TSTP Solution File: SET821-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET821-2 : 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 : n011.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 18:25:45 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 39 ( 8 unt; 0 def)
% Number of atoms : 82 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 35 ~; 39 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f36,f45,f59,f77]) ).
fof(f77,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f73,f70]) ).
fof(f70,plain,
( ! [X1] : ~ c_in(v_a,X1,tc_IntDef_Oint)
| ~ spl0_3 ),
inference(resolution,[],[f66,f4]) ).
fof(f4,axiom,
! [X0,X6,X4,X5] :
( c_in(X4,c_insert(X6,X5,X0),X0)
| ~ c_in(X4,X5,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f66,plain,
( ! [X2] : ~ c_in(v_a,c_insert(v_c,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ spl0_3 ),
inference(resolution,[],[f63,f5]) ).
fof(f5,axiom,
! [X0,X1,X5] : c_in(X1,c_insert(X1,X5,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f63,plain,
( ! [X0] :
( ~ c_in(v_c,X0,tc_IntDef_Oint)
| ~ c_in(v_a,X0,tc_IntDef_Oint) )
| ~ spl0_3 ),
inference(resolution,[],[f60,f2]) ).
fof(f2,axiom,
! [X2,X3,X0] :
( ~ c_in(X2,c_uminus(X3,tc_set(X0)),X0)
| ~ c_in(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
fof(f60,plain,
( ! [X0] :
( c_in(v_c,c_uminus(X0,tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)
| ~ c_in(v_a,X0,tc_IntDef_Oint) )
| ~ spl0_3 ),
inference(resolution,[],[f40,f2]) ).
fof(f40,plain,
( ! [X0] :
( c_in(v_a,X0,tc_IntDef_Oint)
| c_in(v_c,X0,tc_IntDef_Oint) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl0_3
<=> ! [X0] :
( c_in(v_c,X0,tc_IntDef_Oint)
| c_in(v_a,X0,tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f73,plain,
( ! [X1] : c_in(v_a,X1,tc_IntDef_Oint)
| ~ spl0_3 ),
inference(resolution,[],[f70,f3]) ).
fof(f3,axiom,
! [X2,X3,X0] :
( c_in(X2,c_uminus(X3,tc_set(X0)),X0)
| c_in(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OComplI_0) ).
fof(f59,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f58]) ).
fof(f58,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f57,f10]) ).
fof(f10,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f57,plain,
( ~ class_Orderings_Oorder(tc_IntDef_Oint)
| ~ spl0_4 ),
inference(resolution,[],[f51,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ c_less(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f51,plain,
( c_less(v_c,v_c,tc_IntDef_Oint)
| ~ spl0_4 ),
inference(backward_demodulation,[],[f8,f44]) ).
fof(f44,plain,
( v_b = v_c
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl0_4
<=> v_b = v_c ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f8,axiom,
c_less(v_b,v_c,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f45,plain,
( spl0_3
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f37,f19,f42,f39]) ).
fof(f19,plain,
( spl0_1
<=> ! [X0] :
( c_in(v_a,X0,tc_IntDef_Oint)
| c_in(v_c,c_insert(v_b,X0,tc_IntDef_Oint),tc_IntDef_Oint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f37,plain,
( ! [X0] :
( v_b = v_c
| c_in(v_c,X0,tc_IntDef_Oint)
| c_in(v_a,X0,tc_IntDef_Oint) )
| ~ spl0_1 ),
inference(resolution,[],[f20,f6]) ).
fof(f6,axiom,
! [X3,X0,X6,X4] :
( ~ c_in(X4,c_insert(X6,X3,X0),X0)
| X4 = X6
| c_in(X4,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f20,plain,
( ! [X0] :
( c_in(v_c,c_insert(v_b,X0,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_a,X0,tc_IntDef_Oint) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f36,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f35]) ).
fof(f35,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f34,f10]) ).
fof(f34,plain,
( ~ class_Orderings_Oorder(tc_IntDef_Oint)
| ~ spl0_2 ),
inference(resolution,[],[f28,f1]) ).
fof(f28,plain,
( c_less(v_a,v_a,tc_IntDef_Oint)
| ~ spl0_2 ),
inference(backward_demodulation,[],[f7,f24]) ).
fof(f24,plain,
( v_a = v_b
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl0_2
<=> v_a = v_b ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f7,axiom,
c_less(v_a,v_b,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f25,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f22,f19]) ).
fof(f17,plain,
! [X0] :
( v_a = v_b
| c_in(v_a,X0,tc_IntDef_Oint)
| c_in(v_c,c_insert(v_b,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(resolution,[],[f12,f6]) ).
fof(f12,plain,
! [X0] :
( c_in(v_a,c_insert(v_b,X0,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_c,c_insert(v_b,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(resolution,[],[f9,f5]) ).
fof(f9,axiom,
! [X7] :
( ~ c_in(v_b,X7,tc_IntDef_Oint)
| c_in(v_c,X7,tc_IntDef_Oint)
| c_in(v_a,X7,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET821-2 : 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
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:26:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (31741)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.48 TRYING [1]
% 0.20/0.48 TRYING [2]
% 0.20/0.48 TRYING [3]
% 0.20/0.48 TRYING [4]
% 0.20/0.49 % (31749)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49 % (31748)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 TRYING [5]
% 0.20/0.49 % (31748)First to succeed.
% 0.20/0.49 % (31749)Instruction limit reached!
% 0.20/0.49 % (31749)------------------------------
% 0.20/0.49 % (31749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (31749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (31749)Termination reason: Unknown
% 0.20/0.49 % (31749)Termination phase: Saturation
% 0.20/0.50 % (31748)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 % (31748)------------------------------
% 0.20/0.50 % (31748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (31748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (31748)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (31748)Memory used [KB]: 5373
% 0.20/0.50 % (31748)Time elapsed: 0.093 s
% 0.20/0.50 % (31748)Instructions burned: 5 (million)
% 0.20/0.50 % (31748)------------------------------
% 0.20/0.50 % (31748)------------------------------
% 0.20/0.50 % (31740)Success in time 0.14 s
%------------------------------------------------------------------------------