%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MSC006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 02:13:56 PM UTC 2026
% Result : Unsatisfiable 1.74s 1.22s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 5 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 84 ( 40 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( p(X0,X2)
| ~ p(X1,X2)
| ~ p(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_transitivity) ).
fof(f2,axiom,
! [X2,X0,X1] :
( q(X0,X2)
| ~ q(X1,X2)
| ~ q(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_transitivity) ).
fof(f3,axiom,
! [X0,X1] :
( q(X1,X0)
| ~ q(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_symmetry) ).
fof(f4,axiom,
! [X0,X1] :
( q(X0,X1)
| p(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_related) ).
fof(f5,axiom,
~ p(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_is_not_total) ).
fof(f6,negated_conjecture,
~ q(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_q_is_total) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( p(X0,X2)
| ~ p(X1,X2)
| ~ p(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( q(X0,X2)
| ~ q(X1,X2)
| ~ q(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( q(X1,X0)
| ~ q(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( q(X0,X1)
| p(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
~ p(a,b),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
~ q(c,d),
inference(cnf_transformation,[],[f6]) ).
tcf(c_86,plain,
( q(a,b)
| p(a,b) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_87,plain,
! [X0: $i] :
( p(a,b)
| ~ p(a,X0)
| ~ p(X0,b) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_88,plain,
( q(b,a)
| ~ q(a,b) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_90,plain,
! [X0: $i] :
( q(X0,b)
| p(X0,b) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_93,plain,
! [X0: $i] :
( q(X0,a)
| ~ q(b,a)
| ~ q(X0,b) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_95,plain,
( q(c,d)
| ~ q(d,c) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_96,plain,
! [X0: $i] :
( q(c,d)
| ~ q(c,X0)
| ~ q(X0,d) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_97,plain,
( q(c,d)
| ~ q(c,a)
| ~ q(a,d) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_100,plain,
! [X0: $i] :
( q(d,c)
| ~ q(d,X0)
| ~ q(X0,c) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_101,plain,
( q(d,c)
| ~ q(d,a)
| ~ q(a,c) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_104,plain,
! [X0: $i] :
( q(X0,d)
| ~ q(d,X0) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_105,plain,
( q(a,d)
| ~ q(d,a) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_110,plain,
! [X0: $i] :
( q(d,X0)
| ~ q(X0,d) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_111,plain,
( q(d,a)
| ~ q(a,d) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_113,plain,
( q(d,a)
| ~ q(d,b)
| ~ q(b,a) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_115,plain,
( q(d,b)
| p(d,b) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_127,plain,
( q(c,a)
| ~ q(c,b)
| ~ q(b,a) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_129,plain,
( q(c,b)
| p(c,b) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_165,plain,
( p(a,b)
| ~ p(d,b)
| ~ p(a,d) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_206,plain,
( q(a,d)
| p(a,d) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_243,plain,
( p(a,b)
| ~ p(c,b)
| ~ p(a,c) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_314,plain,
( q(a,c)
| p(a,c) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_349,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_314,c_243,c_206,c_165,c_129,c_127,c_115,c_113,c_111,c_105,c_101,c_97,c_95,c_88,c_86,c_59,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 01:31:14 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running EPR theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.74/1.22 % SZS status Started for theBenchmark.p
% 1.74/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 1.74/1.22
% 1.74/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.74/1.22
% 1.74/1.22 % ------ iProver source info
% 1.74/1.22
% 1.74/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 1.74/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.74/1.22 % git: non_committed_changes: false
% 1.74/1.22
% 1.74/1.22 % ------ Parsing...% successful
% 1.74/1.22
% 1.74/1.22
% 1.74/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.74/1.22 %
% 1.74/1.22
% 1.74/1.22 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.74/1.22
% 1.74/1.22 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.74/1.22 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.74/1.22 % ------ Proving...
% 1.74/1.22 % ------ Problem Properties
% 1.74/1.22
% 1.74/1.22 %
% 1.74/1.22 % clauses 6
% 1.74/1.22 % conjectures 1
% 1.74/1.22 % EPR 6
% 1.74/1.22 % Horn 5
% 1.74/1.22 % unary 2
% 1.74/1.22 % binary 2
% 1.74/1.22 % lits 12
% 1.74/1.22 % lits eq 0
% 1.74/1.22 % fd_pure 0
% 1.74/1.22 % fd_pseudo 0
% 1.74/1.22 % fd_cond 0
% 1.74/1.22 % fd_pseudo_cond 0
% 1.74/1.22 % AC symbols 0
% 1.74/1.22
% 1.74/1.22 % ------ Schedule EPR non Horn non eq is on
% 1.74/1.22
% 1.74/1.22 % ------ no equalities: superposition off
% 1.74/1.22
% 1.74/1.22 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.74/1.22
% 1.74/1.22
% 1.74/1.22 % ------
% 1.74/1.22 % Current options:
% 1.74/1.22 % ------
% 1.74/1.22
% 1.74/1.22
% 1.74/1.22 %
% 1.74/1.22
% 1.74/1.22 % ------ Proving...
% 1.74/1.22 %
% 1.74/1.22
% 1.74/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 1.74/1.22
% 1.74/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.74/1.22
% 1.74/1.22
%------------------------------------------------------------------------------