TSTP Solution File: LCL163-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL163-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n019.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 17:47:04 EDT 2022

% Result   : Unsatisfiable 2.48s 0.69s
% Output   : Refutation 2.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (  27 unt;   0 def)
%            Number of atoms       :   27 (  26 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1157,plain,
    $false,
    inference(trivial_inequality_removal,[],[f1156]) ).

fof(f1156,plain,
    xor(truth,and_star(xor(truth,x),xor(truth,and_star(y,xor(truth,x))))) != xor(truth,and_star(xor(truth,x),xor(truth,and_star(y,xor(truth,x))))),
    inference(forward_demodulation,[],[f1155,f11]) ).

fof(f11,axiom,
    ! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_commutativity) ).

fof(f1155,plain,
    xor(truth,and_star(xor(truth,x),xor(truth,and_star(y,xor(truth,x))))) != xor(truth,and_star(xor(truth,x),xor(truth,and_star(xor(truth,x),y)))),
    inference(forward_demodulation,[],[f1154,f52]) ).

fof(f52,plain,
    ! [X0] : xor(truth,xor(truth,X0)) = X0,
    inference(forward_demodulation,[],[f40,f24]) ).

fof(f24,plain,
    ! [X0] : xor(falsehood,X0) = X0,
    inference(superposition,[],[f9,f2]) ).

fof(f2,axiom,
    ! [X0] : xor(X0,falsehood) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f9,axiom,
    ! [X0,X1] : xor(X0,X1) = xor(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_commutativity) ).

fof(f40,plain,
    ! [X0] : xor(falsehood,X0) = xor(truth,xor(truth,X0)),
    inference(superposition,[],[f7,f3]) ).

fof(f3,axiom,
    ! [X0] : falsehood = xor(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f7,axiom,
    ! [X0,X1] : xor(X0,xor(truth,X1)) = xor(xor(X0,truth),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f1154,plain,
    xor(truth,and_star(xor(truth,x),xor(truth,and_star(y,xor(truth,x))))) != xor(truth,and_star(xor(truth,x),xor(truth,and_star(xor(truth,x),xor(truth,xor(truth,y)))))),
    inference(backward_demodulation,[],[f19,f1153]) ).

fof(f1153,plain,
    ! [X11,X12] : and_star(xor(truth,X11),xor(truth,and_star(xor(truth,X11),xor(truth,X12)))) = and_star(X12,xor(truth,and_star(X11,X12))),
    inference(forward_demodulation,[],[f1152,f2]) ).

fof(f1152,plain,
    ! [X11,X12] : and_star(X12,xor(truth,and_star(xor(X11,falsehood),X12))) = and_star(xor(truth,X11),xor(truth,and_star(xor(truth,X11),xor(truth,X12)))),
    inference(forward_demodulation,[],[f1078,f3]) ).

fof(f1078,plain,
    ! [X11,X12] : and_star(X12,xor(truth,and_star(xor(X11,xor(truth,truth)),X12))) = and_star(xor(truth,X11),xor(truth,and_star(xor(truth,X11),xor(truth,X12)))),
    inference(superposition,[],[f85,f50]) ).

fof(f50,plain,
    ! [X3,X4] : xor(X4,xor(X3,truth)) = xor(X3,xor(truth,X4)),
    inference(superposition,[],[f9,f7]) ).

fof(f85,plain,
    ! [X2,X3] : and_star(X2,xor(truth,and_star(xor(truth,X3),X2))) = and_star(X3,xor(truth,and_star(X3,xor(truth,X2)))),
    inference(superposition,[],[f23,f11]) ).

fof(f23,plain,
    ! [X0,X1] : and_star(X0,xor(truth,and_star(xor(truth,X1),X0))) = and_star(X1,xor(truth,and_star(xor(truth,X0),X1))),
    inference(forward_demodulation,[],[f22,f9]) ).

fof(f22,plain,
    ! [X0,X1] : and_star(X0,xor(truth,and_star(xor(truth,X1),X0))) = and_star(X1,xor(and_star(xor(truth,X0),X1),truth)),
    inference(forward_demodulation,[],[f21,f11]) ).

fof(f21,plain,
    ! [X0,X1] : and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(X0,xor(truth,and_star(xor(truth,X1),X0))),
    inference(forward_demodulation,[],[f20,f9]) ).

fof(f20,plain,
    ! [X0,X1] : and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(X0,xor(and_star(xor(truth,X1),X0),truth)),
    inference(forward_demodulation,[],[f8,f11]) ).

fof(f8,axiom,
    ! [X0,X1] : and_star(xor(and_star(xor(truth,X0),X1),truth),X1) = and_star(xor(and_star(xor(truth,X1),X0),truth),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f19,plain,
    xor(truth,and_star(xor(truth,x),xor(truth,and_star(y,xor(truth,x))))) != xor(truth,and_star(xor(truth,y),xor(truth,and_star(x,xor(truth,y))))),
    inference(forward_demodulation,[],[f18,f11]) ).

fof(f18,plain,
    xor(truth,and_star(xor(truth,y),xor(truth,and_star(x,xor(truth,y))))) != xor(truth,and_star(xor(truth,and_star(y,xor(truth,x))),xor(truth,x))),
    inference(backward_demodulation,[],[f16,f11]) ).

fof(f16,plain,
    xor(truth,and_star(xor(truth,and_star(y,xor(truth,x))),xor(truth,x))) != xor(truth,and_star(xor(truth,and_star(x,xor(truth,y))),xor(truth,y))),
    inference(definition_unfolding,[],[f14,f13,f13,f13,f13]) ).

fof(f13,axiom,
    ! [X0,X1] : implies(X0,X1) = xor(truth,and_star(X0,xor(truth,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).

fof(f14,axiom,
    implies(implies(x,y),y) != implies(implies(y,x),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_axiom) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL163-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % 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 : n019.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 01:42:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.54  % (5038)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)
% 1.49/0.55  % (5046)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)
% 1.49/0.55  % (5039)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.49/0.55  % (5047)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)
% 1.49/0.56  % (5055)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)
% 1.49/0.56  % (5054)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)
% 1.49/0.56  % (5039)Instruction limit reached!
% 1.49/0.56  % (5039)------------------------------
% 1.49/0.56  % (5039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56  % (5039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56  % (5039)Termination reason: Unknown
% 1.49/0.56  % (5039)Termination phase: Saturation
% 1.49/0.56  
% 1.49/0.57  % (5039)Memory used [KB]: 5500
% 1.49/0.57  % (5039)Time elapsed: 0.127 s
% 1.49/0.57  % (5039)Instructions burned: 7 (million)
% 1.49/0.57  % (5039)------------------------------
% 1.49/0.57  % (5039)------------------------------
% 1.49/0.57  TRYING [1]
% 1.49/0.57  TRYING [2]
% 1.49/0.57  TRYING [3]
% 1.74/0.57  TRYING [4]
% 1.74/0.60  % (5049)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.74/0.60  % (5034)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)
% 1.74/0.60  % (5037)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)
% 1.74/0.60  % (5035)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)
% 1.74/0.60  % (5036)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.74/0.61  % (5041)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)
% 1.74/0.61  % (5050)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.74/0.61  % (5053)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.74/0.61  % (5051)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)
% 1.74/0.61  % (5052)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)
% 1.74/0.61  % (5032)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)
% 1.74/0.61  % (5042)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.74/0.61  % (5061)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)
% 1.74/0.62  % (5043)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)
% 1.74/0.62  % (5060)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.74/0.62  % (5057)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.74/0.62  % (5045)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.74/0.62  % (5059)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)
% 1.74/0.62  % (5044)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.74/0.62  TRYING [1]
% 1.74/0.62  TRYING [2]
% 1.74/0.62  TRYING [3]
% 1.74/0.63  % (5058)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)
% 1.74/0.63  % (5040)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.74/0.63  % (5040)Instruction limit reached!
% 1.74/0.63  % (5040)------------------------------
% 1.74/0.63  % (5040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.63  % (5040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.63  % (5040)Termination reason: Unknown
% 1.74/0.63  % (5040)Termination phase: Saturation
% 1.74/0.63  
% 1.74/0.63  % (5040)Memory used [KB]: 895
% 1.74/0.63  % (5040)Time elapsed: 0.003 s
% 1.74/0.63  % (5040)Instructions burned: 2 (million)
% 1.74/0.63  % (5040)------------------------------
% 1.74/0.63  % (5040)------------------------------
% 1.74/0.63  TRYING [1]
% 1.74/0.63  TRYING [2]
% 1.74/0.63  TRYING [3]
% 1.74/0.64  % (5033)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)
% 1.74/0.64  % (5038)Instruction limit reached!
% 1.74/0.64  % (5038)------------------------------
% 1.74/0.64  % (5038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.64  % (5038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.64  % (5038)Termination reason: Unknown
% 1.74/0.64  % (5038)Termination phase: Finite model building SAT solving
% 1.74/0.64  
% 1.74/0.64  % (5038)Memory used [KB]: 7547
% 1.74/0.64  % (5038)Time elapsed: 0.176 s
% 1.74/0.64  % (5038)Instructions burned: 51 (million)
% 1.74/0.64  % (5038)------------------------------
% 1.74/0.64  % (5038)------------------------------
% 1.74/0.64  % (5048)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)
% 2.29/0.64  % (5056)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.29/0.65  TRYING [4]
% 2.29/0.66  % (5046)Instruction limit reached!
% 2.29/0.66  % (5046)------------------------------
% 2.29/0.66  % (5046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.67  % (5046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.67  % (5046)Termination reason: Unknown
% 2.29/0.67  % (5046)Termination phase: Saturation
% 2.29/0.67  
% 2.29/0.67  % (5046)Memory used [KB]: 6652
% 2.29/0.67  % (5046)Time elapsed: 0.061 s
% 2.29/0.67  % (5046)Instructions burned: 69 (million)
% 2.29/0.67  % (5046)------------------------------
% 2.29/0.67  % (5046)------------------------------
% 2.29/0.67  TRYING [4]
% 2.48/0.68  % (5034)Instruction limit reached!
% 2.48/0.68  % (5034)------------------------------
% 2.48/0.68  % (5034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.68  % (5034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.68  % (5034)Termination reason: Unknown
% 2.48/0.68  % (5034)Termination phase: Saturation
% 2.48/0.68  
% 2.48/0.68  % (5034)Memory used [KB]: 1535
% 2.48/0.68  % (5034)Time elapsed: 0.243 s
% 2.48/0.68  % (5034)Instructions burned: 37 (million)
% 2.48/0.68  % (5034)------------------------------
% 2.48/0.68  % (5034)------------------------------
% 2.48/0.68  % (5055)First to succeed.
% 2.48/0.69  % (5055)Refutation found. Thanks to Tanya!
% 2.48/0.69  % SZS status Unsatisfiable for theBenchmark
% 2.48/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 2.48/0.69  % (5055)------------------------------
% 2.48/0.69  % (5055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.69  % (5055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.69  % (5055)Termination reason: Refutation
% 2.48/0.69  
% 2.48/0.69  % (5055)Memory used [KB]: 6140
% 2.48/0.69  % (5055)Time elapsed: 0.252 s
% 2.48/0.69  % (5055)Instructions burned: 65 (million)
% 2.48/0.69  % (5055)------------------------------
% 2.48/0.69  % (5055)------------------------------
% 2.48/0.69  % (5031)Success in time 0.337 s
%------------------------------------------------------------------------------