TSTP Solution File: LAT276-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT276-2 : 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 : 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 : 300s
% DateTime : Wed Aug 31 17:33:07 EDT 2022
% Result : Unsatisfiable 0.15s 0.49s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 7 unt; 0 def)
% Number of atoms : 109 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 145 ( 79 ~; 66 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,plain,
$false,
inference(unit_resulting_resolution,[],[f42,f57,f13]) ).
fof(f13,plain,
( c_in(v_xa,v_A,t_a)
| c_in(v_xa,v_S,t_a) ),
inference(backward_demodulation,[],[f3,f8]) ).
fof(f8,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f3,axiom,
( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f57,plain,
~ c_in(v_xa,v_A,t_a),
inference(subsumption_resolution,[],[f56,f1]) ).
fof(f1,axiom,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f56,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_xa,v_A,t_a) ),
inference(subsumption_resolution,[],[f55,f44]) ).
fof(f44,plain,
~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(resolution,[],[f42,f14]) ).
fof(f14,plain,
( c_in(v_xa,v_S,t_a)
| ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(forward_demodulation,[],[f4,f12]) ).
fof(f12,axiom,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f4,axiom,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f55,plain,
( c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_xa,v_A,t_a)
| ~ c_lessequals(v_S,v_A,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f53]) ).
fof(f53,plain,
( ~ c_in(v_xa,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_xa,v_A,t_a) ),
inference(resolution,[],[f51,f9]) ).
fof(f9,axiom,
! [X6,X7] :
( c_in(v_sko__4mP(X6,X7,v_r),X7,t_a)
| ~ c_in(X6,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(X7,v_cl,t_a),X6,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X7,v_A,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f51,plain,
( ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ c_in(v_xa,v_A,t_a) ),
inference(resolution,[],[f49,f24]) ).
fof(f24,plain,
! [X0] :
( c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ),
inference(subsumption_resolution,[],[f23,f15]) ).
fof(f15,plain,
! [X1] :
( c_in(v_xa,v_S,t_a)
| c_in(c_Pair(X1,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,v_S,t_a) ),
inference(forward_demodulation,[],[f6,f12]) ).
fof(f6,axiom,
! [X1] :
( c_in(c_Pair(X1,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a)
| ~ c_in(X1,v_S,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f23,plain,
! [X0] :
( c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_xa,v_S,t_a)
| ~ c_in(X0,v_S,t_a) ),
inference(subsumption_resolution,[],[f22,f1]) ).
fof(f22,plain,
! [X0] :
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(X0,v_S,t_a)
| ~ c_in(v_xa,v_S,t_a)
| c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f11,f20]) ).
fof(f20,plain,
! [X0] :
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ),
inference(forward_demodulation,[],[f19,f12]) ).
fof(f19,plain,
! [X0] :
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(forward_demodulation,[],[f2,f12]) ).
fof(f2,axiom,
! [X0] :
( c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f11,axiom,
! [X8,X7] :
( c_in(c_Pair(X8,c_Tarski_Olub(X7,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X7,v_A,tc_set(t_a))
| ~ c_in(X8,X7,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f49,plain,
( ~ c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_xa,v_A,t_a) ),
inference(subsumption_resolution,[],[f46,f1]) ).
fof(f46,plain,
( ~ c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_xa,v_A,t_a)
| ~ c_lessequals(v_S,v_A,tc_set(t_a)) ),
inference(resolution,[],[f44,f10]) ).
fof(f10,axiom,
! [X6,X7] :
( c_in(c_Pair(c_Tarski_Olub(X7,v_cl,t_a),X6,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X7,v_A,tc_set(t_a))
| ~ c_in(c_Pair(v_sko__4mP(X6,X7,v_r),X6,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X6,v_A,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).
fof(f42,plain,
~ c_in(v_xa,v_S,t_a),
inference(duplicate_literal_removal,[],[f41]) ).
fof(f41,plain,
( ~ c_in(v_xa,v_S,t_a)
| ~ c_in(v_xa,v_S,t_a) ),
inference(resolution,[],[f40,f1]) ).
fof(f40,plain,
! [X0] :
( ~ c_lessequals(X0,v_A,tc_set(t_a))
| ~ c_in(v_xa,v_S,t_a)
| ~ c_in(v_xa,X0,t_a) ),
inference(resolution,[],[f38,f7]) ).
fof(f7,axiom,
! [X2,X3,X4,X5] :
( c_in(X2,X5,X4)
| ~ c_lessequals(X3,X5,tc_set(X4))
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f38,plain,
( ~ c_in(v_xa,v_A,t_a)
| ~ c_in(v_xa,v_S,t_a) ),
inference(subsumption_resolution,[],[f36,f1]) ).
fof(f36,plain,
( ~ c_in(v_xa,v_A,t_a)
| ~ c_in(v_xa,v_S,t_a)
| ~ c_lessequals(v_S,v_A,tc_set(t_a)) ),
inference(resolution,[],[f35,f11]) ).
fof(f35,plain,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_xa,v_A,t_a) ),
inference(subsumption_resolution,[],[f34,f17]) ).
fof(f17,plain,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(forward_demodulation,[],[f16,f12]) ).
fof(f16,plain,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
inference(forward_demodulation,[],[f5,f12]) ).
fof(f5,axiom,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f34,plain,
( ~ c_in(v_xa,v_A,t_a)
| c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(subsumption_resolution,[],[f33,f1]) ).
fof(f33,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_xa,v_A,t_a)
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(duplicate_literal_removal,[],[f31]) ).
fof(f31,plain,
( c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_xa,v_A,t_a)
| ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_xa,v_A,t_a)
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f29,f9]) ).
fof(f29,plain,
( ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ c_in(v_xa,v_A,t_a)
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f28,f24]) ).
fof(f28,plain,
( ~ c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_xa,v_A,t_a)
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(subsumption_resolution,[],[f27,f1]) ).
fof(f27,plain,
( ~ c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_xa,v_A,t_a)
| ~ c_lessequals(v_S,v_A,tc_set(t_a)) ),
inference(resolution,[],[f10,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LAT276-2 : TPTP v8.1.0. Released v3.2.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n016.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 01:21:15 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.47 % (3178)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)
% 0.15/0.47 % (3186)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)
% 0.15/0.47 % (3186)First to succeed.
% 0.15/0.48 % (3195)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)
% 0.15/0.48 % (3187)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)
% 0.15/0.49 % (3186)Refutation found. Thanks to Tanya!
% 0.15/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49 % (3186)------------------------------
% 0.15/0.49 % (3186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (3186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (3186)Termination reason: Refutation
% 0.15/0.49
% 0.15/0.49 % (3186)Memory used [KB]: 1407
% 0.15/0.49 % (3186)Time elapsed: 0.106 s
% 0.15/0.49 % (3186)Instructions burned: 6 (million)
% 0.15/0.49 % (3186)------------------------------
% 0.15/0.49 % (3186)------------------------------
% 0.15/0.49 % (3171)Success in time 0.172 s
%------------------------------------------------------------------------------