiation,[status(thm)],[c_1818]) ).
tcf(c_2235,plain,
q0(c,d),
inference(instantiation,[status(thm)],[c_434]) ).
tcf(c_2297,plain,
( k2(c,e)
| ~ k1(e)
| ~ k2(e,e)
| ~ m1(c,e,c) ),
inference(instantiation,[status(thm)],[c_2058]) ).
tcf(c_2340,plain,
( m3(c,e,c)
| ~ r2(c)
| ~ k2(c,e) ),
inference(instantiation,[status(thm)],[c_681]) ).
tcf(c_2341,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2340,c_2297,c_2235,c_2001,c_1860,c_1728,c_1258,c_1240,c_570,c_583,c_768,c_420,c_418,c_441,c_445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN138-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.37 % Computer : n013.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Fri Sep 25 00:15:45 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.42 Running EPR theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 2.57/6.15 % SZS status Started for theBenchmark.p
% 2.57/6.15 % SZS status Unsatisfiable for theBenchmark.p
% 2.57/6.15
% 2.57/6.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.57/6.15
% 2.57/6.15 % ------ iProver source info
% 2.57/6.15
% 2.57/6.15 % git: date: 2026-07-19 20:42:38 +0200
% 2.57/6.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.57/6.15 % git: non_committed_changes: false
% 2.57/6.15
% 2.57/6.15 % ------ Parsing...% successful
% 2.57/6.15
% 2.57/6.15
% 2.57/6.15 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.57/6.15 %
% 2.57/6.15
% 2.57/6.15 % ------ Preprocessing... sf_s rm: 100 0s sf_e sf_s rm: 0 0s sf_e %
% 2.57/6.15
% 2.57/6.15 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.57/6.15 gs_s sp: 79 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.57/6.15 % ------ Proving...
% 2.57/6.15 % ------ Problem Properties
% 2.57/6.15
% 2.57/6.15 %
% 2.57/6.15 % clauses 299
% 2.57/6.15 % conjectures 1
% 2.57/6.15 % EPR 299
% 2.57/6.15 % Horn 260
% 2.57/6.15 % unary 51
% 2.57/6.15 % binary 122
% 2.57/6.15 % lits 721
% 2.57/6.15 % lits eq 0
% 2.57/6.15 % fd_pure 0
% 2.57/6.15 % fd_pseudo 0
% 2.57/6.15 % fd_cond 0
% 2.57/6.15 % fd_pseudo_cond 0
% 2.57/6.15 % AC symbols 0
% 2.57/6.15
% 2.57/6.15 % ------ Schedule EPR non Horn non eq is on
% 2.57/6.15
% 2.57/6.15 % ------ no equalities: superposition off
% 2.57/6.15
% 2.57/6.15 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.57/6.15
% 2.57/6.15
% 2.57/6.15 % ------
% 2.57/6.15 % Current options:
% 2.57/6.15 % ------
% 2.57/6.15
% 2.57/6.15
% 2.57/6.15 %
% 2.57/6.15
% 2.57/6.15 % ------ Proving...
% 2.57/6.15 %
% 2.57/6.15
% 2.57/6.15 % SZS status Unsatisfiable for theBenchmark.p
% 2.57/6.15
% 2.57/6.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.57/6.15
% 2.57/6.15
%------------------------------------------------------------------------------