%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN210-1 : 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 03:39:26 PM UTC 2026
% Result : Unsatisfiable 0.66s 1.13s
% Output : CNFRefutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 41 ( 13 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 96 ( 49 ~; 47 |; 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 : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
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(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f59,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).
fof(f135,axiom,
! [X0] :
( ~ s0(X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_097) ).
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(f291,axiom,
( ~ k2(c,b)
| p3(b,c,b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_253) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( ~ l1(X0,X2)
| ~ p3(X1,X2,X3)
| s4(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_299) ).
fof(f369,negated_conjecture,
~ s4(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ s4(c),
inference(cnf_transformation,[],[f369]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s4(X3)
| ~ l1(X3,X1)
| ~ p3(X0,X1,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_481,plain,
! [X0: $i] :
( q1(X0,X0,X0)
| ~ s0(X0) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_531,plain,
! [X0: $i,X1: $i] :
( l1(X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_535,plain,
( p3(b,c,b)
| ~ k2(c,b) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_558,plain,
s0(b),
inference(cnf_transformation,[],[f5]) ).
tcf(c_592,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_602,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X0)
| ~ k0(X1)
| ~ l0(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_606,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_616,plain,
n0(d,c),
inference(cnf_transformation,[],[f26]) ).
tcf(c_619,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_668,plain,
! [X0: $i,X1: $i] :
( k2(X1,X1)
| ~ q1(X0,X1,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_670,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_709,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_772,plain,
( q1(b,b,b)
| ~ s0(b) ),
inference(instantiation,[status(thm)],[c_481]) ).
tcf(c_776,plain,
( k2(b,b)
| ~ q1(b,b,b) ),
inference(instantiation,[status(thm)],[c_668]) ).
tcf(c_1220,plain,
( k1(b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_592]) ).
tcf(c_1257,plain,
( l1(c,c)
| ~ n0(d,c) ),
inference(instantiation,[status(thm)],[c_531]) ).
tcf(c_1349,plain,
! [X0: $i] :
( m1(c,X0,c)
| ~ l0(c)
| ~ k0(X0) ),
inference(instantiation,[status(thm)],[c_602]) ).
tcf(c_1350,plain,
( m1(c,b,c)
| ~ k0(b)
| ~ l0(c) ),
inference(instantiation,[status(thm)],[c_1349]) ).
tcf(c_1645,plain,
! [X0: $i,X1: $i,X2: $i] :
( s4(c)
| ~ l1(c,X1)
| ~ p3(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_1914,plain,
! [X0: $i,X1: $i,X2: $i] :
( k2(c,X1)
| ~ k1(X2)
| ~ k2(X2,X1)
| ~ m1(X0,X1,c) ),
inference(instantiation,[status(thm)],[c_670]) ).
tcf(c_1940,plain,
! [X0: $i,X1: $i] :
( s4(c)
| ~ l1(c,c)
| ~ p3(X0,c,X1) ),
inference(instantiation,[status(thm)],[c_1645]) ).
tcf(c_1942,plain,
( s4(c)
| ~ l1(c,c)
| ~ p3(b,c,b) ),
inference(instantiation,[status(thm)],[c_1940]) ).
tcf(c_2016,plain,
! [X0: $i,X1: $i] :
( k2(c,X0)
| ~ k1(X1)
| ~ k2(X1,X0)
| ~ m1(c,X0,c) ),
inference(instantiation,[status(thm)],[c_1914]) ).
tcf(c_2018,plain,
( k2(c,b)
| ~ k1(b)
| ~ k2(b,b)
| ~ m1(c,b,c) ),
inference(instantiation,[status(thm)],[c_2016]) ).
tcf(c_2019,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2018,c_1942,c_1350,c_1257,c_1220,c_535,c_776,c_772,c_616,c_619,c_418,c_558,c_606,c_709]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN210-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 00:32:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running EPR theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 0.66/1.13 % SZS status Started for theBenchmark.p
% 0.66/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 0.66/1.13
% 0.66/1.13 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.66/1.13
% 0.66/1.13 % ------ iProver source info
% 0.66/1.13
% 0.66/1.13 % git: date: 2026-07-19 20:42:38 +0200
% 0.66/1.13 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.66/1.13 % git: non_committed_changes: false
% 0.66/1.13
% 0.66/1.13 % ------ Parsing...% successful
% 0.66/1.13
% 0.66/1.13
% 0.66/1.13 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.66/1.13 %
% 0.66/1.13
% 0.66/1.13 % ------ Preprocessing... sf_s rm: 57 0s sf_e sf_s rm: 0 0s sf_e %
% 0.66/1.13
% 0.66/1.13 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 0.66/1.13 gs_s sp: 88 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.66/1.13 % ------ Proving...
% 0.66/1.13 % ------ Problem Properties
% 0.66/1.13
% 0.66/1.13 %
% 0.66/1.13 % clauses 333
% 0.66/1.13 % conjectures 1
% 0.66/1.13 % EPR 333
% 0.66/1.13 % Horn 290
% 0.66/1.13 % unary 51
% 0.66/1.13 % binary 137
% 0.66/1.13 % lits 812
% 2.61/1.13 % lits eq 0
% 2.61/1.13 % fd_pure 0
% 2.61/1.13 % fd_pseudo 0
% 2.61/1.13 % fd_cond 0
% 2.61/1.13 % fd_pseudo_cond 0
% 2.61/1.13 % AC symbols 0
% 2.61/1.13
% 2.61/1.13 % ------ Schedule EPR non Horn non eq is on
% 2.61/1.13
% 2.61/1.13 % ------ no equalities: superposition off
% 2.61/1.13
% 2.61/1.13 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.61/1.13
% 2.61/1.13
% 2.61/1.13 % ------
% 2.61/1.13 % Current options:
% 2.61/1.13 % ------
% 2.61/1.13
% 2.61/1.13
% 2.61/1.13 %
% 2.61/1.13
% 2.61/1.13 % ------ Proving...
% 2.61/1.13 %
% 2.61/1.13
% 2.61/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 2.61/1.13
% 2.61/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.61/1.13
% 2.61/1.13
%------------------------------------------------------------------------------