TSTP Solution File: SET834-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET834-2 : 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 : n018.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 18:25:48 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 14 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49,plain,
$false,
inference(subsumption_resolution,[],[f48,f8]) ).
fof(f8,axiom,
~ c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f48,plain,
c_in(v_x,v_Z,t_a),
inference(subsumption_resolution,[],[f47,f9]) ).
fof(f9,axiom,
~ c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f47,plain,
( c_in(v_x,v_Y,t_a)
| c_in(v_x,v_Z,t_a) ),
inference(resolution,[],[f45,f3]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X3,X1,X2),X2)
| c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f45,plain,
c_in(v_x,c_union(v_Y,v_Z,t_a),t_a),
inference(resolution,[],[f43,f7]) ).
fof(f7,axiom,
c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f43,plain,
! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,c_union(v_Y,v_Z,t_a),t_a) ),
inference(resolution,[],[f41,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_in(X0,X3,X2)
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f41,plain,
c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a)),
inference(resolution,[],[f38,f33]) ).
fof(f33,plain,
! [X0] :
( ~ c_lessequals(v_Z,c_union(v_Y,X0,t_a),tc_set(t_a))
| c_lessequals(v_X,c_union(v_Y,X0,t_a),tc_set(t_a)) ),
inference(resolution,[],[f32,f10]) ).
fof(f10,axiom,
! [X4] :
( ~ c_lessequals(v_Y,X4,tc_set(t_a))
| c_lessequals(v_X,X4,tc_set(t_a))
| ~ c_lessequals(v_Z,X4,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f32,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2))
| c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)) ),
inference(resolution,[],[f12,f5]) ).
fof(f5,axiom,
! [X2,X3,X1] :
( c_in(c_Main_OsubsetI__1(X3,X1,X2),X3,X2)
| c_lessequals(X3,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f12,plain,
! [X2,X3,X4,X5] :
( ~ c_in(c_Main_OsubsetI__1(X2,c_union(X3,X4,X5),X5),X3,X5)
| c_lessequals(X2,c_union(X3,X4,X5),tc_set(X5)) ),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f6,axiom,
! [X2,X3,X1] :
( ~ c_in(c_Main_OsubsetI__1(X3,X1,X2),X1,X2)
| c_lessequals(X3,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f38,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2))
| c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)) ),
inference(resolution,[],[f13,f5]) ).
fof(f13,plain,
! [X8,X6,X9,X7] :
( ~ c_in(c_Main_OsubsetI__1(X6,c_union(X7,X8,X9),X9),X8,X9)
| c_lessequals(X6,c_union(X7,X8,X9),tc_set(X9)) ),
inference(resolution,[],[f6,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET834-2 : 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_sat --cores 0 -t %d %s
% 0.15/0.34 % Computer : n018.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 14:26:25 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.50 % (4712)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (4728)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.50 % (4720)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.50 % (4709)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 TRYING [1]
% 0.21/0.50 TRYING [2]
% 0.21/0.50 TRYING [3]
% 0.21/0.51 TRYING [4]
% 0.21/0.51 % (4710)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (4719)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (4724)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 TRYING [5]
% 0.21/0.52 % (4711)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.52 % (4716)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (4729)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.52 % (4730)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.52 % (4708)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)
% 0.21/0.52 % (4729)First to succeed.
% 0.21/0.53 % (4732)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.53 % (4707)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (4733)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.53 % (4706)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)
% 0.21/0.53 % (4707)Refutation not found, incomplete strategy% (4707)------------------------------
% 0.21/0.53 % (4707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (4707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (4707)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (4707)Memory used [KB]: 5373
% 0.21/0.53 % (4707)Time elapsed: 0.117 s
% 0.21/0.53 % (4707)Instructions burned: 1 (million)
% 0.21/0.53 % (4707)------------------------------
% 0.21/0.53 % (4707)------------------------------
% 0.21/0.53 TRYING [1]
% 0.21/0.53 % (4731)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.53 % (4709)Also succeeded, but the first one will report.
% 0.21/0.53 % (4729)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (4729)------------------------------
% 0.21/0.53 % (4729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (4729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (4729)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (4729)Memory used [KB]: 5373
% 0.21/0.53 % (4729)Time elapsed: 0.121 s
% 0.21/0.53 % (4729)Instructions burned: 2 (million)
% 0.21/0.53 % (4729)------------------------------
% 0.21/0.53 % (4729)------------------------------
% 0.21/0.53 % (4705)Success in time 0.178 s
%------------------------------------------------------------------------------