TSTP Solution File: LAT273-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LAT273-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 : 600s
% DateTime : Sun Jul 17 06:01:56 EDT 2022
% Result : Unsatisfiable 0.21s 0.35s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 8 unt; 5 nHn; 22 RR)
% Number of literals : 49 ( 0 equ; 23 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 19 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(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,axiom,
( ~ c_in(V_x,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_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
cnf(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,axiom,
( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)
| ~ c_in(V_z,v_A,t_a)
| c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(V_S,v_r,V_z),V_S,t_a) ) ).
cnf(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,axiom,
( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)
| ~ c_in(V_z,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mi(V_S,v_r,V_z),V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_b,v_A,t_a) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)) ).
cnf(cls_conjecture_4,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a) ).
cnf(cls_conjecture_6,negated_conjecture,
~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ).
cnf(refute_0_0,plain,
( ~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a)
| ~ c_in(X_2,v_A,t_a)
| c_in(c_Pair(v_L,X_2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(v_S,v_r,X_2),v_S,t_a) ),
inference(subst,[],[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:[bind(V_L,$fot(v_L)),bind(V_S,$fot(v_S)),bind(V_z,$fot(X_2))]]) ).
cnf(refute_0_1,plain,
( ~ c_in(X_2,v_A,t_a)
| c_in(c_Pair(v_L,X_2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(v_S,v_r,X_2),v_S,t_a) ),
inference(resolve,[$cnf( c_Tarski_OisLub(v_S,v_cl,v_L,t_a) )],[cls_conjecture_4,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ c_in(v_b,v_A,t_a)
| c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(subst,[],[refute_0_1:[bind(X_2,$fot(v_b))]]) ).
cnf(refute_0_3,plain,
( c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(resolve,[$cnf( c_in(v_b,v_A,t_a) )],[cls_conjecture_1,refute_0_2]) ).
cnf(refute_0_4,plain,
c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
inference(resolve,[$cnf( c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) )],[refute_0_3,cls_conjecture_6]) ).
cnf(refute_0_5,plain,
( ~ c_in(X_9,v_S,t_a)
| ~ c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))
| c_in(c_Pair(X_9,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(subst,[],[cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0:[bind(T_a,$fot(t_a)),bind(V_S,$fot(v_S)),bind(V_a,$fot(v_a)),bind(V_b,$fot(v_b)),bind(V_r,$fot(v_r)),bind(V_x,$fot(X_9))]]) ).
cnf(refute_0_6,plain,
( ~ c_in(X_9,v_S,t_a)
| c_in(c_Pair(X_9,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolve,[$cnf( c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)) )],[cls_conjecture_2,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,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(subst,[],[refute_0_6:[bind(X_9,$fot(v_sko__4mi(v_S,v_r,v_b)))]]) ).
cnf(refute_0_8,plain,
c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolve,[$cnf( c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ c_Tarski_OisLub(v_S,v_cl,X_11,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_in(v_b,v_A,t_a)
| c_in(c_Pair(X_11,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(subst,[],[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:[bind(V_L,$fot(X_11)),bind(V_S,$fot(v_S)),bind(V_z,$fot(v_b))]]) ).
cnf(refute_0_10,plain,
( ~ c_Tarski_OisLub(v_S,v_cl,X_11,t_a)
| ~ c_in(v_b,v_A,t_a)
| c_in(c_Pair(X_11,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolve,[$cnf( 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)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ c_Tarski_OisLub(v_S,v_cl,X_11,t_a)
| c_in(c_Pair(X_11,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolve,[$cnf( c_in(v_b,v_A,t_a) )],[cls_conjecture_1,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a)
| c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(subst,[],[refute_0_11:[bind(X_11,$fot(v_L))]]) ).
cnf(refute_0_13,plain,
c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolve,[$cnf( c_Tarski_OisLub(v_S,v_cl,v_L,t_a) )],[cls_conjecture_4,refute_0_12]) ).
cnf(refute_0_14,plain,
$false,
inference(resolve,[$cnf( c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) )],[refute_0_13,cls_conjecture_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT273-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 17:22:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.35
% 0.21/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.36
%------------------------------------------------------------------------------