%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN298-1 : 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 : n006.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 03:39:38 PM UTC 2026
% Result : Unsatisfiable 2.82s 6.25s
% Output : CNFRefutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 30 ~; 27 |; 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 : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
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(f311,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X2,X3,X1)
| ~ s2(X0)
| ~ q2(X2,X0,X2)
| s3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_273) ).
fof(f369,negated_conjecture,
! [X0] : ~ s3(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i] : ~ s3(b,X0),
inference(cnf_transformation,[],[f369]) ).
tcf(c_420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s3(X3,X2)
| ~ s2(X3)
| ~ q2(X0,X3,X0)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_473,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_483,plain,
! [X0: $i] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_501,plain,
! [X0: $i] :
( s2(X0)
| ~ s1(b)
| ~ q2(b,X0,b) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_572,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_688,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_698,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_767,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_572]) ).
tcf(c_768,plain,
~ s3(b,b),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_769,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[c_473]) ).
tcf(c_772,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_781,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_688]) ).
tcf(c_820,plain,
( q2(b,b,b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_483]) ).
tcf(c_834,plain,
( s2(b)
| ~ s1(b)
| ~ q2(b,b,b) ),
inference(instantiation,[status(thm)],[c_501]) ).
tcf(c_1167,plain,
! [X0: $i,X1: $i,X2: $i] :
( s3(X1,X2)
| ~ s2(X1)
| ~ m0(X0,d,X2)
| ~ q2(X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_420]) ).
tcf(c_1168,plain,
( s3(b,b)
| ~ s2(b)
| ~ q2(b,b,b)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1167]) ).
tcf(c_1169,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1168,c_834,c_820,c_781,c_772,c_769,c_768,c_767,c_691]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN298-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n006.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Fri Sep 25 00:46:04 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.42 Running EPR theorem proving
% 0.15/5.42 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 2.82/6.25 % SZS status Started for theBenchmark.p
% 2.82/6.25 % SZS status Unsatisfiable for theBenchmark.p
% 2.82/6.25
% 2.82/6.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.82/6.25
% 2.82/6.25 % ------ iProver source info
% 2.82/6.25
% 2.82/6.25 % git: date: 2026-07-19 20:42:38 +0200
% 2.82/6.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.82/6.25 % git: non_committed_changes: false
% 2.82/6.25
% 2.82/6.25 % ------ Parsing...% successful
% 2.82/6.25
% 2.82/6.25
% 2.82/6.25 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.82/6.25 %
% 2.82/6.25
% 2.82/6.25 % ------ Preprocessing... sf_s rm: 173 0s sf_e sf_s rm: 0 0s sf_e %
% 2.82/6.25
% 2.82/6.25 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.82/6.25 gs_s sp: 46 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.82/6.25 % ------ Proving...
% 2.82/6.25 % ------ Problem Properties
% 2.82/6.25
% 2.82/6.25 %
% 2.82/6.25 % clauses 194
% 2.82/6.25 % conjectures 1
% 2.82/6.25 % EPR 194
% 2.82/6.25 % Horn 171
% 2.82/6.25 % unary 50
% 2.82/6.25 % binary 70
% 2.82/6.25 % lits 440
% 2.82/6.25 % lits eq 0
% 2.82/6.25 % fd_pure 0
% 2.82/6.25 % fd_pseudo 0
% 2.82/6.25 % fd_cond 0
% 2.82/6.25 % fd_pseudo_cond 0
% 2.82/6.25 % AC symbols 0
% 2.82/6.25
% 2.82/6.25 % ------ Schedule EPR non Horn non eq is on
% 2.82/6.25
% 2.82/6.25 % ------ no equalities: superposition off
% 2.82/6.25
% 2.82/6.25 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.82/6.25
% 2.82/6.25
% 2.82/6.25 % ------
% 2.82/6.25 % Current options:
% 2.82/6.25 % ------
% 2.82/6.25
% 2.82/6.25
% 2.82/6.25 %
% 2.82/6.25
% 2.82/6.25 % ------ Proving...
% 2.82/6.25 %
% 2.82/6.25
% 2.82/6.25 % SZS status Unsatisfiable for theBenchmark.p
% 2.82/6.25
% 2.82/6.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.82/6.25
% 2.82/6.25
%------------------------------------------------------------------------------