%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN127-1 : 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 : n011.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 03:39:15 PM UTC 2026
% Result : Unsatisfiable 2.75s 1.21s
% Output : CNFRefutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 36 ( 14 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 40 ~; 38 |; 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 : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_068) ).
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(f178,axiom,
! [X0,X1] :
( ~ p1(b,X0,X1)
| ~ r0(e)
| ~ r1(b)
| n2(e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_140) ).
fof(f282,axiom,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f315,axiom,
! [X2,X0,X1] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_277) ).
fof(f369,negated_conjecture,
~ l4(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ l4(e),
inference(cnf_transformation,[],[f369]) ).
tcf(c_435,plain,
! [X0: $i,X1: $i,X2: $i] :
( l4(X2)
| ~ p3(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_510,plain,
! [X0: $i,X1: $i] :
( n2(e)
| ~ r1(b)
| ~ r0(e)
| ~ p1(b,X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ s0(d)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_558,plain,
! [X0: $i] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_579,plain,
r0(e),
inference(cnf_transformation,[],[f13]) ).
tcf(c_601,plain,
! [X0: $i] : q0(X0,d),
inference(cnf_transformation,[],[f17]) ).
tcf(c_605,plain,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_614,plain,
s0(d),
inference(cnf_transformation,[],[f1]) ).
tcf(c_689,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_691,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_692,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_764,plain,
q0(b,d),
inference(instantiation,[status(thm)],[c_601]) ).
tcf(c_778,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_689]) ).
tcf(c_882,plain,
( n2(e)
| ~ r1(b)
| ~ r0(e)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_510]) ).
tcf(c_1012,plain,
( n2(e)
| ~ r1(b) ),
inference(global_subsumption_just,[status(thm)],[c_510,c_691,c_579,c_778,c_882]) ).
tcf(c_1024,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q1(d,X0,d)
| ~ q0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_511,c_614,c_511]) ).
tcf(c_1025,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(renaming,[status(thm)],[c_1024]) ).
tcf(c_1234,plain,
! [X0: $i,X1: $i] :
( l4(e)
| ~ p3(X0,X1,e) ),
inference(instantiation,[status(thm)],[c_435]) ).
tcf(c_1313,plain,
! [X0: $i] :
( r1(X0)
| ~ q0(X0,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1025]) ).
tcf(c_1314,plain,
( r1(b)
| ~ q0(b,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1313]) ).
tcf(c_1647,plain,
( l4(e)
| ~ p3(e,e,e) ),
inference(instantiation,[status(thm)],[c_1234]) ).
tcf(c_1649,plain,
( p3(e,e,e)
| ~ n2(e) ),
inference(instantiation,[status(thm)],[c_558]) ).
tcf(c_1650,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1649,c_1647,c_1314,c_1012,c_605,c_764,c_418,c_614,c_692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN127-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 00:15:44 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running EPR theorem proving
% 0.11/0.41 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 2.75/1.21 % SZS status Started for theBenchmark.p
% 2.75/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 2.75/1.21
% 2.75/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.75/1.21
% 2.75/1.21 % ------ iProver source info
% 2.75/1.21
% 2.75/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 2.75/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.75/1.21 % git: non_committed_changes: false
% 2.75/1.21
% 2.75/1.21 % ------ Parsing...% successful
% 2.75/1.21
% 2.75/1.21
% 2.75/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.75/1.21 %
% 2.75/1.21
% 2.75/1.21 % ------ Preprocessing... sf_s rm: 69 0s sf_e sf_s rm: 0 0s sf_e %
% 2.75/1.21
% 2.75/1.21 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.75/1.21 gs_s sp: 88 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.75/1.21 % ------ Proving...
% 2.75/1.21 % ------ Problem Properties
% 2.75/1.21
% 2.75/1.21 %
% 2.75/1.21 % clauses 334
% 2.75/1.21 % conjectures 1
% 2.75/1.21 % EPR 334
% 2.75/1.21 % Horn 291
% 2.75/1.21 % unary 51
% 2.75/1.21 % binary 138
% 2.75/1.21 % lits 814
% 2.75/1.21 % lits eq 0
% 2.75/1.21 % fd_pure 0
% 2.75/1.21 % fd_pseudo 0
% 2.75/1.21 % fd_cond 0
% 2.75/1.21 % fd_pseudo_cond 0
% 2.75/1.21 % AC symbols 0
% 2.75/1.21
% 2.75/1.21 % ------ Schedule EPR non Horn non eq is on
% 2.75/1.21
% 2.75/1.21 % ------ no equalities: superposition off
% 2.75/1.21
% 2.75/1.21 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.75/1.21
% 2.75/1.21
% 2.75/1.21 % ------
% 2.75/1.21 % Current options:
% 2.75/1.21 % ------
% 2.75/1.21
% 2.75/1.21
% 2.75/1.21 %
% 2.75/1.21
% 2.75/1.21 % ------ Proving...
% 2.75/1.21 %
% 2.75/1.21
% 2.75/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 2.75/1.21
% 2.75/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.75/1.22
% 2.75/1.22
%------------------------------------------------------------------------------