%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LAT265-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n009.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 : Fri Sep 25 01:56:30 PM UTC 2026
% Result : Unsatisfiable 3.54s 0.90s
% Output : Proof 3.54s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
sFlat0 = c_Tarski_Odual(v_cl,t_a),
introduced(definition) ).
cnf(t4,plain,
c_Tarski_Odual(v_cl,t_a) = sFlat0,
inference(orient,[status(thm)],[t1]) ).
cnf(t2,axiom,
sFlat1 = tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit),
introduced(definition) ).
cnf(t5,plain,
tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit) = sFlat1,
inference(orient,[status(thm)],[t2]) ).
cnf(t3,axiom,
sFlat2 = c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
introduced(definition) ).
cnf(t8,plain,
sFlat2 = c_in(sFlat0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(step,[status(thm)],[t3,t4]) ).
cnf(t9,plain,
sFlat2 = c_in(sFlat0,c_Tarski_OCompleteLattice,sFlat1),
inference(step,[status(thm)],[t8,t5]) ).
cnf(t6,plain,
c_in(sFlat0,c_Tarski_OCompleteLattice,sFlat1) = sFlat2,
inference(orient,[status(thm)],[t9]) ).
cnf(f1,axiom,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).
fof(f1_nnf,plain,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(t0,plain,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t10,plain,
c_in(sFlat0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) = true,
inference(step,[status(thm)],[t0,t4]) ).
cnf(t11,plain,
c_in(sFlat0,c_Tarski_OCompleteLattice,sFlat1) = true,
inference(step,[status(thm)],[t10,t5]) ).
cnf(t12,plain,
sFlat2 = true,
inference(step,[status(thm)],[t11,t6]) ).
cnf(t7,plain,
true = sFlat2,
inference(orient,[status(thm)],[t12]) ).
cnf(f0,negated_conjecture,
~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f0_nnf,plain,
~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(goal_0,negated_conjecture,
c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) != true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(g0_0,plain,
c_in(sFlat0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) != true,
inference(rw,[status(thm)],[goal_0,t4]) ).
cnf(g0_1,plain,
c_in(sFlat0,c_Tarski_OCompleteLattice,sFlat1) != true,
inference(rw,[status(thm)],[g0_0,t5]) ).
cnf(g0_2,plain,
sFlat2 != true,
inference(rw,[status(thm)],[g0_1,t6]) ).
cnf(g0_3,plain,
sFlat2 != sFlat2,
inference(rw,[status(thm)],[g0_2,t7]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT265-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 20:44:29 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.54/0.90 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.54/0.90 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------