TSTP Solution File: SET860-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET860-2 : 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 : n008.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 18:22:35 EDT 2022
% Result : Unsatisfiable 0.14s 0.50s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,plain,
$false,
inference(unit_resulting_resolution,[],[f27,f46,f78,f21]) ).
fof(f21,axiom,
! [X2,X3,X1,X4] :
( ~ c_lessequals(X2,X4,tc_set(X3))
| ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f78,plain,
c_lessequals(v_B,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),tc_set(t_a)),
inference(subsumption_resolution,[],[f77,f26]) ).
fof(f26,plain,
c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Union(v_C,t_a),t_a),
inference(resolution,[],[f22,f1]) ).
fof(f1,axiom,
~ c_lessequals(c_Union(v_C,t_a),v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f22,axiom,
! [X2,X3,X4] :
( c_lessequals(X2,X4,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X2,X4,X3),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f77,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Union(v_C,t_a),t_a)
| c_lessequals(v_B,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),tc_set(t_a)) ),
inference(resolution,[],[f40,f15]) ).
fof(f15,axiom,
! [X2,X3,X6] :
( c_in(X2,c_Main_OUnionE__1(X2,X6,X3),X3)
| ~ c_in(X2,c_Union(X6,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).
fof(f40,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a)
| c_lessequals(v_B,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),tc_set(t_a)) ),
inference(resolution,[],[f37,f28]) ).
fof(f28,plain,
~ c_in(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_A,t_a),
inference(resolution,[],[f23,f1]) ).
fof(f23,axiom,
! [X2,X3,X4] :
( c_lessequals(X2,X4,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X2,X4,X3),X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f37,plain,
! [X0] :
( c_in(X0,v_A,t_a)
| ~ c_in(X0,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a)
| c_lessequals(v_B,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),tc_set(t_a)) ),
inference(resolution,[],[f35,f21]) ).
fof(f35,plain,
( c_lessequals(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_A,tc_set(t_a))
| c_lessequals(v_B,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),tc_set(t_a)) ),
inference(resolution,[],[f34,f3]) ).
fof(f3,axiom,
! [X0] :
( ~ c_in(X0,v_C,tc_set(t_a))
| c_lessequals(v_B,X0,tc_set(t_a))
| c_lessequals(X0,v_A,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f34,plain,
c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),v_C,tc_set(t_a)),
inference(resolution,[],[f14,f26]) ).
fof(f14,axiom,
! [X2,X3,X6] :
( ~ c_in(X2,c_Union(X6,X3),X3)
| c_in(c_Main_OUnionE__1(X2,X6,X3),X6,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).
fof(f46,plain,
~ c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_C,t_a),v_A,t_a),v_C,t_a),t_a),
inference(resolution,[],[f45,f34]) ).
fof(f45,plain,
! [X4] :
( ~ c_in(X4,v_C,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),X4,t_a) ),
inference(resolution,[],[f16,f29]) ).
fof(f29,plain,
~ c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),c_Union(v_C,t_a),t_a),
inference(resolution,[],[f23,f2]) ).
fof(f2,axiom,
~ c_lessequals(v_B,c_Union(v_C,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f16,axiom,
! [X2,X3,X6,X7] :
( c_in(X2,c_Union(X6,X3),X3)
| ~ c_in(X2,X7,X3)
| ~ c_in(X7,X6,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionI_0) ).
fof(f27,plain,
c_in(c_Main_OsubsetI__1(v_B,c_Union(v_C,t_a),t_a),v_B,t_a),
inference(resolution,[],[f22,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : SET860-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.29 % Computer : n008.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Aug 30 14:30:25 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.44 % (6566)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.14/0.46 % (6583)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.46 % (6575)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.47 TRYING [1]
% 0.14/0.47 % (6582)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.14/0.47 TRYING [2]
% 0.14/0.47 % (6567)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.47 % (6575)Instruction limit reached!
% 0.14/0.47 % (6575)------------------------------
% 0.14/0.47 % (6575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (6575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (6575)Termination reason: Unknown
% 0.14/0.48 % (6575)Termination phase: Finite model building SAT solving
% 0.14/0.48
% 0.14/0.48 % (6575)Memory used [KB]: 6140
% 0.14/0.48 % (6575)Time elapsed: 0.064 s
% 0.14/0.48 % (6575)Instructions burned: 8 (million)
% 0.14/0.48 % (6575)------------------------------
% 0.14/0.48 % (6575)------------------------------
% 0.14/0.48 % (6574)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.14/0.48 % (6567)Refutation not found, incomplete strategy% (6567)------------------------------
% 0.14/0.48 % (6567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (6567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48 % (6567)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.48
% 0.14/0.48 % (6567)Memory used [KB]: 5884
% 0.14/0.48 % (6567)Time elapsed: 0.075 s
% 0.14/0.48 % (6567)Instructions burned: 5 (million)
% 0.14/0.48 % (6567)------------------------------
% 0.14/0.48 % (6567)------------------------------
% 0.14/0.49 % (6574)First to succeed.
% 0.14/0.49 % (6561)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)
% 0.14/0.49 % (6563)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.14/0.49 % (6583)Also succeeded, but the first one will report.
% 0.14/0.50 % (6574)Refutation found. Thanks to Tanya!
% 0.14/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.50 % (6574)------------------------------
% 0.14/0.50 % (6574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (6574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (6574)Termination reason: Refutation
% 0.14/0.50
% 0.14/0.50 % (6574)Memory used [KB]: 1407
% 0.14/0.50 % (6574)Time elapsed: 0.125 s
% 0.14/0.50 % (6574)Instructions burned: 7 (million)
% 0.14/0.50 % (6574)------------------------------
% 0.14/0.50 % (6574)------------------------------
% 0.14/0.50 % (6559)Success in time 0.199 s
%------------------------------------------------------------------------------