%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV772-1 : 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 : 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 : Sun Sep 27 09:09:05 AM UTC 2026
% Result : Unsatisfiable 0.32s 15.92s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 14 ( 2 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_92,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(c_List_Olist_ONil(tc_Event_Oevent),c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_eq__Nil__appendI_0,axiom,
! [VAR_0,VAR_1] : VAR_0 = c_List_Oappend(c_List_Olist_ONil(VAR_1),VAR_0,VAR_1),
file('theBenchmark.p',cls_eq__Nil__appendI_0) ).
cnf(c_112,plain,
A = c_List_Oappend(c_List_Olist_ONil(B),A,B),
inference(clausify,[status(thm)],[cls_eq__Nil__appendI_0]) ).
cnf(c_113,plain,
c_List_Oappend(c_List_Olist_ONil(A),B,A) = B,
inference(copy,[status(thm)],[c_112]) ).
fof(cls_knows__Spy__Says_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(VAR_0,VAR_1,VAR_2),VAR_3,tc_Event_Oevent)) = c_Set_Oinsert(VAR_2,c_Event_Oknows(c_Message_Oagent_OSpy,VAR_3),tc_Message_Omsg),
file('theBenchmark.p',cls_knows__Spy__Says_0) ).
cnf(c_137,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(A,B,C),D,tc_Event_Oevent)) = c_Set_Oinsert(C,c_Event_Oknows(c_Message_Oagent_OSpy,D),tc_Message_Omsg),
inference(clausify,[status(thm)],[cls_knows__Spy__Says_0]) ).
cnf(c_517,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(v_A,v_B,v_X),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_113,c_92]) ).
cnf(c_518,plain,
c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) != c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(paramod,[status(thm)],[c_137,c_517]) ).
cnf(c_516,plain,
$false,
inference(copy,[status(thm)],[c_518]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV772-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.84 % CPULimit : 300
% 0.09/15.84 % WCLimit : 300
% 0.09/15.84 % DateTime : Sat Sep 26 14:57:27 UTC 2026
% 0.09/15.85 % CPUTime :
% 0.09/15.85 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/15.85 % Process 3901721 was started by sandbox on n008,
% 0.09/15.85 % Sat Sep 26 14:57:27 2026
% 0.09/15.85 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/15.86
% 0.09/15.86 % From the command line: assign(max_seconds, 300).
% 0.32/15.92
% 0.32/15.92 % SZS status Unsatisfiable for theBenchmark
% 0.32/15.92
% 0.32/15.92 % Proof 1 at 0.05 (+ 0.01) seconds.
% 0.32/15.92 % Length of proof is 5.
% 0.32/15.92 % Level of proof is 2.
% 0.32/15.92 % Maximum clause weight is 22.000.
% 0.32/15.92 % Given clauses 0.
% 0.32/15.92
% 0.32/15.92 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------