TSTP Solution File: LAT274-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT274-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %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 : Tue Apr 30 13:21:29 EDT 2024
% Result : Unsatisfiable 0.17s 0.35s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 21
% Syntax : Number of formulae : 91 ( 21 unt; 0 def)
% Number of atoms : 237 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 216 ( 70 ~; 140 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-4 aty)
% Number of variables : 127 ( 127 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f364,plain,
$false,
inference(subsumption_resolution,[],[f360,f346]) ).
fof(f346,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(unit_resulting_resolution,[],[f11,f14,f335,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/sandbox/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(f335,plain,
~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(unit_resulting_resolution,[],[f15,f329,f7]) ).
fof(f7,axiom,
! [X2,X6,X7,X4,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)
| ~ c_in(c_Pair(X4,X7,X5,X5),X6,tc_prod(X5,X5)) ),
file('/export/starexec/sandbox/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(f329,plain,
c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(unit_resulting_resolution,[],[f28,f13,f258,f173,f27]) ).
fof(f27,plain,
! [X2,X3,X0] :
( ~ 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(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = X0
| ~ c_in(c_Pair(v_sko__4mk(X3,X0,v_r),X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ sP5(X0) ),
inference(general_splitting,[],[f4,f26_D]) ).
fof(f26,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(t_a))
| sP5(X0) ),
inference(cnf_transformation,[],[f26_D]) ).
fof(f26_D,plain,
! [X0] :
( ! [X1] : ~ c_lessequals(X0,X1,tc_set(t_a))
<=> ~ sP5(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( c_emptyset = X0
| ~ 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_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(c_Pair(v_sko__4mk(X3,X0,v_r),X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/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(f173,plain,
c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(unit_resulting_resolution,[],[f38,f168,f19]) ).
fof(f19,plain,
! [X2,X0,X6,X4,X5] :
( ~ sP1(X6,X0,X5,X2)
| c_in(c_Pair(X2,X4,X5,X5),X6,tc_prod(X5,X5))
| ~ c_in(X4,X0,X5) ),
inference(general_splitting,[],[f5,f18_D]) ).
fof(f18,plain,
! [X2,X0,X6,X7,X5] :
( ~ c_lessequals(X0,c_Tarski_Ointerval(X6,X2,X7,X5),tc_set(X5))
| sP1(X6,X0,X5,X2) ),
inference(cnf_transformation,[],[f18_D]) ).
fof(f18_D,plain,
! [X2,X5,X0,X6] :
( ! [X7] : ~ c_lessequals(X0,c_Tarski_Ointerval(X6,X2,X7,X5),tc_set(X5))
<=> ~ sP1(X6,X0,X5,X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f5,axiom,
! [X2,X0,X6,X7,X4,X5] :
( ~ c_in(X4,X0,X5)
| ~ c_lessequals(X0,c_Tarski_Ointerval(X6,X2,X7,X5),tc_set(X5))
| c_in(c_Pair(X2,X4,X5,X5),X6,tc_prod(X5,X5)) ),
file('/export/starexec/sandbox/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(f168,plain,
c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a),
inference(duplicate_literal_removal,[],[f167]) ).
fof(f167,plain,
( 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,[],[f162,f15]) ).
fof(f162,plain,
! [X0] :
( c_in(v_L,c_Tarski_Ointerval(v_r,X0,v_b,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(duplicate_literal_removal,[],[f155]) ).
fof(f155,plain,
! [X0] :
( 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_L,c_Tarski_Ointerval(v_r,X0,v_b,t_a),t_a)
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a) ),
inference(resolution,[],[f154,f128]) ).
fof(f128,plain,
! [X0,X1] :
( ~ c_in(c_Pair(v_L,X1,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_L,c_Tarski_Ointerval(v_r,X0,X1,t_a),t_a)
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a) ),
inference(resolution,[],[f116,f7]) ).
fof(f116,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__4mj(v_S,X0,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(subsumption_resolution,[],[f115,f29]) ).
fof(f29,plain,
sP4(v_S),
inference(unit_resulting_resolution,[],[f12,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(t_a))
| sP4(X0) ),
inference(cnf_transformation,[],[f24_D]) ).
fof(f24_D,plain,
! [X0] :
( ! [X1] : ~ c_lessequals(X0,X1,tc_set(t_a))
<=> ~ sP4(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
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/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f115,plain,
! [X0] :
( c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)
| c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ sP4(v_S)
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(subsumption_resolution,[],[f113,f13]) ).
fof(f113,plain,
! [X0] :
( c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)
| c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = v_S
| ~ sP4(v_S)
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(resolution,[],[f25,f78]) ).
fof(f78,plain,
( c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),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) ),
inference(resolution,[],[f75,f40]) ).
fof(f40,plain,
! [X0] :
( ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f8,f14]) ).
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/sandbox/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(f75,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(duplicate_literal_removal,[],[f74]) ).
fof(f74,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__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(resolution,[],[f72,f15]) ).
fof(f72,plain,
! [X0] :
( c_in(v_L,c_Tarski_Ointerval(v_r,X0,v_b,t_a),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)
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a) ),
inference(duplicate_literal_removal,[],[f70]) ).
fof(f70,plain,
! [X0] :
( 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)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_L,c_Tarski_Ointerval(v_r,X0,v_b,t_a),t_a)
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a) ),
inference(resolution,[],[f68,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a)
| c_in(X1,c_Tarski_Ointerval(v_r,X0,X2,t_a),t_a)
| c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a) ),
inference(resolution,[],[f47,f7]) ).
fof(f47,plain,
! [X0,X1] :
( c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a)
| c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a) ),
inference(subsumption_resolution,[],[f46,f13]) ).
fof(f46,plain,
! [X0,X1] :
( c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a)
| c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a)
| c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = v_S ),
inference(resolution,[],[f21,f31]) ).
fof(f31,plain,
sP2(v_S),
inference(unit_resulting_resolution,[],[f12,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(t_a))
| sP2(X0) ),
inference(cnf_transformation,[],[f20_D]) ).
fof(f20_D,plain,
! [X0] :
( ! [X1] : ~ c_lessequals(X0,X1,tc_set(t_a))
<=> ~ sP2(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f21,plain,
! [X2,X3,X0] :
( ~ sP2(X0)
| c_in(v_sko__4mk(X3,X0,v_r),X0,t_a)
| c_in(v_sko__4mj(X0,X2,v_r),X0,t_a)
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = X0 ),
inference(general_splitting,[],[f1,f20_D]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( c_emptyset = X0
| ~ c_lessequals(X0,X1,tc_set(t_a))
| c_in(v_sko__4mk(X3,X0,v_r),X0,t_a)
| c_in(v_sko__4mj(X0,X2,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/sandbox/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(f68,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__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,[],[f66,f11]) ).
fof(f66,plain,
( 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)
| 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(resolution,[],[f65,f54]) ).
fof(f54,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))
| 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(resolution,[],[f52,f41]) ).
fof(f41,plain,
! [X0] :
( ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f17,f36]) ).
fof(f36,plain,
sP0(v_r,v_S,t_a,v_b),
inference(unit_resulting_resolution,[],[f12,f16]) ).
fof(f16,plain,
! [X2,X0,X6,X7,X5] :
( ~ c_lessequals(X0,c_Tarski_Ointerval(X6,X2,X7,X5),tc_set(X5))
| sP0(X6,X0,X5,X7) ),
inference(cnf_transformation,[],[f16_D]) ).
fof(f16_D,plain,
! [X7,X5,X0,X6] :
( ! [X2] : ~ c_lessequals(X0,c_Tarski_Ointerval(X6,X2,X7,X5),tc_set(X5))
<=> ~ sP0(X6,X0,X5,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f17,plain,
! [X0,X6,X7,X4,X5] :
( ~ sP0(X6,X0,X5,X7)
| c_in(c_Pair(X4,X7,X5,X5),X6,tc_prod(X5,X5))
| ~ c_in(X4,X0,X5) ),
inference(general_splitting,[],[f6,f16_D]) ).
fof(f6,axiom,
! [X2,X0,X6,X7,X4,X5] :
( ~ c_in(X4,X0,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)) ),
file('/export/starexec/sandbox/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(f52,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,[],[f50,f15]) ).
fof(f50,plain,
! [X0] :
( c_in(v_L,c_Tarski_Ointerval(v_r,X0,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__4mj(v_S,X0,v_r),v_S,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(resolution,[],[f49,f44]) ).
fof(f44,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,[],[f43,f11]) ).
fof(f43,plain,
! [X0] :
( ~ c_in(X0,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,X0),v_S,t_a)
| c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f9,f14]) ).
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/sandbox/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(f65,plain,
! [X0] :
( ~ c_in(c_Pair(v_sko__4mi(v_S,v_r,X0),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_A,t_a) ),
inference(resolution,[],[f10,f14]) ).
fof(f25,plain,
! [X2,X3,X0] :
( ~ 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_in(v_sko__4mj(X0,X2,v_r),X0,t_a)
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = X0
| ~ sP4(X0) ),
inference(general_splitting,[],[f2,f24_D]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( c_emptyset = X0
| ~ c_lessequals(X0,X1,tc_set(t_a))
| c_in(v_sko__4mj(X0,X2,v_r),X0,t_a)
| c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mk(X3,X0,v_r),X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/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(f154,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__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(subsumption_resolution,[],[f150,f11]) ).
fof(f150,plain,
( c_in(v_sko__4mj(v_S,v_a,v_r),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,[],[f145,f65]) ).
fof(f145,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))
| c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a) ),
inference(resolution,[],[f143,f41]) ).
fof(f143,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) ),
inference(duplicate_literal_removal,[],[f142]) ).
fof(f142,plain,
( 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,[],[f137,f15]) ).
fof(f137,plain,
! [X0] :
( c_in(v_L,c_Tarski_Ointerval(v_r,X0,v_b,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)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(resolution,[],[f128,f44]) ).
fof(f38,plain,
sP1(v_r,v_S,t_a,v_a),
inference(unit_resulting_resolution,[],[f12,f18]) ).
fof(f258,plain,
c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(unit_resulting_resolution,[],[f14,f254,f8]) ).
fof(f254,plain,
c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a),
inference(subsumption_resolution,[],[f252,f15]) ).
fof(f252,plain,
( c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a) ),
inference(duplicate_literal_removal,[],[f248]) ).
fof(f248,plain,
( c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)
| c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a)
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) ),
inference(resolution,[],[f243,f191]) ).
fof(f191,plain,
! [X0,X1] :
( ~ c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(X0,c_Tarski_Ointerval(v_r,v_a,X1,t_a),t_a)
| c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a) ),
inference(resolution,[],[f185,f7]) ).
fof(f185,plain,
! [X0] :
( c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a) ),
inference(subsumption_resolution,[],[f184,f30]) ).
fof(f30,plain,
sP3(v_S),
inference(unit_resulting_resolution,[],[f12,f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(t_a))
| sP3(X0) ),
inference(cnf_transformation,[],[f22_D]) ).
fof(f22_D,plain,
! [X0] :
( ! [X1] : ~ c_lessequals(X0,X1,tc_set(t_a))
<=> ~ sP3(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f184,plain,
! [X0] :
( c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a)
| c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ sP3(v_S) ),
inference(subsumption_resolution,[],[f181,f13]) ).
fof(f181,plain,
! [X0] :
( c_in(v_sko__4mk(X0,v_S,v_r),v_S,t_a)
| c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = v_S
| ~ sP3(v_S) ),
inference(resolution,[],[f173,f23]) ).
fof(f23,plain,
! [X2,X3,X0] :
( ~ 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_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_emptyset = X0
| ~ sP3(X0) ),
inference(general_splitting,[],[f3,f22_D]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( c_emptyset = X0
| ~ c_lessequals(X0,X1,tc_set(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))
| ~ c_in(c_Pair(X2,v_sko__4mj(X0,X2,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/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(f243,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__4mk(v_L,v_S,v_r),v_S,t_a) ),
inference(subsumption_resolution,[],[f238,f11]) ).
fof(f238,plain,
( c_in(v_sko__4mk(v_L,v_S,v_r),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,[],[f232,f65]) ).
fof(f232,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))
| c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a) ),
inference(resolution,[],[f230,f41]) ).
fof(f230,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) ),
inference(subsumption_resolution,[],[f228,f15]) ).
fof(f228,plain,
( c_in(v_L,c_Tarski_Ointerval(v_r,v_a,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) ),
inference(resolution,[],[f191,f44]) ).
fof(f13,axiom,
c_emptyset != v_S,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f28,plain,
sP5(v_S),
inference(unit_resulting_resolution,[],[f12,f26]) ).
fof(f15,axiom,
~ c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f14,axiom,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f11,axiom,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f360,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(unit_resulting_resolution,[],[f36,f345,f17]) ).
fof(f345,plain,
c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
inference(unit_resulting_resolution,[],[f14,f11,f335,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : LAT274-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n026.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Apr 29 22:02:49 EDT 2024
% 0.17/0.31 % CPUTime :
% 0.17/0.31 % (11435)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.33 % (11438)WARNING: value z3 for option sas not known
% 0.17/0.33 % (11442)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.17/0.33 % (11436)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.33 % (11437)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.33 % (11439)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.33 % (11438)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.33 % (11440)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.17/0.33 % (11441)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.17/0.34 TRYING [1]
% 0.17/0.34 TRYING [1]
% 0.17/0.34 TRYING [2]
% 0.17/0.34 TRYING [2]
% 0.17/0.34 % (11442)First to succeed.
% 0.17/0.35 TRYING [3]
% 0.17/0.35 TRYING [3]
% 0.17/0.35 % (11438)Also succeeded, but the first one will report.
% 0.17/0.35 % (11442)Refutation found. Thanks to Tanya!
% 0.17/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.35 % (11442)------------------------------
% 0.17/0.35 % (11442)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.35 % (11442)Termination reason: Refutation
% 0.17/0.35
% 0.17/0.35 % (11442)Memory used [KB]: 945
% 0.17/0.35 % (11442)Time elapsed: 0.017 s
% 0.17/0.35 % (11442)Instructions burned: 31 (million)
% 0.17/0.35 % (11442)------------------------------
% 0.17/0.35 % (11442)------------------------------
% 0.17/0.35 % (11435)Success in time 0.031 s
%------------------------------------------------------------------------------