%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : COL101-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 06:57:42 AM UTC 2026
% Result : Unsatisfiable 9.91s 3.18s
% Output : CNFRefutation 9.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 6 ( 1 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_1009,plain,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,axiom,
! [VAR_0,VAR_1,VAR_2] : c_in(c_Pair(VAR_0,VAR_0,VAR_1,VAR_1),c_Transitive__Closure_Ortrancl(VAR_2,VAR_1),tc_prod(VAR_1,VAR_1)),
file('theBenchmark.p',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).
cnf(c_1494,plain,
c_in(c_Pair(A,A,B,B),c_Transitive__Closure_Ortrancl(C,B),tc_prod(B,B)),
inference(clausify,[status(thm)],[cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0]) ).
cnf(c_1495,plain,
$false,
inference(resolve,[status(thm)],[c_1494,c_1009]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL101-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.45 % Computer : n017.cluster.edu
% 0.09/0.45 % Model : x86_64 x86_64
% 0.09/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.45 % Memory : 8046.5625MB
% 0.09/0.45 % OS : Linux 6.8.0-71-generic
% 0.09/0.45 % CPULimit : 300
% 0.09/0.45 % WCLimit : 300
% 0.09/0.45 % DateTime : Sat Sep 26 23:10:34 UTC 2026
% 0.09/0.45 % CPUTime :
% 0.09/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.45 % Process 1900714 was started by sandbox on n017,
% 0.09/0.45 % Sat Sep 26 23:10:34 2026
% 0.09/0.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.49
% 0.16/0.49 % From the command line: assign(max_seconds, 300).
% 9.91/3.18
% 9.91/3.18 % SZS status Unsatisfiable for theBenchmark
% 9.91/3.18
% 9.91/3.18 % Proof 1 at 1.26 (+ 0.02) seconds.
% 9.91/3.18 % Length of proof is 3.
% 9.91/3.18 % Level of proof is 1.
% 9.91/3.18 % Maximum clause weight is 16.000.
% 9.91/3.18 % Given clauses 0.
% 9.91/3.18
% 9.91/3.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------