%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SCT088-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 08:28:29 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.89s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 17 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 7 ( 2 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
~ v_thesis____,
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_414,plain,
~ v_thesis____,
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_CHAINED_0_02,axiom,
v_c____ != v_d____,
file('theBenchmark.p',cls_CHAINED_0_02) ).
cnf(c_415,plain,
v_c____ != v_d____,
inference(clausify,[status(thm)],[cls_CHAINED_0_02]) ).
cnf(c_416,plain,
v_d____ != v_c____,
inference(copy,[status(thm)],[c_415]) ).
fof(cls_CHAINED_0,axiom,
! [VAR_0,VAR_1] :
( VAR_0 = VAR_1
| c_List_Odistinct(c_List_Olist_OCons(VAR_0,c_List_Olist_OCons(VAR_1,c_List_Olist_OCons(v_sko__CHAINED__1(VAR_0,VAR_1),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
file('theBenchmark.p',cls_CHAINED_0) ).
cnf(c_417,plain,
( A = B
| c_List_Odistinct(c_List_Olist_OCons(A,c_List_Olist_OCons(B,c_List_Olist_OCons(v_sko__CHAINED__1(A,B),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(clausify,[status(thm)],[cls_CHAINED_0]) ).
fof(cls_that_0,axiom,
! [VAR_0] :
( ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(VAR_0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| v_thesis____ ),
file('theBenchmark.p',cls_that_0) ).
cnf(c_424,plain,
( ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(A,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| v_thesis____ ),
inference(clausify,[status(thm)],[cls_that_0]) ).
cnf(c_425,plain,
~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(A,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference(resolve,[status(thm)],[c_414,c_424]) ).
cnf(c_1359,plain,
v_c____ = v_d____,
inference(resolve,[status(thm)],[c_425,c_417]) ).
cnf(c_1360,plain,
v_d____ = v_c____,
inference(copy,[status(thm)],[c_1359]) ).
cnf(c_1358,plain,
$false,
inference(resolve,[status(thm)],[c_416,c_1360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT088-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.56 % Computer : n020.cluster.edu
% 0.11/0.56 % Model : x86_64 x86_64
% 0.11/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.56 % Memory : 8046.5625MB
% 0.11/0.56 % OS : Linux 6.8.0-71-generic
% 0.11/0.56 % CPULimit : 300
% 0.11/0.56 % WCLimit : 300
% 0.11/0.56 % DateTime : Sat Sep 26 06:27:34 UTC 2026
% 0.11/0.56 % CPUTime :
% 0.11/0.56 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.56 % Process 851443 was started by sandbox2 on n020,
% 0.11/0.56 % Sat Sep 26 06:27:34 2026
% 0.11/0.56 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.11/0.59
% 0.11/0.59 % From the command line: assign(max_seconds, 300).
% 0.15/0.89
% 0.15/0.89 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.89
% 0.15/0.89 % Proof 1 at 0.28 (+ 0.02) seconds.
% 0.15/0.89 % Length of proof is 7.
% 0.15/0.89 % Level of proof is 2.
% 0.15/0.89 % Maximum clause weight is 18.000.
% 0.15/0.89 % Given clauses 119.
% 0.15/0.89
% 0.15/0.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------