%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LAT262-1 : 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 : n004.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 07:49:55 AM UTC 2026
% Result : Unsatisfiable 23.41s 13.48s
% Output : CNFRefutation 23.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
cnf(c_2248,plain,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
inference(clausify,[status(thm)],[cls_Tarski_OA_A_61_61_Apset_Acl_0]) ).
cnf(c_2249,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(copy,[status(thm)],[c_2248]) ).
fof(cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,axiom,
! [VAR_0,VAR_1] : c_Tarski_Opotype_Opset(c_Tarski_Odual(VAR_0,VAR_1),VAR_1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(VAR_0,VAR_1,tc_Product__Type_Ounit),
file('theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
cnf(c_2258,plain,
c_Tarski_Opotype_Opset(c_Tarski_Odual(A,B),B,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(A,B,tc_Product__Type_Ounit),
inference(clausify,[status(thm)],[cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0]) ).
fof(cls_conjecture_0,axiom,
c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_2259,plain,
c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
cnf(c_2260,plain,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference(paramod,[status(thm)],[c_2249,c_2259]) ).
fof(cls_conjecture_1,axiom,
~ c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_2261,plain,
~ c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
cnf(c_2263,plain,
~ c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),
inference(paramod,[status(thm)],[c_2258,c_2261]) ).
cnf(c_2264,plain,
~ c_lessequals(v_S,v_A,tc_set(t_a)),
inference(paramod,[status(thm)],[c_2249,c_2263]) ).
cnf(c_2262,plain,
$false,
inference(resolve,[status(thm)],[c_2260,c_2264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT262-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.38 % Computer : n004.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Fri Sep 25 20:21:35 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/10.38 % Process 4011818 was started by sandbox on n004,
% 0.10/10.38 % Fri Sep 25 20:21:35 2026
% 0.10/10.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/10.46
% 0.14/10.46 % From the command line: assign(max_seconds, 300).
% 23.41/13.48
% 23.41/13.48 % SZS status Unsatisfiable for theBenchmark
% 23.41/13.48
% 23.41/13.48 % Proof 1 at 2.97 (+ 0.03) seconds.
% 23.41/13.48 % Length of proof is 7.
% 23.41/13.48 % Level of proof is 3.
% 23.41/13.48 % Maximum clause weight is 26.000.
% 23.41/13.48 % Given clauses 0.
% 23.41/13.48
% 23.41/13.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------