TSTP Solution File: LAT268-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT268-2 : 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_sat --cores 0 -t %d %s
% Computer : n013.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 17:36:32 EDT 2022
% Result : Unsatisfiable 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 44 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 50 ( 27 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-4 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,plain,
$false,
inference(subsumption_resolution,[],[f22,f2]) ).
fof(f2,axiom,
c_in(v_x,v_S,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f22,plain,
~ c_in(v_x,v_S,t_a),
inference(subsumption_resolution,[],[f21,f1]) ).
fof(f1,axiom,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f21,plain,
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_x,v_S,t_a) ),
inference(resolution,[],[f20,f12]) ).
fof(f12,plain,
~ 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,[],[f3,f9]) ).
fof(f9,axiom,
! [X2,X3,X1] : c_Tarski_Oglb(X1,X3,X2) = c_Tarski_Olub(X1,c_Tarski_Odual(X3,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Oglb__dual__lub_0) ).
fof(f3,axiom,
~ 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(f20,plain,
! [X0,X1] :
( c_in(c_Pair(c_Tarski_Olub(X1,c_Tarski_Odual(v_cl,t_a),t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X1,v_A,tc_set(t_a))
| ~ c_in(X0,X1,t_a) ),
inference(forward_demodulation,[],[f19,f11]) ).
fof(f11,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(f19,plain,
! [X0,X1] :
( ~ c_lessequals(X1,v_A,tc_set(t_a))
| ~ c_in(X0,X1,t_a)
| c_in(c_Pair(c_Tarski_Olub(X1,c_Tarski_Odual(v_cl,t_a),t_a),X0,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,[],[f18,f4]) ).
fof(f4,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(f18,plain,
! [X0,X1] :
( ~ c_lessequals(X1,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))
| ~ c_in(X0,X1,t_a)
| c_in(c_Pair(c_Tarski_Olub(X1,c_Tarski_Odual(v_cl,t_a),t_a),X0,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
inference(subsumption_resolution,[],[f17,f7]) ).
fof(f7,axiom,
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(f17,plain,
! [X0,X1] :
( ~ c_lessequals(X1,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))
| ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(X0,X1,t_a)
| c_in(c_Pair(c_Tarski_Olub(X1,c_Tarski_Odual(v_cl,t_a),t_a),X0,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
inference(resolution,[],[f16,f8]) ).
fof(f8,axiom,
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(f16,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(X3,X0,X2)
| c_in(c_Pair(c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2),X3,X2,X2),c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),tc_prod(X2,X2))
| ~ c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)) ),
inference(forward_demodulation,[],[f13,f10]) ).
fof(f10,axiom,
! [X2,X3] : c_Tarski_Opotype_Opset(X3,X2,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X3,X2),X2,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(f13,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| c_in(c_Pair(c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2),X3,X2,X2),c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),tc_prod(X2,X2))
| ~ c_in(X3,X0,X2)
| ~ c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(c_Tarski_Odual(X1,X2),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)) ),
inference(resolution,[],[f5,f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X4] :
( ~ c_in(c_Pair(X0,X4,X2,X2),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X3,X2),X2,tc_Product__Type_Ounit),tc_prod(X2,X2))
| c_in(c_Pair(X4,X0,X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)) ),
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(f5,axiom,
! [X2,X3,X0,X1] :
( c_in(c_Pair(X0,c_Tarski_Olub(X1,X3,X2),X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2))
| ~ c_lessequals(X1,c_Tarski_Opotype_Opset(X3,X2,tc_Product__Type_Ounit),tc_set(X2))
| ~ c_in(X3,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(X3,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__upper_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT268-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:54:01 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 % (4429)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.46 % (4429)First to succeed.
% 0.20/0.47 % (4429)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (4429)------------------------------
% 0.20/0.47 % (4429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (4429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (4429)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (4429)Memory used [KB]: 895
% 0.20/0.47 % (4429)Time elapsed: 0.086 s
% 0.20/0.47 % (4429)Instructions burned: 2 (million)
% 0.20/0.47 % (4429)------------------------------
% 0.20/0.47 % (4429)------------------------------
% 0.20/0.47 % (4424)Success in time 0.117 s
%------------------------------------------------------------------------------