TSTP Solution File: LAT273-2 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LAT273-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 06:30:06 EDT 2022
% Result : Unsatisfiable 0.40s 0.56s
% Output : Refutation 0.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
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)),
input ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_b,v_A,t_a),
input ).
cnf(cls_conjecture_4,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
input ).
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)),
input ).
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(X2,X6,X3)
| ~ c_lessequals(X6,c_Tarski_Ointerval(X5,X7,X4,X3),tc_set(X3))
| c_in(c_Pair(X2,X4,X3,X3),X5,tc_prod(X3,X3)) ),
input ).
cnf(c0,plain,
( ~ c_in(X11,v_S,t_a)
| c_in(c_Pair(X11,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,status(thm),[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,cls_conjecture_2]) ).
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(X8,v_cl,X10,t_a)
| ~ c_in(X9,v_A,t_a)
| c_in(c_Pair(X10,X9,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(X8,v_r,X9),X8,t_a) ),
input ).
cnf(c1,plain,
( ~ c_in(X12,v_A,t_a)
| c_in(c_Pair(v_L,X12,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(v_S,v_r,X12),v_S,t_a) ),
inference(resolution,status(thm),[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,cls_conjecture_4]) ).
cnf(c2,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(resolution,status(thm),[c1,cls_conjecture_1]) ).
cnf(c3,plain,
c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
inference(resolution,status(thm),[c2,cls_conjecture_6]) ).
cnf(c5,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(resolution,status(thm),[c3,c0]) ).
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(X13,v_cl,X15,t_a)
| ~ c_in(X14,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mi(X13,v_r,X14),X14,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X15,X14,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
input ).
cnf(c6,plain,
( ~ c_Tarski_OisLub(v_S,v_cl,X16,t_a)
| ~ c_in(v_b,v_A,t_a)
| c_in(c_Pair(X16,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,status(thm),[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,c5]) ).
cnf(c7,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)) ),
inference(resolution,status(thm),[c6,cls_conjecture_4]) ).
cnf(c8,plain,
c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolution,status(thm),[c7,cls_conjecture_1]) ).
cnf(c9,plain,
$false,
inference(resolution,status(thm),[c8,cls_conjecture_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT273-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 17:42:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.40/0.56 # Version: 1.3
% 0.40/0.56 # SZS status Unsatisfiable
% 0.40/0.56 # SZS output start CNFRefutation
% See solution above
% 0.40/0.56
% 0.40/0.56 # Initial clauses : 7
% 0.40/0.56 # Processed clauses : 15
% 0.40/0.56 # Factors computed : 0
% 0.40/0.56 # Resolvents computed: 10
% 0.40/0.56 # Tautologies deleted: 0
% 0.40/0.56 # Forward subsumed : 0
% 0.40/0.56 # Backward subsumed : 2
% 0.40/0.56 # -------- CPU Time ---------
% 0.40/0.56 # User time : 0.208 s
% 0.40/0.56 # System time : 0.014 s
% 0.40/0.56 # Total time : 0.222 s
%------------------------------------------------------------------------------