TSTP Solution File: ALG069-10 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG069-10 : 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 : n022.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 15:42:29 EDT 2022
% Result : Unsatisfiable 1.58s 0.58s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 12 ( 12 usr; 2 con; 0-4 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f218,plain,
$false,
inference(trivial_inequality_removal,[],[f217]) ).
fof(f217,plain,
tuple(sK1_ax4_U,true) != tuple(sK1_ax4_U,true),
inference(forward_demodulation,[],[f196,f138]) ).
fof(f138,plain,
sK1_ax4_U = op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),
inference(forward_demodulation,[],[f137,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f137,plain,
sK1_ax4_U = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U),
inference(forward_demodulation,[],[f136,f1]) ).
fof(f136,plain,
sK1_ax4_U = ifeq2(true,true,ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U),sK1_ax4_U),
inference(forward_demodulation,[],[f135,f34]) ).
fof(f34,plain,
true = sorti1(sK2_ax3_V(j(sK1_ax4_U))),
inference(forward_demodulation,[],[f33,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f33,plain,
true = ifeq(true,true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true),
inference(superposition,[],[f5,f16]) ).
fof(f16,plain,
true = sorti1(j(sK1_ax4_U)),
inference(forward_demodulation,[],[f15,f2]) ).
fof(f15,plain,
true = ifeq(true,true,sorti1(j(sK1_ax4_U)),true),
inference(superposition,[],[f12,f8]) ).
fof(f8,axiom,
true = sorti2(sK1_ax4_U),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f12,axiom,
! [X3] : true = ifeq(sorti2(X3),true,sorti1(j(X3)),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f5,axiom,
! [X4] : true = ifeq(sorti1(X4),true,sorti1(sK2_ax3_V(X4)),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_1) ).
fof(f135,plain,
sK1_ax4_U = ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U),sK1_ax4_U),
inference(forward_demodulation,[],[f132,f24]) ).
fof(f24,plain,
sK1_ax4_U = h(j(sK1_ax4_U)),
inference(forward_demodulation,[],[f23,f1]) ).
fof(f23,plain,
sK1_ax4_U = ifeq2(true,true,h(j(sK1_ax4_U)),sK1_ax4_U),
inference(superposition,[],[f14,f8]) ).
fof(f14,axiom,
! [X10] : ifeq2(sorti2(X10),true,h(j(X10)),X10) = X10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f132,plain,
ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))),h(j(sK1_ax4_U))) = h(j(sK1_ax4_U)),
inference(superposition,[],[f10,f78]) ).
fof(f78,plain,
op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))) = j(sK1_ax4_U),
inference(forward_demodulation,[],[f76,f1]) ).
fof(f76,plain,
ifeq2(true,true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)) = j(sK1_ax4_U),
inference(superposition,[],[f6,f16]) ).
fof(f6,axiom,
! [X4] : ifeq2(sorti1(X4),true,op1(sK2_ax3_V(X4),sK2_ax3_V(X4)),X4) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
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/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f196,plain,
tuple(sK1_ax4_U,true) != tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true),
inference(superposition,[],[f7,f75]) ).
fof(f75,plain,
true = sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),
inference(forward_demodulation,[],[f64,f2]) ).
fof(f64,plain,
true = ifeq(true,true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true),
inference(superposition,[],[f9,f34]) ).
fof(f9,axiom,
! [X4] : true = ifeq(sorti1(X4),true,sorti2(h(X4)),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f7,axiom,
! [X3] : tuple(op2(X3,X3),sorti2(X3)) != tuple(sK1_ax4_U,true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG069-10 : TPTP v8.1.0. Released v7.3.0.
% 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
% 0.13/0.34 % Computer : n022.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 14:54:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (2169)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 % (2159)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)
% 0.20/0.52 % (2176)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (2185)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (2162)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 % (2168)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (2163)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 % (2170)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.53 % (2166)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.53 TRYING [1]
% 1.42/0.53 TRYING [2]
% 1.42/0.53 % (2188)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.42/0.53 % (2165)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.42/0.53 % (2181)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.42/0.54 % (2182)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)
% 1.42/0.54 % (2179)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)
% 1.42/0.54 % (2167)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)
% 1.42/0.54 % (2173)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)
% 1.42/0.54 TRYING [3]
% 1.42/0.54 % (2175)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)
% 1.42/0.54 % (2187)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)
% 1.58/0.55 % (2164)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)
% 1.58/0.55 % (2178)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.58/0.55 % (2160)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)
% 1.58/0.55 % (2172)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.58/0.55 % (2165)Instruction limit reached!
% 1.58/0.55 % (2165)------------------------------
% 1.58/0.55 % (2165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55 % (2161)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)
% 1.58/0.55 % (2189)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)
% 1.58/0.55 % (2158)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)
% 1.58/0.55 % (2165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55 % (2165)Termination reason: Unknown
% 1.58/0.55 % (2165)Termination phase: Saturation
% 1.58/0.55
% 1.58/0.55 % (2165)Memory used [KB]: 5500
% 1.58/0.55 % (2165)Time elapsed: 0.144 s
% 1.58/0.55 % (2165)Instructions burned: 7 (million)
% 1.58/0.55 % (2165)------------------------------
% 1.58/0.55 % (2165)------------------------------
% 1.58/0.55 % (2166)Instruction limit reached!
% 1.58/0.55 % (2166)------------------------------
% 1.58/0.55 % (2166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55 % (2166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55 % (2166)Termination reason: Unknown
% 1.58/0.55 % (2166)Termination phase: Saturation
% 1.58/0.55
% 1.58/0.55 % (2166)Memory used [KB]: 5373
% 1.58/0.55 % (2166)Time elapsed: 0.151 s
% 1.58/0.55 % (2166)Instructions burned: 2 (million)
% 1.58/0.55 % (2166)------------------------------
% 1.58/0.55 % (2166)------------------------------
% 1.58/0.55 % (2184)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.58/0.55 TRYING [1]
% 1.58/0.56 TRYING [2]
% 1.58/0.56 % (2174)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)
% 1.58/0.56 % (2183)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)
% 1.58/0.56 TRYING [1]
% 1.58/0.56 TRYING [2]
% 1.58/0.56 TRYING [3]
% 1.58/0.57 TRYING [3]
% 1.58/0.57 % (2180)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)
% 1.58/0.58 % (2186)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)
% 1.58/0.58 % (2189)First to succeed.
% 1.58/0.58 % (2189)Refutation found. Thanks to Tanya!
% 1.58/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.58/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.58 % (2189)------------------------------
% 1.58/0.58 % (2189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58 % (2189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58 % (2189)Termination reason: Refutation
% 1.58/0.58
% 1.58/0.58 % (2189)Memory used [KB]: 5628
% 1.58/0.58 % (2189)Time elapsed: 0.157 s
% 1.58/0.58 % (2189)Instructions burned: 9 (million)
% 1.58/0.58 % (2189)------------------------------
% 1.58/0.58 % (2189)------------------------------
% 1.58/0.58 % (2157)Success in time 0.232 s
%------------------------------------------------------------------------------