%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN201-1 : 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 : n005.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 03:39:25 PM UTC 2026
% Result : Unsatisfiable 0.69s 1.11s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).
fof(f227,axiom,
! [X0] :
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f369,negated_conjecture,
~ s2(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_431,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_449,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_522,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_578,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_633,plain,
! [X0: $i] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_641,plain,
! [X0: $i] :
( s2(X0)
| ~ s1(b)
| ~ q2(b,X0,b) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_768,negated_conjecture,
~ s2(b),
inference(cnf_transformation,[],[f369]) ).
tcf(c_770,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_775,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_578]) ).
tcf(c_789,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_522]) ).
tcf(c_818,plain,
( q2(b,b,b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_633]) ).
tcf(c_831,plain,
( s2(b)
| ~ s1(b)
| ~ q2(b,b,b) ),
inference(instantiation,[status(thm)],[c_641]) ).
tcf(c_832,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_831,c_818,c_789,c_775,c_770,c_768,c_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN201-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n005.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 00:28:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running EPR theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 0.69/1.11 % SZS status Started for theBenchmark.p
% 0.69/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.69/1.11
% 0.69/1.11 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.69/1.11
% 0.69/1.11 % ------ iProver source info
% 0.69/1.11
% 0.69/1.11 % git: date: 2026-07-19 20:42:38 +0200
% 0.69/1.11 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.69/1.11 % git: non_committed_changes: false
% 0.69/1.11
% 0.69/1.11 % ------ Parsing...% successful
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.69/1.11 %
% 0.69/1.11
% 0.69/1.11 % ------ Preprocessing...%
% 0.69/1.11
% 0.69/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.69/1.11
% 0.69/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.69/1.11
% 0.69/1.11
%------------------------------------------------------------------------------