TSTP Solution File: SET821-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --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 18:22:23 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 50 ( 18 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 14 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f116,plain,
$false,
inference(unit_resulting_resolution,[],[f10,f91,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ c_less(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f91,plain,
c_less(v_a,v_a,tc_IntDef_Oint),
inference(backward_demodulation,[],[f7,f82]) ).
fof(f82,plain,
v_a = v_b,
inference(subsumption_resolution,[],[f81,f10]) ).
fof(f81,plain,
( ~ class_Orderings_Oorder(tc_IntDef_Oint)
| v_a = v_b ),
inference(resolution,[],[f58,f1]) ).
fof(f58,plain,
( c_less(v_b,v_b,tc_IntDef_Oint)
| v_a = v_b ),
inference(superposition,[],[f8,f52]) ).
fof(f52,plain,
( v_b = v_c
| v_a = v_b ),
inference(resolution,[],[f46,f5]) ).
fof(f5,axiom,
! [X0,X1,X5] : c_in(X1,c_insert(X1,X5,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f46,plain,
! [X1] :
( ~ c_in(v_a,X1,tc_IntDef_Oint)
| v_a = v_b
| v_b = v_c ),
inference(resolution,[],[f40,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/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f40,plain,
! [X4] :
( ~ c_in(v_a,c_insert(v_c,X4,tc_IntDef_Oint),tc_IntDef_Oint)
| v_a = v_b
| v_b = v_c ),
inference(resolution,[],[f30,f5]) ).
fof(f30,plain,
! [X0] :
( ~ c_in(v_c,X0,tc_IntDef_Oint)
| v_a = v_b
| v_b = v_c
| ~ c_in(v_a,X0,tc_IntDef_Oint) ),
inference(resolution,[],[f25,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/sandbox/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
fof(f25,plain,
! [X3] :
( c_in(v_a,c_uminus(X3,tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)
| v_b = v_c
| ~ c_in(v_c,X3,tc_IntDef_Oint)
| v_a = v_b ),
inference(resolution,[],[f16,f2]) ).
fof(f16,plain,
! [X0] :
( c_in(v_c,X0,tc_IntDef_Oint)
| v_b = v_c
| v_a = v_b
| c_in(v_a,X0,tc_IntDef_Oint) ),
inference(resolution,[],[f15,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/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f15,plain,
! [X2] :
( c_in(v_a,c_insert(v_b,X2,tc_IntDef_Oint),tc_IntDef_Oint)
| v_b = v_c
| c_in(v_c,X2,tc_IntDef_Oint) ),
inference(resolution,[],[f11,f5]) ).
fof(f11,plain,
! [X0,X1] :
( ~ c_in(v_b,c_insert(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_c,X1,tc_IntDef_Oint)
| c_in(v_a,c_insert(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
| v_c = X0 ),
inference(resolution,[],[f9,f6]) ).
fof(f9,axiom,
! [X7] :
( c_in(v_c,X7,tc_IntDef_Oint)
| c_in(v_a,X7,tc_IntDef_Oint)
| ~ c_in(v_b,X7,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f8,axiom,
c_less(v_b,v_c,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f7,axiom,
c_less(v_a,v_b,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f10,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET821-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n013.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 14:25:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (16573)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.50 % (16581)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.50 % (16573)Instruction limit reached!
% 0.20/0.50 % (16573)------------------------------
% 0.20/0.50 % (16573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (16573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (16573)Termination reason: Unknown
% 0.20/0.50 % (16573)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (16573)Memory used [KB]: 5884
% 0.20/0.50 % (16573)Time elapsed: 0.094 s
% 0.20/0.50 % (16573)Instructions burned: 5 (million)
% 0.20/0.50 % (16573)------------------------------
% 0.20/0.50 % (16573)------------------------------
% 0.20/0.50 % (16581)Instruction limit reached!
% 0.20/0.50 % (16581)------------------------------
% 0.20/0.50 % (16581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (16581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (16581)Termination reason: Unknown
% 0.20/0.50 % (16581)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (16581)Memory used [KB]: 1407
% 0.20/0.50 % (16581)Time elapsed: 0.096 s
% 0.20/0.50 % (16581)Instructions burned: 6 (million)
% 0.20/0.50 % (16581)------------------------------
% 0.20/0.50 % (16581)------------------------------
% 0.20/0.52 % (16562)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.52 % (16562)First to succeed.
% 0.20/0.52 % (16562)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (16562)------------------------------
% 0.20/0.52 % (16562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (16562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (16562)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (16562)Memory used [KB]: 1407
% 0.20/0.52 % (16562)Time elapsed: 0.128 s
% 0.20/0.52 % (16562)Instructions burned: 6 (million)
% 0.20/0.52 % (16562)------------------------------
% 0.20/0.52 % (16562)------------------------------
% 0.20/0.52 % (16560)Success in time 0.169 s
%------------------------------------------------------------------------------