TSTP Solution File: ALG030-10 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG030-10 : TPTP v8.1.0. Released v7.3.0.
% 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 : n007.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 15:42:04 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-4 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f892,plain,
$false,
inference(subsumption_resolution,[],[f891,f5]) ).
fof(f5,axiom,
op1(sK2_ax3_U,sK1_ax3_V) != op1(sK1_ax3_V,sK2_ax3_U),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_2) ).
fof(f891,plain,
op1(sK2_ax3_U,sK1_ax3_V) = op1(sK1_ax3_V,sK2_ax3_U),
inference(forward_demodulation,[],[f890,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f890,plain,
op1(sK1_ax3_V,sK2_ax3_U) = ifeq2(true,true,op1(sK2_ax3_U,sK1_ax3_V),op1(sK1_ax3_V,sK2_ax3_U)),
inference(backward_demodulation,[],[f818,f881]) ).
fof(f881,plain,
true = sorti1(op1(sK1_ax3_V,sK2_ax3_U)),
inference(superposition,[],[f2,f274]) ).
fof(f274,plain,
true = ifeq(true,true,sorti1(op1(sK1_ax3_V,sK2_ax3_U)),true),
inference(superposition,[],[f78,f7]) ).
fof(f7,axiom,
true = sorti1(sK2_ax3_U),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f78,plain,
! [X0] : true = ifeq(sorti1(X0),true,sorti1(op1(sK1_ax3_V,X0)),true),
inference(forward_demodulation,[],[f75,f2]) ).
fof(f75,plain,
! [X0] : true = ifeq(sorti1(X0),true,ifeq(true,true,sorti1(op1(sK1_ax3_V,X0)),true),true),
inference(superposition,[],[f3,f6]) ).
fof(f6,axiom,
true = sorti1(sK1_ax3_V),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_1) ).
fof(f3,axiom,
! [X3,X4] : true = ifeq(sorti1(X3),true,ifeq(sorti1(X4),true,sorti1(op1(X4,X3)),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f818,plain,
op1(sK1_ax3_V,sK2_ax3_U) = ifeq2(sorti1(op1(sK1_ax3_V,sK2_ax3_U)),true,op1(sK2_ax3_U,sK1_ax3_V),op1(sK1_ax3_V,sK2_ax3_U)),
inference(forward_demodulation,[],[f809,f678]) ).
fof(f678,plain,
op1(sK2_ax3_U,sK1_ax3_V) = j(h(op1(sK2_ax3_U,sK1_ax3_V))),
inference(forward_demodulation,[],[f677,f1]) ).
fof(f677,plain,
ifeq2(true,true,op1(sK2_ax3_U,sK1_ax3_V),j(h(op1(sK2_ax3_U,sK1_ax3_V)))) = j(h(op1(sK2_ax3_U,sK1_ax3_V))),
inference(forward_demodulation,[],[f676,f45]) ).
fof(f45,plain,
true = sorti2(h(sK1_ax3_V)),
inference(superposition,[],[f2,f16]) ).
fof(f16,plain,
true = ifeq(true,true,sorti2(h(sK1_ax3_V)),true),
inference(superposition,[],[f9,f6]) ).
fof(f9,axiom,
! [X4] : true = ifeq(sorti1(X4),true,sorti2(h(X4)),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f676,plain,
ifeq2(sorti2(h(sK1_ax3_V)),true,op1(sK2_ax3_U,sK1_ax3_V),j(h(op1(sK2_ax3_U,sK1_ax3_V)))) = j(h(op1(sK2_ax3_U,sK1_ax3_V))),
inference(forward_demodulation,[],[f675,f1]) ).
fof(f675,plain,
j(h(op1(sK2_ax3_U,sK1_ax3_V))) = ifeq2(sorti2(h(sK1_ax3_V)),true,ifeq2(true,true,op1(sK2_ax3_U,sK1_ax3_V),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),
inference(forward_demodulation,[],[f674,f66]) ).
fof(f66,plain,
true = sorti2(h(sK2_ax3_U)),
inference(superposition,[],[f2,f18]) ).
fof(f18,plain,
true = ifeq(true,true,sorti2(h(sK2_ax3_U)),true),
inference(superposition,[],[f9,f7]) ).
fof(f674,plain,
ifeq2(sorti2(h(sK1_ax3_V)),true,ifeq2(sorti2(h(sK2_ax3_U)),true,op1(sK2_ax3_U,sK1_ax3_V),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))) = j(h(op1(sK2_ax3_U,sK1_ax3_V))),
inference(forward_demodulation,[],[f673,f27]) ).
fof(f27,plain,
sK2_ax3_U = j(h(sK2_ax3_U)),
inference(superposition,[],[f17,f1]) ).
fof(f17,plain,
sK2_ax3_U = ifeq2(true,true,j(h(sK2_ax3_U)),sK2_ax3_U),
inference(superposition,[],[f11,f7]) ).
fof(f11,axiom,
! [X7] : ifeq2(sorti1(X7),true,j(h(X7)),X7) = X7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f673,plain,
ifeq2(sorti2(h(sK1_ax3_V)),true,ifeq2(sorti2(h(sK2_ax3_U)),true,op1(j(h(sK2_ax3_U)),sK1_ax3_V),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))) = j(h(op1(sK2_ax3_U,sK1_ax3_V))),
inference(forward_demodulation,[],[f665,f28]) ).
fof(f28,plain,
sK1_ax3_V = j(h(sK1_ax3_V)),
inference(superposition,[],[f15,f1]) ).
fof(f15,plain,
sK1_ax3_V = ifeq2(true,true,j(h(sK1_ax3_V)),sK1_ax3_V),
inference(superposition,[],[f11,f6]) ).
fof(f665,plain,
ifeq2(sorti2(h(sK1_ax3_V)),true,ifeq2(sorti2(h(sK2_ax3_U)),true,op1(j(h(sK2_ax3_U)),j(h(sK1_ax3_V))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))),j(h(op1(sK2_ax3_U,sK1_ax3_V)))) = j(h(op1(sK2_ax3_U,sK1_ax3_V))),
inference(superposition,[],[f13,f364]) ).
fof(f364,plain,
op2(h(sK2_ax3_U),h(sK1_ax3_V)) = h(op1(sK2_ax3_U,sK1_ax3_V)),
inference(superposition,[],[f1,f111]) ).
fof(f111,plain,
ifeq2(true,true,op2(h(sK2_ax3_U),h(sK1_ax3_V)),h(op1(sK2_ax3_U,sK1_ax3_V))) = h(op1(sK2_ax3_U,sK1_ax3_V)),
inference(superposition,[],[f23,f6]) ).
fof(f23,plain,
! [X1] : h(op1(sK2_ax3_U,X1)) = ifeq2(sorti1(X1),true,op2(h(sK2_ax3_U),h(X1)),h(op1(sK2_ax3_U,X1))),
inference(forward_demodulation,[],[f22,f1]) ).
fof(f22,plain,
! [X1] : ifeq2(sorti1(X1),true,ifeq2(true,true,op2(h(sK2_ax3_U),h(X1)),h(op1(sK2_ax3_U,X1))),h(op1(sK2_ax3_U,X1))) = h(op1(sK2_ax3_U,X1)),
inference(superposition,[],[f10,f7]) ).
fof(f10,axiom,
! [X6,X5] : h(op1(X6,X5)) = ifeq2(sorti1(X5),true,ifeq2(sorti1(X6),true,op2(h(X6),h(X5)),h(op1(X6,X5))),h(op1(X6,X5))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f13,axiom,
! [X8,X9] : j(op2(X9,X8)) = ifeq2(sorti2(X8),true,ifeq2(sorti2(X9),true,op1(j(X9),j(X8)),j(op2(X9,X8))),j(op2(X9,X8))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f809,plain,
op1(sK1_ax3_V,sK2_ax3_U) = ifeq2(sorti1(op1(sK1_ax3_V,sK2_ax3_U)),true,j(h(op1(sK2_ax3_U,sK1_ax3_V))),op1(sK1_ax3_V,sK2_ax3_U)),
inference(superposition,[],[f11,f703]) ).
fof(f703,plain,
h(op1(sK2_ax3_U,sK1_ax3_V)) = h(op1(sK1_ax3_V,sK2_ax3_U)),
inference(forward_demodulation,[],[f702,f1]) ).
fof(f702,plain,
ifeq2(true,true,h(op1(sK2_ax3_U,sK1_ax3_V)),h(op1(sK1_ax3_V,sK2_ax3_U))) = h(op1(sK1_ax3_V,sK2_ax3_U)),
inference(forward_demodulation,[],[f701,f45]) ).
fof(f701,plain,
ifeq2(sorti2(h(sK1_ax3_V)),true,h(op1(sK2_ax3_U,sK1_ax3_V)),h(op1(sK1_ax3_V,sK2_ax3_U))) = h(op1(sK1_ax3_V,sK2_ax3_U)),
inference(forward_demodulation,[],[f700,f1]) ).
fof(f700,plain,
h(op1(sK1_ax3_V,sK2_ax3_U)) = ifeq2(sorti2(h(sK1_ax3_V)),true,ifeq2(true,true,h(op1(sK2_ax3_U,sK1_ax3_V)),h(op1(sK1_ax3_V,sK2_ax3_U))),h(op1(sK1_ax3_V,sK2_ax3_U))),
inference(forward_demodulation,[],[f699,f66]) ).
fof(f699,plain,
h(op1(sK1_ax3_V,sK2_ax3_U)) = ifeq2(sorti2(h(sK1_ax3_V)),true,ifeq2(sorti2(h(sK2_ax3_U)),true,h(op1(sK2_ax3_U,sK1_ax3_V)),h(op1(sK1_ax3_V,sK2_ax3_U))),h(op1(sK1_ax3_V,sK2_ax3_U))),
inference(forward_demodulation,[],[f663,f465]) ).
fof(f465,plain,
op2(h(sK1_ax3_V),h(sK2_ax3_U)) = h(op1(sK1_ax3_V,sK2_ax3_U)),
inference(superposition,[],[f119,f1]) ).
fof(f119,plain,
h(op1(sK1_ax3_V,sK2_ax3_U)) = ifeq2(true,true,op2(h(sK1_ax3_V),h(sK2_ax3_U)),h(op1(sK1_ax3_V,sK2_ax3_U))),
inference(superposition,[],[f24,f7]) ).
fof(f24,plain,
! [X0] : h(op1(sK1_ax3_V,X0)) = ifeq2(sorti1(X0),true,op2(h(sK1_ax3_V),h(X0)),h(op1(sK1_ax3_V,X0))),
inference(forward_demodulation,[],[f21,f1]) ).
fof(f21,plain,
! [X0] : h(op1(sK1_ax3_V,X0)) = ifeq2(sorti1(X0),true,ifeq2(true,true,op2(h(sK1_ax3_V),h(X0)),h(op1(sK1_ax3_V,X0))),h(op1(sK1_ax3_V,X0))),
inference(superposition,[],[f10,f6]) ).
fof(f663,plain,
op2(h(sK1_ax3_V),h(sK2_ax3_U)) = ifeq2(sorti2(h(sK1_ax3_V)),true,ifeq2(sorti2(h(sK2_ax3_U)),true,h(op1(sK2_ax3_U,sK1_ax3_V)),op2(h(sK1_ax3_V),h(sK2_ax3_U))),op2(h(sK1_ax3_V),h(sK2_ax3_U))),
inference(superposition,[],[f8,f364]) ).
fof(f8,axiom,
! [X3,X4] : op2(X3,X4) = ifeq2(sorti2(X3),true,ifeq2(sorti2(X4),true,op2(X4,X3),op2(X3,X4)),op2(X3,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG030-10 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.13 % 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 : n007.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 : Mon Aug 29 14:36:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (13134)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)
% 0.20/0.48 TRYING [1]
% 0.20/0.48 % (13149)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)
% 0.20/0.48 TRYING [2]
% 0.20/0.49 TRYING [3]
% 0.20/0.51 % (13138)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 % (13153)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)
% 0.20/0.52 % (13145)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)
% 0.20/0.52 % (13135)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 % (13161)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 % (13148)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 % (13156)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 % (13163)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 % (13141)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 TRYING [4]
% 0.20/0.53 % (13139)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)
% 0.20/0.53 % (13158)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 % (13140)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)
% 0.20/0.54 % (13157)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)
% 0.20/0.54 % (13150)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 % (13149)First to succeed.
% 0.20/0.54 % (13155)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (13137)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 % (13149)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (13149)------------------------------
% 0.20/0.54 % (13149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (13149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (13149)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (13149)Memory used [KB]: 1791
% 0.20/0.54 % (13149)Time elapsed: 0.114 s
% 0.20/0.54 % (13149)Instructions burned: 56 (million)
% 0.20/0.54 % (13149)------------------------------
% 0.20/0.54 % (13149)------------------------------
% 0.20/0.54 % (13133)Success in time 0.191 s
%------------------------------------------------------------------------------