%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LAT273-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 10:34:15 PM UTC 2025
% Result : Unsatisfiable 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_1)
% Comments :
%------------------------------------------------------------------------------
cnf(3,plain,
c_in(v_b,v_A,t_a),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l0,plain,
c_in(v_b,v_A,t_a),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
( ~ c_in(X0,v_A,t_a)
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| c_in(v_sko__4mi(X1,v_r,X0),X1,t_a)
| c_in(c_Pair(X2,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(cnf,[status(esa)],[cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0]) ).
cnf(l1,plain,
( ~ c_in(v_b,v_A,t_a)
| ~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
inference(cnf,[status(esa)],[cls_conjecture_4]) ).
cnf(l2,plain,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
inference(instantiation,[status(thm)],[5]) ).
cnf(0,plain,
( ~ c_in(X0,X1,X2)
| ~ c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))
| c_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2)) ),
inference(cnf,[status(esa)],[cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0]) ).
cnf(l3,plain,
( ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| ~ c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))
| c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( ~ c_in(X0,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mi(X1,v_r,X0),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| c_in(c_Pair(X2,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(cnf,[status(esa)],[cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1]) ).
cnf(l5,plain,
( ~ c_in(v_b,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a)
| c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l7,plain,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
inference(instantiation,[status(thm)],[5]) ).
cnf(6,plain,
~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf,[status(esa)],[cls_conjecture_6]) ).
cnf(l9,plain,
~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(instantiation,[status(thm)],[6]) ).
cnf(l4,plain,
~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(instantiation,[status(thm)],[6]) ).
cnf(4,plain,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l6,plain,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l5,l7,l9,l4,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT273-2 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Jul 20 23:56:34 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.35 % SZS status Theorem for theBenchmark
% 0.14/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------