%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN283-1 : 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 : n010.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 03:39:36 PM UTC 2026
% Result : Unsatisfiable 2.69s 1.23s
% Output : CNFRefutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 57 ( 30 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 9 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
q0(b,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_6) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f142,axiom,
! [X2,X3,X0,X1] :
( ~ q0(X1,X1)
| ~ p0(X3,X0)
| ~ r0(X2)
| ~ l0(X0)
| q1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_104) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ m1(X0,X1,X1)
| ~ r0(X2)
| q1(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_113) ).
fof(f369,negated_conjecture,
~ q1(a,b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ q1(a,b,a),
inference(cnf_transformation,[],[f369]) ).
tcf(c_445,plain,
! [X0: $i,X1: $i,X2: $i] :
( q1(X0,X0,X1)
| ~ r0(X2)
| ~ m1(X0,X1,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( q1(X2,X0,X2)
| ~ l0(X2)
| ~ r0(X3)
| ~ p0(X1,X2)
| ~ q0(X0,X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_512,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_523,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_539,plain,
q0(b,b),
inference(cnf_transformation,[],[f6]) ).
tcf(c_577,plain,
l0(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_972,plain,
! [X0: $i] :
( ~ iPr_def_16
| ~ r0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_445]) ).
tcf(c_978,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_20
| ~ l0(X0)
| ~ q0(X1,X1)
| ~ p0(X2,X0)
| q1(X0,X1,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_500]) ).
tcf(c_979,plain,
( iPr_def_20
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_500]) ).
tcf(c_1019,plain,
( ~ iPr_def_16
| ~ r0(b) ),
inference(instantiation,[status(thm)],[c_972]) ).
tcf(c_1047,plain,
! [X0: $i,X1: $i] :
( q1(a,X0,a)
| ~ iPr_def_20
| ~ l0(a)
| ~ p0(X1,a)
| ~ q0(X0,X0) ),
inference(instantiation,[status(thm)],[c_978]) ).
tcf(c_1048,plain,
( q1(a,b,a)
| ~ iPr_def_20
| ~ l0(a)
| ~ p0(b,a)
| ~ q0(b,b) ),
inference(instantiation,[status(thm)],[c_1047]) ).
tcf(c_1151,plain,
p0(b,a),
inference(instantiation,[status(thm)],[c_523]) ).
tcf(c_1152,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1151,c_1048,c_1019,c_979,c_418,c_539,c_512,c_577]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN283-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 00:43:43 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running EPR theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 2.69/1.23 % SZS status Started for theBenchmark.p
% 2.69/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 2.69/1.23
% 2.69/1.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.69/1.23
% 2.69/1.23 % ------ iProver source info
% 2.69/1.23
% 2.69/1.23 % git: date: 2026-07-19 20:42:38 +0200
% 2.69/1.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.69/1.23 % git: non_committed_changes: false
% 2.69/1.23
% 2.69/1.23 % ------ Parsing...% successful
% 2.69/1.23
% 2.69/1.23
% 2.69/1.23 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.69/1.23 %
% 2.69/1.23
% 2.69/1.23 % ------ Preprocessing... sf_s rm: 142 0s sf_e sf_s rm: 0 0s sf_e %
% 2.69/1.23
% 2.69/1.23 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.69/1.23 gs_s sp: 40 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.69/1.23 % ------ Proving...
% 2.69/1.23 % ------ Problem Properties
% 2.69/1.23
% 2.69/1.23 %
% 2.69/1.23 % clauses 168
% 2.69/1.23 % conjectures 1
% 2.69/1.23 % EPR 168
% 2.69/1.23 % Horn 148
% 2.69/1.23 % unary 50
% 2.69/1.23 % binary 60
% 2.69/1.23 % lits 364
% 2.69/1.23 % lits eq 0
% 2.69/1.23 % fd_pure 0
% 2.69/1.23 % fd_pseudo 0
% 2.69/1.23 % fd_cond 0
% 2.69/1.23 % fd_pseudo_cond 0
% 2.69/1.23 % AC symbols 0
% 2.69/1.23
% 2.69/1.23 % ------ Schedule EPR non Horn non eq is on
% 2.69/1.23
% 2.69/1.23 % ------ no equalities: superposition off
% 2.69/1.23
% 2.69/1.23 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.69/1.23
% 2.69/1.23
% 2.69/1.23 % ------
% 2.69/1.23 % Current options:
% 2.69/1.23 % ------
% 2.69/1.23
% 2.69/1.23
% 2.69/1.23 %
% 2.69/1.23
% 2.69/1.23 % ------ Proving...
% 2.69/1.23 %
% 2.69/1.23
% 2.69/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 2.69/1.23
% 2.69/1.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.69/1.23
% 2.69/1.23
%------------------------------------------------------------------------------