TSTP Solution File: LAT274-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT274-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n012.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 : Wed Aug 31 17:33:06 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 15
% Syntax : Number of formulae : 58 ( 6 unt; 0 def)
% Number of atoms : 201 ( 13 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 237 ( 94 ~; 143 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-4 aty)
% Number of variables : 108 ( 108 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f185,plain,
$false,
inference(unit_resulting_resolution,[],[f12,f12,f183]) ).
fof(f183,plain,
! [X0,X1] :
( ~ c_lessequals(v_S,X0,tc_set(t_a))
| ~ c_lessequals(v_S,X1,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f182,f175]) ).
fof(f175,plain,
! [X0,X1] :
( ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| ~ c_lessequals(v_S,X0,tc_set(t_a))
| ~ c_lessequals(v_S,X1,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f167,f15]) ).
fof(f15,axiom,
~ c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f167,plain,
! [X0,X1] :
( ~ c_lessequals(v_S,X1,tc_set(t_a))
| ~ c_lessequals(v_S,X0,tc_set(t_a))
| ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a) ),
inference(resolution,[],[f166,f51]) ).
fof(f51,plain,
! [X0] :
( ~ c_in(c_Pair(X0,v_L,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)
| c_in(v_L,c_Tarski_Ointerval(v_r,X0,v_b,t_a),t_a) ),
inference(resolution,[],[f46,f7]) ).
fof(f7,axiom,
! [X2,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X4,X7,X5,X5),X6,tc_prod(X5,X5))
| ~ c_in(c_Pair(X2,X4,X5,X5),X6,tc_prod(X5,X5))
| c_in(X4,c_Tarski_Ointerval(X6,X2,X7,X5),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_A_Ia1_M_Ax1_J_A_58_Ar_59_A_Ix1_M_Ab1_J_A_58_Ar_A_124_93_A_61_61_62_Ax1_A_58_Ainterval_Ar_Aa1_Ab1_A_61_61_ATrue_0) ).
fof(f46,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(subsumption_resolution,[],[f44,f11]) ).
fof(f11,axiom,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f44,plain,
( ~ 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))
| ~ c_in(v_b,v_A,t_a) ),
inference(resolution,[],[f17,f19]) ).
fof(f19,plain,
! [X0] :
( c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ),
inference(resolution,[],[f12,f6]) ).
fof(f6,axiom,
! [X2,X0,X6,X7,X4,X5] :
( ~ c_lessequals(X0,c_Tarski_Ointerval(X6,X2,X7,X5),tc_set(X5))
| c_in(c_Pair(X4,X7,X5,X5),X6,tc_prod(X5,X5))
| ~ c_in(X4,X0,X5) ),
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) ).
fof(f17,plain,
! [X1] :
( ~ c_in(c_Pair(v_sko__4mi(v_S,v_r,X1),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(v_L,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,v_A,t_a) ),
inference(resolution,[],[f14,f10]) ).
fof(f10,axiom,
! [X3,X0,X9] :
( ~ c_Tarski_OisLub(X0,v_cl,X3,t_a)
| ~ c_in(X9,v_A,t_a)
| c_in(c_Pair(X3,X9,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mi(X0,v_r,X9),X9,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) ).
fof(f14,axiom,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f166,plain,
! [X2,X3] :
( c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(v_S,X3,tc_set(t_a))
| ~ c_lessequals(v_S,X2,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f145,f144]) ).
fof(f144,plain,
! [X6,X4,X5] :
( c_in(c_Pair(v_a,X5,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(v_S,X4,tc_set(t_a))
| ~ c_lessequals(v_S,X6,tc_set(t_a))
| c_in(v_sko__4mk(X5,v_S,v_r),v_S,t_a) ),
inference(subsumption_resolution,[],[f142,f13]) ).
fof(f13,axiom,
c_emptyset != v_S,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f142,plain,
! [X6,X4,X5] :
( c_emptyset = v_S
| c_in(v_sko__4mk(X5,v_S,v_r),v_S,t_a)
| ~ c_lessequals(v_S,X6,tc_set(t_a))
| ~ c_lessequals(v_S,X4,tc_set(t_a))
| c_in(c_Pair(v_a,X5,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f139,f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ c_in(v_sko__4mj(X0,v_a,v_r),v_S,t_a)
| c_in(c_Pair(v_a,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X0,X2,tc_set(t_a))
| c_in(v_sko__4mk(X1,X0,v_r),X0,t_a)
| c_emptyset = X0 ),
inference(resolution,[],[f20,f3]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X2,v_sko__4mj(X0,X2,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X3,X0,v_r),X0,t_a)
| c_emptyset = X0
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X0,X1,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_2) ).
fof(f20,plain,
! [X1] :
( c_in(c_Pair(v_a,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,v_S,t_a) ),
inference(resolution,[],[f12,f5]) ).
fof(f5,axiom,
! [X2,X0,X6,X7,X4,X5] :
( ~ c_lessequals(X0,c_Tarski_Ointerval(X6,X2,X7,X5),tc_set(X5))
| ~ c_in(X4,X0,X5)
| c_in(c_Pair(X2,X4,X5,X5),X6,tc_prod(X5,X5)) ),
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_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f139,plain,
! [X0] :
( c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| ~ c_lessequals(v_S,X0,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f138,f125]) ).
fof(f125,plain,
! [X0] :
( ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| ~ c_lessequals(v_S,X0,tc_set(t_a))
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(duplicate_literal_removal,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ~ c_lessequals(v_S,X0,tc_set(t_a))
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(resolution,[],[f115,f15]) ).
fof(f115,plain,
! [X8,X9] :
( c_in(v_L,c_Tarski_Ointerval(v_r,X9,v_b,t_a),t_a)
| c_in(v_sko__4mj(v_S,X9,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| ~ c_lessequals(v_S,X8,tc_set(t_a))
| ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(resolution,[],[f112,f51]) ).
fof(f112,plain,
! [X0,X1] :
( c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(v_S,X1,tc_set(t_a))
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a) ),
inference(subsumption_resolution,[],[f111,f13]) ).
fof(f111,plain,
! [X0,X1] :
( ~ c_lessequals(v_S,X1,tc_set(t_a))
| c_emptyset = v_S
| c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a) ),
inference(resolution,[],[f110,f24]) ).
fof(f24,plain,
! [X3,X4,X5] :
( ~ c_in(v_sko__4mk(v_L,X3,v_r),v_S,t_a)
| c_in(v_sko__4mj(X3,X5,v_r),X3,t_a)
| c_emptyset = X3
| c_in(c_Pair(X5,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X3,X4,tc_set(t_a)) ),
inference(resolution,[],[f16,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(v_sko__4mk(X3,X0,v_r),X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X0,X1,tc_set(t_a))
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = X0
| c_in(v_sko__4mj(X0,X2,v_r),X0,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).
fof(f16,plain,
! [X0] :
( c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ),
inference(resolution,[],[f14,f8]) ).
fof(f8,axiom,
! [X3,X0,X8] :
( ~ c_Tarski_OisLub(X0,v_cl,X3,t_a)
| ~ c_in(X8,X0,t_a)
| c_in(c_Pair(X8,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_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f110,plain,
( c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(subsumption_resolution,[],[f109,f106]) ).
fof(f106,plain,
( ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) ),
inference(resolution,[],[f97,f15]) ).
fof(f97,plain,
! [X1] :
( c_in(v_L,c_Tarski_Ointerval(v_r,X1,v_b,t_a),t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a) ),
inference(resolution,[],[f51,f22]) ).
fof(f22,plain,
! [X2,X3] :
( c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X3,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,X2,v_r),v_S,t_a) ),
inference(subsumption_resolution,[],[f21,f13]) ).
fof(f21,plain,
! [X2,X3] :
( c_in(v_sko__4mk(X3,v_S,v_r),v_S,t_a)
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = v_S
| c_in(v_sko__4mj(v_S,X2,v_r),v_S,t_a) ),
inference(resolution,[],[f12,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(t_a))
| c_emptyset = X0
| c_in(v_sko__4mj(X0,X2,v_r),X0,t_a)
| c_in(v_sko__4mk(X3,X0,v_r),X0,t_a)
| c_in(c_Pair(X2,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_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f109,plain,
( c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(subsumption_resolution,[],[f108,f11]) ).
fof(f108,plain,
( c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| ~ c_in(v_b,v_A,t_a)
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(resolution,[],[f65,f15]) ).
fof(f65,plain,
! [X2,X3] :
( c_in(v_L,c_Tarski_Ointerval(v_r,X3,X2,t_a),t_a)
| ~ c_in(X2,v_A,t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,X3,v_r),v_S,t_a)
| c_in(v_sko__4mi(v_S,v_r,X2),v_S,t_a) ),
inference(resolution,[],[f32,f22]) ).
fof(f32,plain,
! [X3,X4] :
( ~ c_in(c_Pair(X4,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(v_S,v_r,X3),v_S,t_a)
| ~ c_in(X3,v_A,t_a)
| c_in(v_L,c_Tarski_Ointerval(v_r,X4,X3,t_a),t_a) ),
inference(resolution,[],[f18,f7]) ).
fof(f18,plain,
! [X2] :
( c_in(c_Pair(v_L,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X2,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,X2),v_S,t_a) ),
inference(resolution,[],[f14,f9]) ).
fof(f9,axiom,
! [X3,X0,X9] :
( ~ c_Tarski_OisLub(X0,v_cl,X3,t_a)
| ~ c_in(X9,v_A,t_a)
| c_in(v_sko__4mi(X0,v_r,X9),X0,t_a)
| c_in(c_Pair(X3,X9,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_0) ).
fof(f138,plain,
! [X0] :
( c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| ~ c_lessequals(v_S,X0,tc_set(t_a))
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(subsumption_resolution,[],[f137,f11]) ).
fof(f137,plain,
! [X0] :
( ~ c_lessequals(v_S,X0,tc_set(t_a))
| ~ c_in(v_b,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(duplicate_literal_removal,[],[f136]) ).
fof(f136,plain,
! [X0] :
( c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| ~ c_lessequals(v_S,X0,tc_set(t_a))
| ~ c_in(v_b,v_A,t_a)
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(resolution,[],[f117,f15]) ).
fof(f117,plain,
! [X14,X12,X13] :
( c_in(v_L,c_Tarski_Ointerval(v_r,X13,X14,t_a),t_a)
| c_in(v_sko__4mj(v_S,X13,v_r),v_S,t_a)
| ~ c_lessequals(v_S,X12,tc_set(t_a))
| ~ c_in(X14,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,X14),v_S,t_a)
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(resolution,[],[f112,f32]) ).
fof(f145,plain,
! [X2,X3] :
( ~ c_lessequals(v_S,X2,tc_set(t_a))
| ~ c_lessequals(v_S,X3,tc_set(t_a))
| c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) ),
inference(subsumption_resolution,[],[f141,f13]) ).
fof(f141,plain,
! [X2,X3] :
( ~ c_lessequals(v_S,X3,tc_set(t_a))
| ~ c_lessequals(v_S,X2,tc_set(t_a))
| c_emptyset = v_S
| ~ c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f139,f84]) ).
fof(f84,plain,
! [X3,X4] :
( ~ c_in(v_sko__4mj(X3,v_a,v_r),v_S,t_a)
| ~ c_lessequals(X3,X4,tc_set(t_a))
| ~ c_in(v_sko__4mk(v_L,X3,v_r),v_S,t_a)
| c_emptyset = X3
| c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f23,f20]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ c_in(c_Pair(X2,v_sko__4mj(X0,X2,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = X0
| c_in(c_Pair(X2,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mk(v_L,X0,v_r),v_S,t_a)
| ~ c_lessequals(X0,X1,tc_set(t_a)) ),
inference(resolution,[],[f16,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(v_sko__4mk(X3,X0,v_r),X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X0,X1,tc_set(t_a))
| ~ c_in(c_Pair(X2,v_sko__4mj(X0,X2,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = X0
| c_in(c_Pair(X2,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_AS1_A_60_61_AA_59_AS1_A_126_61_A_123_125_59_AALL_Ax_58S1_O_A_Ia1_M_Ax_J_A_58_Ar_59_AALL_Ay_58S1_O_A_Iy_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ia1_M_AL1_J_A_58_Ar_A_61_61_ATrue_3) ).
fof(f182,plain,
! [X0,X1] :
( c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| ~ c_lessequals(v_S,X1,tc_set(t_a))
| ~ c_lessequals(v_S,X0,tc_set(t_a)) ),
inference(subsumption_resolution,[],[f181,f11]) ).
fof(f181,plain,
! [X0,X1] :
( ~ c_in(v_b,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| ~ c_lessequals(v_S,X0,tc_set(t_a))
| ~ c_lessequals(v_S,X1,tc_set(t_a)) ),
inference(resolution,[],[f169,f15]) ).
fof(f169,plain,
! [X6,X4,X5] :
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,X6,t_a),t_a)
| ~ c_lessequals(v_S,X4,tc_set(t_a))
| c_in(v_sko__4mi(v_S,v_r,X6),v_S,t_a)
| ~ c_lessequals(v_S,X5,tc_set(t_a))
| ~ c_in(X6,v_A,t_a) ),
inference(resolution,[],[f166,f32]) ).
fof(f12,axiom,
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT274-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 00:57:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.48 % (32122)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.49 % (32139)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.49 % (32122)Refutation not found, incomplete strategy% (32122)------------------------------
% 0.20/0.49 % (32122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (32122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (32122)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (32122)Memory used [KB]: 5884
% 0.20/0.49 % (32122)Time elapsed: 0.103 s
% 0.20/0.49 % (32122)Instructions burned: 3 (million)
% 0.20/0.49 % (32122)------------------------------
% 0.20/0.49 % (32122)------------------------------
% 0.20/0.49 % (32119)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.50 % (32131)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.50 % (32139)Refutation not found, incomplete strategy% (32139)------------------------------
% 0.20/0.50 % (32139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (32139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (32139)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (32139)Memory used [KB]: 1407
% 0.20/0.50 % (32139)Time elapsed: 0.108 s
% 0.20/0.50 % (32139)Instructions burned: 3 (million)
% 0.20/0.50 % (32139)------------------------------
% 0.20/0.50 % (32139)------------------------------
% 0.20/0.50 % (32131)Instruction limit reached!
% 0.20/0.50 % (32131)------------------------------
% 0.20/0.50 % (32131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (32131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (32131)Termination reason: Unknown
% 0.20/0.50 % (32131)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (32131)Memory used [KB]: 5884
% 0.20/0.50 % (32131)Time elapsed: 0.112 s
% 0.20/0.50 % (32131)Instructions burned: 6 (million)
% 0.20/0.50 % (32131)------------------------------
% 0.20/0.50 % (32131)------------------------------
% 0.20/0.50 % (32146)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.51 % (32142)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (32134)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.52 % (32124)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52 % (32128)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.52 % (32127)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (32144)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.52 % (32120)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.52 % (32144)Refutation not found, incomplete strategy% (32144)------------------------------
% 0.20/0.52 % (32144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (32144)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (32144)Memory used [KB]: 5884
% 0.20/0.52 % (32144)Time elapsed: 0.118 s
% 0.20/0.52 % (32144)Instructions burned: 1 (million)
% 0.20/0.52 % (32144)------------------------------
% 0.20/0.52 % (32144)------------------------------
% 0.20/0.52 % (32120)Refutation not found, incomplete strategy% (32120)------------------------------
% 0.20/0.52 % (32120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32134)Instruction limit reached!
% 0.20/0.52 % (32134)------------------------------
% 0.20/0.52 % (32134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32125)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (32126)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (32143)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.53 % (32146)Refutation not found, incomplete strategy% (32146)------------------------------
% 0.20/0.53 % (32146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32146)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (32146)Memory used [KB]: 1407
% 0.20/0.53 % (32146)Time elapsed: 0.130 s
% 0.20/0.53 % (32146)Instructions burned: 1 (million)
% 0.20/0.53 % (32146)------------------------------
% 0.20/0.53 % (32146)------------------------------
% 0.20/0.53 % (32121)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.53 % (32118)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53 % (32141)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.53 % (32120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32120)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (32120)Memory used [KB]: 5884
% 0.20/0.53 % (32120)Time elapsed: 0.116 s
% 0.20/0.53 % (32120)Instructions burned: 3 (million)
% 0.20/0.53 % (32120)------------------------------
% 0.20/0.53 % (32120)------------------------------
% 0.20/0.53 % (32137)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.53 % (32127)Refutation not found, incomplete strategy% (32127)------------------------------
% 0.20/0.53 % (32127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32127)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (32127)Memory used [KB]: 5884
% 0.20/0.53 % (32127)Time elapsed: 0.119 s
% 0.20/0.53 % (32127)Instructions burned: 2 (million)
% 0.20/0.53 % (32127)------------------------------
% 0.20/0.53 % (32127)------------------------------
% 0.20/0.53 % (32148)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (32137)Refutation not found, incomplete strategy% (32137)------------------------------
% 0.20/0.53 % (32137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32128)Refutation not found, incomplete strategy% (32128)------------------------------
% 0.20/0.53 % (32128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32128)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (32128)Memory used [KB]: 5884
% 0.20/0.53 % (32128)Time elapsed: 0.141 s
% 0.20/0.53 % (32128)Instructions burned: 5 (million)
% 0.20/0.53 % (32128)------------------------------
% 0.20/0.53 % (32128)------------------------------
% 0.20/0.53 % (32137)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (32137)Memory used [KB]: 10362
% 0.20/0.53 % (32137)Time elapsed: 0.140 s
% 0.20/0.53 % (32137)Instructions burned: 2 (million)
% 0.20/0.53 % (32137)------------------------------
% 0.20/0.53 % (32137)------------------------------
% 0.20/0.53 % (32133)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.53 % (32148)Refutation not found, incomplete strategy% (32148)------------------------------
% 0.20/0.53 % (32148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (32136)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54 % (32148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (32148)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (32148)Memory used [KB]: 5884
% 0.20/0.54 % (32148)Time elapsed: 0.136 s
% 0.20/0.54 % (32148)Instructions burned: 1 (million)
% 0.20/0.54 % (32148)------------------------------
% 0.20/0.54 % (32148)------------------------------
% 0.20/0.54 % (32119)First to succeed.
% 0.20/0.54 % (32147)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.54 % (32125)Refutation not found, incomplete strategy% (32125)------------------------------
% 0.20/0.54 % (32125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (32125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (32125)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (32125)Memory used [KB]: 5884
% 0.20/0.54 % (32125)Time elapsed: 0.107 s
% 0.20/0.54 % (32125)Instructions burned: 3 (million)
% 0.20/0.54 % (32125)------------------------------
% 0.20/0.54 % (32125)------------------------------
% 0.20/0.54 % (32134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (32134)Termination reason: Unknown
% 0.20/0.54 % (32134)Termination phase: Finite model building preprocessing
% 0.20/0.54
% 0.20/0.54 % (32134)Memory used [KB]: 1407
% 0.20/0.54 % (32134)Time elapsed: 0.005 s
% 0.20/0.54 % (32134)Instructions burned: 7 (million)
% 0.20/0.54 % (32134)------------------------------
% 0.20/0.54 % (32134)------------------------------
% 0.20/0.54 % (32126)Instruction limit reached!
% 0.20/0.54 % (32126)------------------------------
% 0.20/0.54 % (32126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (32126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (32126)Termination reason: Unknown
% 0.20/0.54 % (32126)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (32126)Memory used [KB]: 5884
% 0.20/0.54 % (32126)Time elapsed: 0.138 s
% 0.20/0.54 % (32126)Instructions burned: 3 (million)
% 0.20/0.54 % (32126)------------------------------
% 0.20/0.54 % (32126)------------------------------
% 0.20/0.54 % (32136)Instruction limit reached!
% 0.20/0.54 % (32136)------------------------------
% 0.20/0.54 % (32136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (32130)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.54 % (32142)Also succeeded, but the first one will report.
% 0.20/0.54 % (32138)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (32119)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (32119)------------------------------
% 0.20/0.55 % (32119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (32119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (32119)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (32119)Memory used [KB]: 1663
% 0.20/0.55 % (32119)Time elapsed: 0.127 s
% 0.20/0.55 % (32119)Instructions burned: 20 (million)
% 0.20/0.55 % (32119)------------------------------
% 0.20/0.55 % (32119)------------------------------
% 0.20/0.55 % (32113)Success in time 0.193 s
%------------------------------------------------------------------------------