TSTP Solution File: LAT268-10 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT268-10 : TPTP v8.1.0. Released v7.5.0.
% 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 : n021.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 17:33:04 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 10 con; 0-4 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,plain,
$false,
inference(subsumption_resolution,[],[f66,f13]) ).
fof(f13,plain,
true != c_in(c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(definition_unfolding,[],[f4,f10]) ).
fof(f10,axiom,
! [X3,X4,X5] : c_Tarski_Oglb(X3,X4,X5) = c_Tarski_Olub(X3,c_Tarski_Odual(X4,X5),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).
fof(f4,axiom,
true != c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f66,plain,
true = c_in(c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(superposition,[],[f1,f64]) ).
fof(f64,plain,
true = ifeq(true,true,c_in(c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),true),
inference(forward_demodulation,[],[f48,f12]) ).
fof(f12,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f48,plain,
true = ifeq(true,true,c_in(c_Pair(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_x,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),
inference(superposition,[],[f7,f43]) ).
fof(f43,plain,
true = c_in(c_Pair(v_x,c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),
inference(superposition,[],[f1,f41]) ).
fof(f41,plain,
true = ifeq(true,true,c_in(c_Pair(v_x,c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),
inference(forward_demodulation,[],[f40,f2]) ).
fof(f2,axiom,
c_lessequals(v_S,v_A,tc_set(t_a)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f40,plain,
true = ifeq(c_lessequals(v_S,v_A,tc_set(t_a)),true,c_in(c_Pair(v_x,c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),
inference(forward_demodulation,[],[f39,f1]) ).
fof(f39,plain,
true = ifeq(c_lessequals(v_S,v_A,tc_set(t_a)),true,ifeq(true,true,c_in(c_Pair(v_x,c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),
inference(superposition,[],[f27,f3]) ).
fof(f3,axiom,
true = c_in(v_x,v_S,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f27,plain,
! [X0,X1] : true = ifeq(c_lessequals(X0,v_A,tc_set(t_a)),true,ifeq(c_in(X1,X0,t_a),true,c_in(c_Pair(X1,c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),
inference(forward_demodulation,[],[f26,f5]) ).
fof(f5,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f26,plain,
! [X0,X1] : true = ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(c_in(X1,X0,t_a),true,c_in(c_Pair(X1,c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),
inference(forward_demodulation,[],[f25,f11]) ).
fof(f11,axiom,
! [X4,X5] : c_Tarski_Opotype_Opset(X4,X5,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X4,X5),X5,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
fof(f25,plain,
! [X0,X1] : true = ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(c_in(X1,X0,t_a),true,c_in(c_Pair(X1,c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),
inference(forward_demodulation,[],[f24,f1]) ).
fof(f24,plain,
! [X0,X1] : true = ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(true,true,ifeq(c_in(X1,X0,t_a),true,c_in(c_Pair(X1,c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),true),
inference(forward_demodulation,[],[f23,f8]) ).
fof(f8,axiom,
true = c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).
fof(f23,plain,
! [X0,X1] : true = ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(c_in(X1,X0,t_a),true,c_in(c_Pair(X1,c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),true),
inference(forward_demodulation,[],[f18,f1]) ).
fof(f18,plain,
! [X0,X1] : true = ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(true,true,ifeq(c_in(X1,X0,t_a),true,c_in(c_Pair(X1,c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),true),true),
inference(superposition,[],[f6,f9]) ).
fof(f9,axiom,
true = c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).
fof(f6,axiom,
! [X3,X6,X4,X5] : true = ifeq(c_lessequals(X3,c_Tarski_Opotype_Opset(X4,X5,tc_Product__Type_Ounit),tc_set(X5)),true,ifeq(c_in(X4,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X5,tc_Product__Type_Ounit)),true,ifeq(c_in(X4,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X5,tc_Product__Type_Ounit)),true,ifeq(c_in(X6,X3,X5),true,c_in(c_Pair(X6,c_Tarski_Olub(X3,X4,X5),X5,X5),c_Tarski_Opotype_Oorder(X4,X5,tc_Product__Type_Ounit),tc_prod(X5,X5)),true),true),true),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__upper_0) ).
fof(f7,axiom,
! [X6,X7,X4,X5] : true = ifeq(c_in(c_Pair(X6,X7,X5,X5),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X4,X5),X5,tc_Product__Type_Ounit),tc_prod(X5,X5)),true,c_in(c_Pair(X7,X6,X5,X5),c_Tarski_Opotype_Oorder(X4,X5,tc_Product__Type_Ounit),tc_prod(X5,X5)),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT268-10 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 : Tue Aug 30 00:53:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (3833)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.49 % (3825)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.20/0.49 % (3817)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (3825)First to succeed.
% 0.20/0.50 % (3822)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50 % (3825)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (3825)------------------------------
% 0.20/0.50 % (3825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (3825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (3825)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (3825)Memory used [KB]: 5756
% 0.20/0.50 % (3825)Time elapsed: 0.062 s
% 0.20/0.50 % (3825)Instructions burned: 7 (million)
% 0.20/0.50 % (3825)------------------------------
% 0.20/0.50 % (3825)------------------------------
% 0.20/0.50 % (3810)Success in time 0.16 s
%------------------------------------------------------------------------------