%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : COL111-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 06:57:44 AM UTC 2026
% Result : Unsatisfiable 18.46s 2.87s
% Output : CNFRefutation 18.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_Comb_Oparcontract_Ointros__1_0,axiom,
! [VAR_0] : c_in(c_Pair(VAR_0,VAR_0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('theBenchmark.p',cls_Comb_Oparcontract_Ointros__1_0) ).
cnf(c_1587,plain,
c_in(c_Pair(A,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(clausify,[status(thm)],[cls_Comb_Oparcontract_Ointros__1_0]) ).
fof(cls_conjecture_0,axiom,
c_in(c_Pair(v_x,v_y_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_2122,plain,
c_in(c_Pair(v_x,v_y_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_conjecture_1,axiom,
! [VAR_0] :
( ~ c_in(c_Pair(v_x,VAR_0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_y_H,VAR_0,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_2123,plain,
( ~ c_in(c_Pair(v_x,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(v_y_H,A,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
cnf(c_3843,plain,
~ c_in(c_Pair(v_x,v_y_H,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(resolve,[status(thm)],[c_2123,c_1587]) ).
cnf(c_3842,plain,
$false,
inference(resolve,[status(thm)],[c_2122,c_3843]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL111-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n001.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 : Sat Sep 26 23:21:43 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.37 % Process 2918114 was started by sandbox2 on n001,
% 0.15/0.37 % Sat Sep 26 23:21:43 2026
% 0.15/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/0.41
% 0.15/0.41 % From the command line: assign(max_seconds, 300).
% 18.46/2.87
% 18.46/2.87 % given #500 (I,wt=70): 1570 -c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(A,B),C,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | c_in(c_Pair(A,v_sko__uTI(A,B,C),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) | c_Comb_Ocomb_Oop_A_D_D(A,B) = C | c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,C) = A | c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_sko__uTF(A,B,C),B),c_Comb_Ocomb_Oop_A_D_D(v_sko__uTG(A,B,C),B)) = C. [copy(1569),flip(c),flip(d),flip(e)].
% 18.46/2.87
% 18.46/2.87 % SZS status Unsatisfiable for theBenchmark
% 18.46/2.87
% 18.46/2.87 % Proof 1 at 2.35 (+ 0.06) seconds.
% 18.46/2.87 % Length of proof is 4.
% 18.46/2.87 % Level of proof is 1.
% 18.46/2.87 % Maximum clause weight is 30.000.
% 18.46/2.87 % Given clauses 961.
% 18.46/2.87
% 18.46/2.87 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------