%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV781-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 : Sun Sep 27 09:09:06 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.59s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 8 ( 2 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_105,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_takeWhile_Osimps_I1_J_0,axiom,
! [VAR_0,VAR_1] : c_List_OtakeWhile(VAR_0,c_List_Olist_ONil(VAR_1),VAR_1) = c_List_Olist_ONil(VAR_1),
file('theBenchmark.p',cls_takeWhile_Osimps_I1_J_0) ).
cnf(c_109,plain,
c_List_OtakeWhile(A,c_List_Olist_ONil(B),B) = c_List_Olist_ONil(B),
inference(clausify,[status(thm)],[cls_takeWhile_Osimps_I1_J_0]) ).
fof(cls_equalityE_0,axiom,
! [VAR_0,VAR_1] : c_lessequals(VAR_0,VAR_0,tc_fun(VAR_1,tc_bool)),
file('theBenchmark.p',cls_equalityE_0) ).
cnf(c_112,plain,
c_lessequals(A,A,tc_fun(B,tc_bool)),
inference(clausify,[status(thm)],[cls_equalityE_0]) ).
cnf(c_691,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(paramod,[status(thm)],[c_109,c_105]) ).
cnf(c_690,plain,
$false,
inference(resolve,[status(thm)],[c_112,c_691]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV781-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.46 % Computer : n018.cluster.edu
% 0.22/0.46 % Model : x86_64 x86_64
% 0.22/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.46 % Memory : 8046.5625MB
% 0.22/0.46 % OS : Linux 6.8.0-71-generic
% 0.22/0.46 % CPULimit : 300
% 0.22/0.46 % WCLimit : 300
% 0.22/0.46 % DateTime : Sat Sep 26 14:59:22 UTC 2026
% 0.22/0.47 % CPUTime :
% 0.22/0.47 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.22/0.47 % Process 709623 was started by sandbox on n018,
% 0.22/0.47 % Sat Sep 26 14:59:22 2026
% 0.22/0.47 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.24/0.50
% 0.24/0.50 % From the command line: assign(max_seconds, 300).
% 0.24/0.59
% 0.24/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.59
% 0.24/0.59 % Proof 1 at 0.07 (+ 0.01) seconds.
% 0.24/0.59 % Length of proof is 4.
% 0.24/0.59 % Level of proof is 1.
% 0.24/0.59 % Maximum clause weight is 35.000.
% 0.24/0.59 % Given clauses 0.
% 0.24/0.59
% 0.24/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------