TSTP Solution File: LAT268-10 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n017.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 17:36:31 EDT 2022
% Result : Unsatisfiable 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 50 ( 50 unt; 0 def)
% Number of atoms : 50 ( 49 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 18 con; 0-4 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f111,plain,
$false,
inference(subsumption_resolution,[],[f109,f24]) ).
fof(f24,plain,
true != sF7,
inference(definition_folding,[],[f13,f23,f22,f21,f20,f19]) ).
fof(f19,plain,
c_Tarski_Odual(v_cl,t_a) = sF3,
introduced(function_definition,[]) ).
fof(f20,plain,
sF4 = c_Tarski_Olub(v_S,sF3,t_a),
introduced(function_definition,[]) ).
fof(f21,plain,
sF5 = c_Pair(sF4,v_x,t_a,t_a),
introduced(function_definition,[]) ).
fof(f22,plain,
tc_prod(t_a,t_a) = sF6,
introduced(function_definition,[]) ).
fof(f23,plain,
sF7 = c_in(sF5,v_r,sF6),
introduced(function_definition,[]) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f109,plain,
true = sF7,
inference(superposition,[],[f108,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f108,plain,
true = ifeq(true,true,sF7,true),
inference(backward_demodulation,[],[f95,f106]) ).
fof(f106,plain,
true = c_in(c_Pair(v_x,sF4,t_a,t_a),c_Tarski_Opotype_Oorder(sF3,t_a,tc_Product__Type_Ounit),sF6),
inference(superposition,[],[f1,f103]) ).
fof(f103,plain,
true = ifeq(true,true,c_in(c_Pair(v_x,sF4,t_a,t_a),c_Tarski_Opotype_Oorder(sF3,t_a,tc_Product__Type_Ounit),sF6),true),
inference(forward_demodulation,[],[f100,f1]) ).
fof(f100,plain,
true = ifeq(true,true,ifeq(true,true,c_in(c_Pair(v_x,sF4,t_a,t_a),c_Tarski_Opotype_Oorder(sF3,t_a,tc_Product__Type_Ounit),sF6),true),true),
inference(superposition,[],[f85,f28]) ).
fof(f28,plain,
true = c_in(v_x,v_S,t_a),
inference(backward_demodulation,[],[f17,f18]) ).
fof(f18,plain,
true = sF2,
inference(definition_folding,[],[f3,f17]) ).
fof(f3,axiom,
true = c_in(v_x,v_S,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f17,plain,
c_in(v_x,v_S,t_a) = sF2,
introduced(function_definition,[]) ).
fof(f85,plain,
! [X0] : true = ifeq(true,true,ifeq(c_in(X0,v_S,t_a),true,c_in(c_Pair(X0,sF4,t_a,t_a),c_Tarski_Opotype_Oorder(sF3,t_a,tc_Product__Type_Ounit),sF6),true),true),
inference(forward_demodulation,[],[f83,f25]) ).
fof(f25,plain,
true = c_lessequals(v_S,v_A,sF0),
inference(forward_demodulation,[],[f15,f16]) ).
fof(f16,plain,
true = sF1,
inference(definition_folding,[],[f2,f15,f14]) ).
fof(f14,plain,
tc_set(t_a) = sF0,
introduced(function_definition,[]) ).
fof(f2,axiom,
c_lessequals(v_S,v_A,tc_set(t_a)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f15,plain,
c_lessequals(v_S,v_A,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f83,plain,
! [X0] : true = ifeq(c_lessequals(v_S,v_A,sF0),true,ifeq(c_in(X0,v_S,t_a),true,c_in(c_Pair(X0,sF4,t_a,t_a),c_Tarski_Opotype_Oorder(sF3,t_a,tc_Product__Type_Ounit),sF6),true),true),
inference(backward_demodulation,[],[f66,f82]) ).
fof(f82,plain,
v_A = c_Tarski_Opotype_Opset(sF3,t_a,tc_Product__Type_Ounit),
inference(forward_demodulation,[],[f80,f5]) ).
fof(f5,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(f80,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(sF3,t_a,tc_Product__Type_Ounit),
inference(superposition,[],[f11,f19]) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).
fof(f66,plain,
! [X0] : true = ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(sF3,t_a,tc_Product__Type_Ounit),sF0),true,ifeq(c_in(X0,v_S,t_a),true,c_in(c_Pair(X0,sF4,t_a,t_a),c_Tarski_Opotype_Oorder(sF3,t_a,tc_Product__Type_Ounit),sF6),true),true),
inference(forward_demodulation,[],[f65,f14]) ).
fof(f65,plain,
! [X0] : true = ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(sF3,t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(c_in(X0,v_S,t_a),true,c_in(c_Pair(X0,sF4,t_a,t_a),c_Tarski_Opotype_Oorder(sF3,t_a,tc_Product__Type_Ounit),sF6),true),true),
inference(forward_demodulation,[],[f64,f1]) ).
fof(f64,plain,
! [X0] : true = ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(sF3,t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(true,true,ifeq(c_in(X0,v_S,t_a),true,c_in(c_Pair(X0,sF4,t_a,t_a),c_Tarski_Opotype_Oorder(sF3,t_a,tc_Product__Type_Ounit),sF6),true),true),true),
inference(forward_demodulation,[],[f63,f26]) ).
fof(f26,plain,
true = c_in(sF3,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(backward_demodulation,[],[f8,f19]) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).
fof(f63,plain,
! [X0] : true = ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(sF3,t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(c_in(sF3,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(c_in(X0,v_S,t_a),true,c_in(c_Pair(X0,sF4,t_a,t_a),c_Tarski_Opotype_Oorder(sF3,t_a,tc_Product__Type_Ounit),sF6),true),true),true),
inference(forward_demodulation,[],[f62,f1]) ).
fof(f62,plain,
! [X0] : true = ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(sF3,t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(c_in(sF3,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(true,true,ifeq(c_in(X0,v_S,t_a),true,c_in(c_Pair(X0,sF4,t_a,t_a),c_Tarski_Opotype_Oorder(sF3,t_a,tc_Product__Type_Ounit),sF6),true),true),true),true),
inference(forward_demodulation,[],[f61,f27]) ).
fof(f27,plain,
true = c_in(sF3,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(backward_demodulation,[],[f9,f19]) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).
fof(f61,plain,
! [X0] : true = ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(sF3,t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(c_in(sF3,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(c_in(sF3,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(c_in(X0,v_S,t_a),true,c_in(c_Pair(X0,sF4,t_a,t_a),c_Tarski_Opotype_Oorder(sF3,t_a,tc_Product__Type_Ounit),sF6),true),true),true),true),
inference(forward_demodulation,[],[f60,f22]) ).
fof(f60,plain,
! [X0] : true = ifeq(c_lessequals(v_S,c_Tarski_Opotype_Opset(sF3,t_a,tc_Product__Type_Ounit),tc_set(t_a)),true,ifeq(c_in(sF3,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(c_in(sF3,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(c_in(X0,v_S,t_a),true,c_in(c_Pair(X0,sF4,t_a,t_a),c_Tarski_Opotype_Oorder(sF3,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),true),true),true),true),
inference(superposition,[],[f6,f20]) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OCL_Olub__upper_0) ).
fof(f95,plain,
true = ifeq(c_in(c_Pair(v_x,sF4,t_a,t_a),c_Tarski_Opotype_Oorder(sF3,t_a,tc_Product__Type_Ounit),sF6),true,sF7,true),
inference(forward_demodulation,[],[f94,f23]) ).
fof(f94,plain,
true = ifeq(c_in(c_Pair(v_x,sF4,t_a,t_a),c_Tarski_Opotype_Oorder(sF3,t_a,tc_Product__Type_Ounit),sF6),true,c_in(sF5,v_r,sF6),true),
inference(superposition,[],[f33,f21]) ).
fof(f33,plain,
! [X0,X1] : true = ifeq(c_in(c_Pair(X0,X1,t_a,t_a),c_Tarski_Opotype_Oorder(sF3,t_a,tc_Product__Type_Ounit),sF6),true,c_in(c_Pair(X1,X0,t_a,t_a),v_r,sF6),true),
inference(forward_demodulation,[],[f32,f19]) ).
fof(f32,plain,
! [X0,X1] : true = ifeq(c_in(c_Pair(X0,X1,t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),sF6),true,c_in(c_Pair(X1,X0,t_a,t_a),v_r,sF6),true),
inference(forward_demodulation,[],[f30,f22]) ).
fof(f30,plain,
! [X0,X1] : true = ifeq(c_in(c_Pair(X0,X1,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,c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)),true),
inference(superposition,[],[f7,f12]) ).
fof(f12,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_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/sandbox2/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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT268-10 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 00:21:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % (21897)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.46 % (21897)First to succeed.
% 0.19/0.46 % (21907)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.47 % (21897)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (21897)------------------------------
% 0.19/0.47 % (21897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (21897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (21897)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (21897)Memory used [KB]: 5756
% 0.19/0.47 % (21897)Time elapsed: 0.066 s
% 0.19/0.47 % (21897)Instructions burned: 9 (million)
% 0.19/0.47 % (21897)------------------------------
% 0.19/0.47 % (21897)------------------------------
% 0.19/0.47 % (21891)Success in time 0.116 s
%------------------------------------------------------------------------------