TSTP Solution File: PUZ131-10 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PUZ131-10 : TPTP v8.1.0. Released v7.5.0.
% 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 : n026.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 18:12:09 EDT 2022

% Result   : Unsatisfiable 1.87s 0.60s
% Output   : Refutation 1.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (  26 unt;   0 def)
%            Number of atoms       :   26 (  25 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-4 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f300,plain,
    $false,
    inference(subsumption_resolution,[],[f298,f23]) ).

fof(f23,plain,
    true != sF0,
    inference(definition_folding,[],[f21,f22]) ).

fof(f22,plain,
    taughtby(michael,victor) = sF0,
    introduced(function_definition,[]) ).

fof(f21,axiom,
    true != taughtby(michael,victor),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',teaching_conjecture) ).

fof(f298,plain,
    true = sF0,
    inference(superposition,[],[f267,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).

fof(f267,plain,
    true = ifeq(true,true,sF0,true),
    inference(forward_demodulation,[],[f266,f172]) ).

fof(f172,plain,
    true = teaches(victor,csc410),
    inference(superposition,[],[f104,f1]) ).

fof(f104,plain,
    true = ifeq(true,true,teaches(victor,csc410),true),
    inference(forward_demodulation,[],[f103,f7]) ).

fof(f7,axiom,
    true = course(csc410),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',csc410_type) ).

fof(f103,plain,
    true = ifeq(course(csc410),true,teaches(victor,csc410),true),
    inference(superposition,[],[f17,f20]) ).

fof(f20,axiom,
    victor = coordinatorof(csc410),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_coordinator_csc410_axiom) ).

fof(f17,axiom,
    ! [X3] : true = ifeq(course(X3),true,teaches(coordinatorof(X3),X3),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_teaches) ).

fof(f266,plain,
    true = ifeq(teaches(victor,csc410),true,sF0,true),
    inference(forward_demodulation,[],[f265,f1]) ).

fof(f265,plain,
    true = ifeq(teaches(victor,csc410),true,ifeq(true,true,sF0,true),true),
    inference(forward_demodulation,[],[f259,f6]) ).

fof(f6,axiom,
    true = professor(victor),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_type) ).

fof(f259,plain,
    true = ifeq(teaches(victor,csc410),true,ifeq(professor(victor),true,sF0,true),true),
    inference(superposition,[],[f152,f22]) ).

fof(f152,plain,
    ! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(professor(X0),true,taughtby(michael,X0),true),true),
    inference(forward_demodulation,[],[f151,f1]) ).

fof(f151,plain,
    ! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(true,true,ifeq(professor(X0),true,taughtby(michael,X0),true),true),true),
    inference(forward_demodulation,[],[f150,f7]) ).

fof(f150,plain,
    ! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(course(csc410),true,ifeq(professor(X0),true,taughtby(michael,X0),true),true),true),
    inference(forward_demodulation,[],[f149,f1]) ).

fof(f149,plain,
    ! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(course(csc410),true,ifeq(professor(X0),true,ifeq(true,true,taughtby(michael,X0),true),true),true),true),
    inference(forward_demodulation,[],[f148,f5]) ).

fof(f5,axiom,
    true = student(michael),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_type) ).

fof(f148,plain,
    ! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(course(csc410),true,ifeq(professor(X0),true,ifeq(student(michael),true,taughtby(michael,X0),true),true),true),true),
    inference(forward_demodulation,[],[f117,f1]) ).

fof(f117,plain,
    ! [X0] : true = ifeq(teaches(X0,csc410),true,ifeq(true,true,ifeq(course(csc410),true,ifeq(professor(X0),true,ifeq(student(michael),true,taughtby(michael,X0),true),true),true),true),true),
    inference(superposition,[],[f18,f19]) ).

fof(f19,axiom,
    true = enrolled(michael,csc410),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_enrolled_csc410_axiom) ).

fof(f18,axiom,
    ! [X3,X4,X5] : true = ifeq(teaches(X4,X5),true,ifeq(enrolled(X3,X5),true,ifeq(course(X5),true,ifeq(professor(X4),true,ifeq(student(X3),true,taughtby(X3,X4),true),true),true),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_taught) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : PUZ131-10 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n026.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 11:08:51 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.56  % (10374)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)
% 0.19/0.56  % (10368)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.56  % (10382)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)
% 0.19/0.56  % (10375)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)
% 0.19/0.56  % (10366)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)
% 0.19/0.56  % (10367)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.57  % (10368)Instruction limit reached!
% 0.19/0.57  % (10368)------------------------------
% 0.19/0.57  % (10368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (10368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (10368)Termination reason: Unknown
% 0.19/0.57  % (10368)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (10368)Memory used [KB]: 5373
% 0.19/0.57  % (10376)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)
% 0.19/0.57  % (10368)Time elapsed: 0.140 s
% 0.19/0.57  % (10368)Instructions burned: 2 (million)
% 0.19/0.57  % (10368)------------------------------
% 0.19/0.57  % (10368)------------------------------
% 0.19/0.57  % (10367)Instruction limit reached!
% 0.19/0.57  % (10367)------------------------------
% 0.19/0.57  % (10367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (10367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (10367)Termination reason: Unknown
% 0.19/0.57  % (10367)Termination phase: Saturation
% 0.19/0.57  
% 0.19/0.57  % (10367)Memory used [KB]: 5500
% 0.19/0.57  % (10367)Time elapsed: 0.142 s
% 0.19/0.57  % (10367)Instructions burned: 9 (million)
% 0.19/0.57  % (10367)------------------------------
% 0.19/0.57  % (10367)------------------------------
% 1.69/0.57  TRYING [1]
% 1.69/0.57  % (10384)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.69/0.58  % (10383)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)
% 1.69/0.58  % (10378)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.69/0.58  % (10380)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.69/0.59  TRYING [2]
% 1.69/0.59  % (10369)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)
% 1.69/0.59  % (10362)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)
% 1.69/0.59  % (10379)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)
% 1.69/0.59  TRYING [3]
% 1.69/0.59  % (10372)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.69/0.59  % (10371)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.69/0.59  % (10386)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)
% 1.87/0.59  % (10361)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)
% 1.87/0.59  % (10360)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)
% 1.87/0.59  % (10388)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.87/0.60  TRYING [1]
% 1.87/0.60  % (10370)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.87/0.60  TRYING [2]
% 1.87/0.60  % (10375)First to succeed.
% 1.87/0.60  % (10363)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)
% 1.87/0.60  % (10375)Refutation found. Thanks to Tanya!
% 1.87/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.87/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.87/0.60  % (10375)------------------------------
% 1.87/0.60  % (10375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.60  % (10375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.60  % (10375)Termination reason: Refutation
% 1.87/0.60  
% 1.87/0.60  % (10375)Memory used [KB]: 1279
% 1.87/0.60  % (10375)Time elapsed: 0.176 s
% 1.87/0.60  % (10375)Instructions burned: 17 (million)
% 1.87/0.60  % (10375)------------------------------
% 1.87/0.60  % (10375)------------------------------
% 1.87/0.60  % (10359)Success in time 0.248 s
%------------------------------------------------------------------------------