TSTP Solution File: LAT273-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT273-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 Aug 31 06:00:24 EDT 2023
% Result : Unsatisfiable 0.19s 0.63s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 23
% Syntax : Number of formulae : 36 ( 10 unt; 16 typ; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 21 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 8 >; 16 *; 0 +; 0 <<)
% 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 : 29 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_23,type,
c_Tarski_Ointerval: ( $i * $i * $i * $i ) > $i ).
tff(decl_24,type,
tc_set: $i > $i ).
tff(decl_25,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(decl_27,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_28,type,
v_cl: $i ).
tff(decl_29,type,
t_a: $i ).
tff(decl_30,type,
c_Tarski_OisLub: ( $i * $i * $i * $i ) > $o ).
tff(decl_31,type,
v_A: $i ).
tff(decl_32,type,
v_r: $i ).
tff(decl_33,type,
v_sko__4mi: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
v_b: $i ).
tff(decl_35,type,
v_S: $i ).
tff(decl_36,type,
v_a: $i ).
tff(decl_37,type,
v_L: $i ).
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(c_Pair(X1,X6,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,c_Tarski_Ointerval(X4,X5,X6,X3),tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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(cls_conjecture_2,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(X1,v_r,X3),X1,t_a)
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| ~ c_in(X3,v_A,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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(cls_conjecture_4,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
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_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| ~ c_in(X3,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mi(X1,v_r,X3),X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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(cls_conjecture_1,negated_conjecture,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c_0_7,axiom,
( c_in(c_Pair(X1,X6,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,c_Tarski_Ointerval(X4,X5,X6,X3),tc_set(X3)) ),
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(c_0_8,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
cls_conjecture_2 ).
cnf(c_0_9,axiom,
( c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(X1,v_r,X3),X1,t_a)
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| ~ c_in(X3,v_A,t_a) ),
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(c_0_10,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
cls_conjecture_4 ).
cnf(c_0_11,axiom,
( c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X1,v_cl,X2,t_a)
| ~ c_in(X3,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mi(X1,v_r,X3),X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
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(c_0_12,negated_conjecture,
( c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,v_S,t_a) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,negated_conjecture,
c_in(v_b,v_A,t_a),
cls_conjecture_1 ).
cnf(c_0_14,negated_conjecture,
~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
cls_conjecture_6 ).
cnf(c_0_15,negated_conjecture,
( c_in(c_Pair(v_L,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(v_S,v_r,X1),v_S,t_a)
| ~ c_in(X1,v_A,t_a) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X2,v_cl,X1,t_a)
| ~ c_in(v_sko__4mi(X2,v_r,v_b),v_S,t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_17,negated_conjecture,
c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_13])]) ).
cnf(c_0_18,negated_conjecture,
( c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,X1,t_a) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_18]),c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT273-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n026.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 : 300
% 0.13/0.34 % DateTime : Thu Aug 24 07:35:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.61 start to proof: theBenchmark
% 0.19/0.63 % Version : CSE_E---1.5
% 0.19/0.63 % Problem : theBenchmark.p
% 0.19/0.63 % Proof found
% 0.19/0.63 % SZS status Theorem for theBenchmark.p
% 0.19/0.63 % SZS output start Proof
% See solution above
% 0.19/0.64 % Total time : 0.004000 s
% 0.19/0.64 % SZS output end Proof
% 0.19/0.64 % Total time : 0.007000 s
%------------------------------------------------------------------------------