%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN182-1 : 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 : n007.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 03:39:23 PM UTC 2026
% Result : Unsatisfiable 3.08s 1.26s
% Output : CNFRefutation 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 32 ~; 28 |; 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 : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_27) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f284,axiom,
! [X0] :
( ~ l2(X0,X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_246) ).
fof(f315,axiom,
! [X2,X0,X1] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_277) ).
fof(f362,axiom,
! [X0] :
( ~ l4(X0)
| q5(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_324) ).
fof(f369,negated_conjecture,
! [X0] : ~ q5(X0,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i] : ~ q5(X0,c),
inference(cnf_transformation,[],[f369]) ).
tcf(c_427,plain,
m0(e,b,c),
inference(cnf_transformation,[],[f27]) ).
tcf(c_433,plain,
! [X0: $i] :
( q5(X0,X0)
| ~ l4(X0) ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_524,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_534,plain,
! [X0: $i,X1: $i,X2: $i] :
( l4(X2)
| ~ p3(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_639,plain,
! [X0: $i] :
( p3(X0,X0,X0)
| ~ l2(X0,X0) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l2(X2,X2)
| ~ s1(X1)
| ~ p0(X3,X3)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_768,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_770,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_524]) ).
tcf(c_774,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_768]) ).
tcf(c_1137,plain,
! [X0: $i] :
( ~ iPr_def_59
| ~ p0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_59])],[c_646]) ).
tcf(c_1138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_60
| ~ s1(X1)
| l2(X2,X2)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_60])],[c_646]) ).
tcf(c_1139,plain,
( iPr_def_60
| iPr_def_59 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_646]) ).
tcf(c_1200,plain,
( ~ iPr_def_59
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_1137]) ).
tcf(c_1249,plain,
( q5(c,c)
| ~ l4(c) ),
inference(instantiation,[status(thm)],[c_433]) ).
tcf(c_1250,plain,
~ q5(c,c),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_1489,plain,
( l2(c,c)
| ~ iPr_def_60
| ~ s1(b)
| ~ m0(e,b,c) ),
inference(instantiation,[status(thm)],[c_1138]) ).
tcf(c_1635,plain,
! [X0: $i,X1: $i] :
( l4(c)
| ~ p3(X0,X1,c) ),
inference(instantiation,[status(thm)],[c_534]) ).
tcf(c_1999,plain,
( l4(c)
| ~ p3(c,c,c) ),
inference(instantiation,[status(thm)],[c_1635]) ).
tcf(c_2000,plain,
( p3(c,c,c)
| ~ l2(c,c) ),
inference(instantiation,[status(thm)],[c_639]) ).
tcf(c_2004,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2000,c_1999,c_1489,c_1250,c_1249,c_1200,c_1139,c_774,c_427,c_770]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN182-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 00:22:53 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.43 Running EPR theorem proving
% 0.10/0.43 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
% 0.10/0.44
% 0.10/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.44
% 0.10/0.44 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 3.08/1.26 % SZS status Started for theBenchmark.p
% 3.08/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 3.08/1.26
% 3.08/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.08/1.26
% 3.08/1.26 % ------ iProver source info
% 3.08/1.26
% 3.08/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 3.08/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.08/1.26 % git: non_committed_changes: false
% 3.08/1.26
% 3.08/1.26 % ------ Parsing...% successful
% 3.08/1.26
% 3.08/1.26
% 3.08/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 3.08/1.26 %
% 3.08/1.26
% 3.08/1.26 % ------ Preprocessing... sf_s rm: 67 0s sf_e sf_s rm: 0 0s sf_e %
% 3.08/1.26
% 3.08/1.26 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 3.08/1.26 gs_s sp: 90 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.08/1.26 % ------ Proving...
% 3.08/1.26 % ------ Problem Properties
% 3.08/1.26
% 3.08/1.26 %
% 3.08/1.26 % clauses 343
% 3.08/1.26 % conjectures 1
% 3.08/1.26 % EPR 343
% 3.08/1.26 % Horn 299
% 3.08/1.26 % unary 52
% 3.08/1.26 % binary 141
% 3.08/1.26 % lits 837
% 3.08/1.26 % lits eq 0
% 3.08/1.26 % fd_pure 0
% 3.08/1.26 % fd_pseudo 0
% 3.08/1.26 % fd_cond 0
% 3.08/1.26 % fd_pseudo_cond 0
% 3.08/1.26 % AC symbols 0
% 3.08/1.26
% 3.08/1.26 % ------ Schedule EPR non Horn non eq is on
% 3.08/1.26
% 3.08/1.26 % ------ no equalities: superposition off
% 3.08/1.26
% 3.08/1.26 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.08/1.26
% 3.08/1.26
% 3.08/1.26 % ------
% 3.08/1.26 % Current options:
% 3.08/1.26 % ------
% 3.08/1.26
% 3.08/1.26
% 3.08/1.26 %
% 3.08/1.26
% 3.08/1.26 % ------ Proving...
% 3.08/1.26 %
% 3.08/1.26
% 3.08/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 3.08/1.26
% 3.08/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.08/1.26
% 3.08/1.26
%------------------------------------------------------------------------------