TSTP Solution File: SET830-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET830-2 : 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 : n014.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 18:25:47 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 51 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 19 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,plain,
$false,
inference(subsumption_resolution,[],[f66,f9]) ).
fof(f9,axiom,
~ c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f66,plain,
c_in(v_x,v_X,t_a),
inference(subsumption_resolution,[],[f59,f7]) ).
fof(f7,axiom,
c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f59,plain,
( ~ c_in(v_x,v_Y,t_a)
| c_in(v_x,v_X,t_a) ),
inference(resolution,[],[f55,f8]) ).
fof(f8,axiom,
c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f55,plain,
! [X5] :
( ~ c_in(X5,v_Z,t_a)
| ~ c_in(X5,v_Y,t_a)
| c_in(X5,v_X,t_a) ),
inference(resolution,[],[f51,f3]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_inter(X1,X2,X3),X3)
| ~ c_in(X0,X1,X3)
| ~ c_in(X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f51,plain,
! [X0] :
( ~ c_in(X0,c_inter(v_Z,v_Y,t_a),t_a)
| c_in(X0,v_X,t_a) ),
inference(resolution,[],[f50,f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,sF0)
| ~ c_in(X2,X0,t_a)
| c_in(X2,X1,t_a) ),
inference(superposition,[],[f4,f11]) ).
fof(f11,plain,
tc_set(t_a) = sF0,
introduced(function_definition,[]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X2,tc_set(X3))
| c_in(X0,X2,X3)
| ~ c_in(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f50,plain,
c_lessequals(c_inter(v_Z,v_Y,t_a),v_X,sF0),
inference(resolution,[],[f40,f47]) ).
fof(f47,plain,
! [X0,X1] : c_lessequals(c_inter(X0,X1,t_a),X1,sF0),
inference(superposition,[],[f45,f11]) ).
fof(f45,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)),
inference(duplicate_literal_removal,[],[f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)) ),
inference(resolution,[],[f14,f6]) ).
fof(f6,axiom,
! [X2,X3,X1] :
( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f14,plain,
! [X6,X7,X4,X5] :
( c_in(c_Main_OsubsetI__1(c_inter(X4,X5,X6),X7,X6),X5,X6)
| c_lessequals(c_inter(X4,X5,X6),X7,tc_set(X6)) ),
inference(resolution,[],[f5,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
fof(f5,axiom,
! [X2,X3,X1] :
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f40,plain,
! [X0] :
( ~ c_lessequals(c_inter(v_Z,X0,t_a),v_Y,sF0)
| c_lessequals(c_inter(v_Z,X0,t_a),v_X,sF0) ),
inference(resolution,[],[f39,f12]) ).
fof(f12,plain,
! [X4] :
( ~ c_lessequals(X4,v_Z,sF0)
| c_lessequals(X4,v_X,sF0)
| ~ c_lessequals(X4,v_Y,sF0) ),
inference(definition_folding,[],[f10,f11,f11,f11]) ).
fof(f10,axiom,
! [X4] :
( c_lessequals(X4,v_X,tc_set(t_a))
| ~ c_lessequals(X4,v_Z,tc_set(t_a))
| ~ c_lessequals(X4,v_Y,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f39,plain,
! [X0,X1] : c_lessequals(c_inter(X0,X1,t_a),X0,sF0),
inference(superposition,[],[f37,f11]) ).
fof(f37,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)),
inference(duplicate_literal_removal,[],[f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)) ),
inference(resolution,[],[f13,f6]) ).
fof(f13,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X0,X2)
| c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2)) ),
inference(resolution,[],[f5,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET830-2 : 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
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:23:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (25110)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50 % (25096)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (25096)Instruction limit reached!
% 0.20/0.50 % (25096)------------------------------
% 0.20/0.50 % (25096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (25096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (25096)Termination reason: Unknown
% 0.20/0.50 % (25096)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (25096)Memory used [KB]: 5500
% 0.20/0.50 % (25096)Time elapsed: 0.077 s
% 0.20/0.50 % (25096)Instructions burned: 7 (million)
% 0.20/0.50 % (25096)------------------------------
% 0.20/0.50 % (25096)------------------------------
% 0.20/0.52 % (25093)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (25094)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)
% 0.20/0.52 % (25103)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)
% 0.20/0.52 % (25111)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)
% 0.20/0.53 % (25114)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (25112)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)
% 0.20/0.53 % (25113)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (25095)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)
% 0.20/0.53 % (25114)First to succeed.
% 0.20/0.53 % (25091)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)
% 0.20/0.53 % (25116)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)
% 0.20/0.53 % (25089)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)
% 0.20/0.53 % (25117)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (25090)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)
% 0.20/0.53 % (25115)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)
% 0.20/0.53 % (25118)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (25090)Refutation not found, incomplete strategy% (25090)------------------------------
% 0.20/0.53 % (25090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (25090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (25090)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (25090)Memory used [KB]: 5373
% 0.20/0.53 % (25090)Time elapsed: 0.127 s
% 0.20/0.53 % (25090)------------------------------
% 0.20/0.53 % (25090)------------------------------
% 0.20/0.53 TRYING [2]
% 0.20/0.53 TRYING [3]
% 0.20/0.54 TRYING [4]
% 0.20/0.54 % (25092)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)
% 0.20/0.54 % (25105)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (25106)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 TRYING [3]
% 0.20/0.54 TRYING [4]
% 0.20/0.54 % (25107)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (25104)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54 % (25098)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (25099)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (25108)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (25114)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (25114)------------------------------
% 0.20/0.55 % (25114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (25114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (25114)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (25114)Memory used [KB]: 5373
% 0.20/0.55 % (25114)Time elapsed: 0.124 s
% 0.20/0.55 % (25114)Instructions burned: 2 (million)
% 0.20/0.55 % (25114)------------------------------
% 0.20/0.55 % (25114)------------------------------
% 0.20/0.55 % (25088)Success in time 0.189 s
%------------------------------------------------------------------------------