%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN273-1 : 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 : n008.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 03:39:35 PM UTC 2026
% Result : Unsatisfiable 1.39s 1.12s
% Output : CNFRefutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 76 ( 39 ~; 37 |; 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; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f59,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_021) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).
fof(f168,axiom,
( ~ l1(e,e)
| k2(e,e) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_130) ).
fof(f232,axiom,
! [X0,X1] :
( ~ k2(X1,X0)
| k3(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_194) ).
fof(f325,axiom,
! [X0,X1] :
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_287) ).
fof(f369,negated_conjecture,
~ p4(e,c,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_420,plain,
n0(d,e),
inference(cnf_transformation,[],[f3]) ).
tcf(c_441,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_445,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i] :
( l1(X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X0)
| ~ k0(X1)
| ~ l0(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_580,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_583,plain,
( k2(e,e)
| ~ l1(e,e) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_646,plain,
! [X0: $i,X1: $i] :
( k3(X1,X1,X0)
| ~ k2(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_735,plain,
! [X0: $i,X1: $i] :
( p4(X0,X1,X0)
| ~ k3(X0,X0,X1) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_768,negated_conjecture,
~ p4(e,c,e),
inference(cnf_transformation,[],[f369]) ).
tcf(c_1277,plain,
( p4(e,c,e)
| ~ k3(e,e,c) ),
inference(instantiation,[status(thm)],[c_735]) ).
tcf(c_1288,plain,
( k1(e)
| ~ n0(d,e) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1301,plain,
( l1(e,e)
| ~ n0(d,e) ),
inference(instantiation,[status(thm)],[c_457]) ).
tcf(c_1397,plain,
! [X0: $i] :
( m1(c,X0,c)
| ~ l0(c)
| ~ k0(X0) ),
inference(instantiation,[status(thm)],[c_476]) ).
tcf(c_1730,plain,
( k3(e,e,c)
| ~ k2(c,e) ),
inference(instantiation,[status(thm)],[c_646]) ).
tcf(c_1855,plain,
( m1(c,e,c)
| ~ k0(e)
| ~ l0(c) ),
inference(instantiation,[status(thm)],[c_1397]) ).
tcf(c_2071,plain,
! [X0: $i,X1: $i] :
( k2(c,e)
| ~ k1(X1)
| ~ k2(X1,e)
| ~ m1(X0,e,c) ),
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_2461,plain,
! [X0: $i] :
( k2(c,e)
| ~ k1(e)
| ~ k2(e,e)
| ~ m1(X0,e,c) ),
inference(instantiation,[status(thm)],[c_2071]) ).
tcf(c_2895,plain,
( k2(c,e)
| ~ k1(e)
| ~ k2(e,e)
| ~ m1(c,e,c) ),
inference(instantiation,[status(thm)],[c_2461]) ).
tcf(c_2897,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2895,c_1855,c_1730,c_1301,c_1288,c_1277,c_583,c_768,c_420,c_441,c_445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN273-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n008.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 00:42:09 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running EPR theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 1.39/1.12 % SZS status Started for theBenchmark.p
% 1.39/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 1.39/1.12
% 1.39/1.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.39/1.12
% 1.39/1.12 % ------ iProver source info
% 1.39/1.12
% 1.39/1.12 % git: date: 2026-07-19 20:42:38 +0200
% 1.39/1.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.39/1.12 % git: non_committed_changes: false
% 1.39/1.12
% 1.39/1.12 % ------ Parsing...% successful
% 1.39/1.12
% 1.39/1.12
% 1.39/1.12 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.39/1.12 %
% 1.39/1.12
% 1.39/1.12 % ------ Preprocessing... sf_s rm: 40 0s sf_e sf_s rm: 0 0s sf_e %
% 1.39/1.12
% 1.39/1.12 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.39/1.12 gs_s sp: 102 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.39/1.12 % ------ Proving...
% 1.39/1.12 % ------ Problem Properties
% 1.39/1.12
% 1.39/1.12 %
% 1.39/1.12 % clauses 380
% 1.39/1.12 % conjectures 1
% 1.39/1.12 % EPR 380
% 1.39/1.12 % Horn 330
% 1.39/1.12 % unary 51
% 1.39/1.12 % binary 154
% 1.39/1.12 % lits 948
% 1.39/1.12 % lits eq 0
% 1.39/1.12 % fd_pure 0
% 1.39/1.12 % fd_pseudo 0
% 1.39/1.12 % fd_cond 0
% 1.39/1.12 % fd_pseudo_cond 0
% 1.39/1.12 % AC symbols 0
% 1.39/1.12
% 1.39/1.12 % ------ Schedule EPR non Horn non eq is on
% 1.39/1.12
% 1.39/1.12 % ------ no equalities: superposition off
% 1.39/1.12
% 1.39/1.12 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.39/1.12
% 1.39/1.12
% 1.39/1.12 % ------
% 1.39/1.12 % Current options:
% 1.39/1.12 % ------
% 1.39/1.12
% 1.39/1.12
% 1.39/1.12 %
% 1.39/1.12
% 1.39/1.12 % ------ Proving...
% 1.39/1.12 %
% 1.39/1.12
% 1.39/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 1.39/1.12
% 1.39/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.39/1.12
% 1.39/1.12
%------------------------------------------------------------------------------