%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN109-1 : 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 : n003.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 03:39:12 PM UTC 2026
% Result : Unsatisfiable 3.05s 1.20s
% Output : CNFRefutation 3.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 11 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 36 ~; 34 |; 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 : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_18) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f73,axiom,
! [X0,X1] :
( ~ l0(X1)
| ~ r0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_035) ).
fof(f133,axiom,
! [X0,X1] :
( ~ p0(X1,X0)
| q1(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_095) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_127) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f369,negated_conjecture,
~ k2(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ k2(b,c),
inference(cnf_transformation,[],[f369]) ).
tcf(c_429,plain,
p0(c,b),
inference(cnf_transformation,[],[f18]) ).
tcf(c_446,plain,
! [X0: $i,X1: $i] :
( k2(X1,X1)
| ~ q1(X0,X1,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( k2(X2,X1)
| ~ k1(X3)
| ~ k2(X3,X1)
| ~ m1(X0,X1,X2) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_499,plain,
! [X0: $i,X1: $i] :
( q1(X1,X0,X0)
| ~ p0(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_615,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_619,plain,
n0(d,c),
inference(cnf_transformation,[],[f26]) ).
tcf(c_649,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X0)
| ~ l0(X1)
| ~ r0(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_652,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_693,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_1124,plain,
( k1(c)
| ~ n0(d,c) ),
inference(instantiation,[status(thm)],[c_615]) ).
tcf(c_1148,plain,
! [X0: $i] :
( m1(X0,c,X0)
| ~ l0(c)
| ~ r0(X0) ),
inference(instantiation,[status(thm)],[c_649]) ).
tcf(c_1149,plain,
( m1(b,c,b)
| ~ l0(c)
| ~ r0(b) ),
inference(instantiation,[status(thm)],[c_1148]) ).
tcf(c_1227,plain,
! [X0: $i,X1: $i] :
( k2(b,c)
| ~ k1(X1)
| ~ k2(X1,c)
| ~ m1(X0,c,b) ),
inference(instantiation,[status(thm)],[c_448]) ).
tcf(c_1269,plain,
! [X0: $i] :
( k2(b,c)
| ~ k1(c)
| ~ k2(c,c)
| ~ m1(X0,c,b) ),
inference(instantiation,[status(thm)],[c_1227]) ).
tcf(c_1270,plain,
! [X0: $i] :
( k2(c,c)
| ~ q1(X0,c,c) ),
inference(instantiation,[status(thm)],[c_446]) ).
tcf(c_1271,plain,
( k2(b,c)
| ~ k1(c)
| ~ k2(c,c)
| ~ m1(b,c,b) ),
inference(instantiation,[status(thm)],[c_1269]) ).
tcf(c_1272,plain,
( k2(c,c)
| ~ q1(b,c,c) ),
inference(instantiation,[status(thm)],[c_1270]) ).
tcf(c_1300,plain,
! [X0: $i] :
( q1(X0,c,c)
| ~ p0(c,X0) ),
inference(instantiation,[status(thm)],[c_499]) ).
tcf(c_1301,plain,
( q1(b,c,c)
| ~ p0(c,b) ),
inference(instantiation,[status(thm)],[c_1300]) ).
tcf(c_1302,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1301,c_1272,c_1271,c_1149,c_1124,c_418,c_429,c_619,c_652,c_693]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN109-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 00:13:06 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38 Running EPR theorem proving
% 0.13/0.38 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 3.05/1.20 % SZS status Started for theBenchmark.p
% 3.05/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.05/1.20
% 3.05/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.05/1.20
% 3.05/1.20 % ------ iProver source info
% 3.05/1.20
% 3.05/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 3.05/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.05/1.20 % git: non_committed_changes: false
% 3.05/1.20
% 3.05/1.20 % ------ Parsing...% successful
% 3.05/1.20
% 3.05/1.20
% 3.05/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 3.05/1.20 %
% 3.05/1.20
% 3.05/1.20 % ------ Preprocessing... sf_s rm: 177 0s sf_e sf_s rm: 0 0s sf_e %
% 3.05/1.20
% 3.05/1.20 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 3.05/1.20 gs_s sp: 40 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.05/1.20 % ------ Proving...
% 3.05/1.20 % ------ Problem Properties
% 3.05/1.20
% 3.05/1.20 %
% 3.05/1.20 % clauses 172
% 3.05/1.20 % conjectures 1
% 3.05/1.20 % EPR 172
% 3.05/1.20 % Horn 152
% 3.05/1.20 % unary 50
% 3.05/1.20 % binary 62
% 3.05/1.20 % lits 376
% 3.05/1.20 % lits eq 0
% 3.05/1.20 % fd_pure 0
% 3.05/1.20 % fd_pseudo 0
% 3.05/1.20 % fd_cond 0
% 3.05/1.20 % fd_pseudo_cond 0
% 3.05/1.20 % AC symbols 0
% 3.05/1.20
% 3.05/1.20 % ------ Schedule EPR non Horn non eq is on
% 3.05/1.20
% 3.05/1.20 % ------ no equalities: superposition off
% 3.05/1.20
% 3.05/1.20 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.05/1.20
% 3.05/1.20
% 3.05/1.20 % ------
% 3.05/1.20 % Current options:
% 3.05/1.20 % ------
% 3.05/1.20
% 3.05/1.20
% 3.05/1.20 %
% 3.05/1.20
% 3.05/1.20 % ------ Proving...
% 3.05/1.20 %
% 3.05/1.20
% 3.05/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.05/1.20
% 3.05/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.05/1.20
% 3.05/1.20
%------------------------------------------------------------------------------