%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN256-1 : 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 : n004.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 03:39:33 PM UTC 2026
% Result : Unsatisfiable 2.34s 1.21s
% Output : CNFRefutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_18) ).
fof(f107,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_069) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f369,negated_conjecture,
~ n2(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ n2(c),
inference(cnf_transformation,[],[f369]) ).
tcf(c_429,plain,
p0(c,b),
inference(cnf_transformation,[],[f18]) ).
tcf(c_446,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_480,plain,
! [X0: $i,X1: $i] :
( p1(X1,X1,X0)
| ~ p0(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_1096,plain,
! [X0: $i,X1: $i] :
( n2(c)
| ~ p1(X0,X1,c) ),
inference(instantiation,[status(thm)],[c_446]) ).
tcf(c_1097,plain,
( n2(c)
| ~ p1(b,b,c) ),
inference(instantiation,[status(thm)],[c_1096]) ).
tcf(c_1173,plain,
! [X0: $i] :
( p1(X0,X0,c)
| ~ p0(c,X0) ),
inference(instantiation,[status(thm)],[c_480]) ).
tcf(c_1174,plain,
( p1(b,b,c)
| ~ p0(c,b) ),
inference(instantiation,[status(thm)],[c_1173]) ).
tcf(c_1175,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1174,c_1097,c_429,c_418]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN256-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 00:38:20 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running EPR theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 2.34/1.21 % SZS status Started for theBenchmark.p
% 2.34/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 2.34/1.21
% 2.34/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.34/1.21
% 2.34/1.21 % ------ iProver source info
% 2.34/1.21
% 2.34/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 2.34/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.34/1.21 % git: non_committed_changes: false
% 2.34/1.21
% 2.34/1.21 % ------ Parsing...% successful
% 2.34/1.21
% 2.34/1.21
% 2.34/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.34/1.21 %
% 2.34/1.21
% 2.34/1.21 % ------ Preprocessing... sf_s rm: 202 0s sf_e sf_s rm: 0 0s sf_e %
% 2.34/1.21
% 2.34/1.21 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.34/1.21 gs_s sp: 28 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.34/1.21 % ------ Proving...
% 2.34/1.21 % ------ Problem Properties
% 2.34/1.21
% 2.34/1.21 %
% 2.34/1.21 % clauses 136
% 2.34/1.21 % conjectures 1
% 2.34/1.21 % EPR 136
% 2.34/1.21 % Horn 122
% 2.34/1.21 % unary 49
% 2.34/1.21 % binary 41
% 2.34/1.21 % lits 283
% 2.34/1.21 % lits eq 0
% 2.34/1.21 % fd_pure 0
% 2.34/1.21 % fd_pseudo 0
% 2.34/1.21 % fd_cond 0
% 2.34/1.21 % fd_pseudo_cond 0
% 2.34/1.21 % AC symbols 0
% 2.34/1.21
% 2.34/1.21 % ------ Schedule EPR non Horn non eq is on
% 2.34/1.21
% 2.34/1.21 % ------ no equalities: superposition off
% 2.34/1.21
% 2.34/1.21 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.34/1.21
% 2.34/1.21
% 2.34/1.21 % ------
% 2.34/1.21 % Current options:
% 2.34/1.21 % ------
% 2.34/1.21
% 2.34/1.21
% 2.34/1.21 %
% 2.34/1.21
% 2.34/1.21 % ------ Proving...
% 2.34/1.21 %
% 2.34/1.21
% 2.34/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 2.34/1.21
% 2.34/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.34/1.21
% 2.34/1.21
%------------------------------------------------------------------------------