TSTP Solution File: NUM924+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM924+1 : TPTP v8.1.0. Released v5.3.0.
% 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 : n020.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 18:07:15 EDT 2022
% Result : Theorem 1.65s 0.57s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 48 ( 48 unt; 0 def)
% Number of atoms : 48 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f769,plain,
$false,
inference(subsumption_resolution,[],[f766,f490]) ).
fof(f490,plain,
~ ord_less_int(sF5,zero_zero_int),
inference(definition_folding,[],[f323,f489,f488,f487,f486,f485]) ).
fof(f485,plain,
bit1(pls) = sF1,
introduced(function_definition,[]) ).
fof(f486,plain,
sF2 = bit0(sF1),
introduced(function_definition,[]) ).
fof(f487,plain,
sF3 = number_number_of_nat(sF2),
introduced(function_definition,[]) ).
fof(f488,plain,
power_power_int(s,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f489,plain,
sF5 = plus_plus_int(sF4,one_one_int),
introduced(function_definition,[]) ).
fof(f323,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(flattening,[],[f108]) ).
fof(f108,negated_conjecture,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(negated_conjecture,[],[f107]) ).
fof(f107,conjecture,
ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f766,plain,
ord_less_int(sF5,zero_zero_int),
inference(backward_demodulation,[],[f686,f764]) ).
fof(f764,plain,
sF5 = plus_plus_int(one_one_int,sF4),
inference(superposition,[],[f489,f454]) ).
fof(f454,plain,
! [X0,X1] : plus_plus_int(X1,X0) = plus_plus_int(X0,X1),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0,X1] : plus_plus_int(X1,X0) = plus_plus_int(X0,X1),
inference(rectify,[],[f130]) ).
fof(f130,plain,
! [X1,X0] : plus_plus_int(X1,X0) = plus_plus_int(X0,X1),
inference(rectify,[],[f105]) ).
fof(f105,axiom,
! [X11,X9] : plus_plus_int(X9,X11) = plus_plus_int(X11,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_zadd__commute) ).
fof(f686,plain,
ord_less_int(plus_plus_int(one_one_int,sF4),zero_zero_int),
inference(backward_demodulation,[],[f629,f648]) ).
fof(f648,plain,
! [X0] : zero_zero_int = times_times_int(zero_zero_int,X0),
inference(backward_demodulation,[],[f337,f646]) ).
fof(f646,plain,
zero_zero_int = pls,
inference(superposition,[],[f389,f384]) ).
fof(f384,plain,
! [X0] : number_number_of_int(X0) = X0,
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] : number_number_of_int(X0) = X0,
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X10] : number_number_of_int(X10) = X10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_number__of__is__id) ).
fof(f389,plain,
zero_zero_int = number_number_of_int(pls),
inference(cnf_transformation,[],[f106]) ).
fof(f106,axiom,
zero_zero_int = number_number_of_int(pls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_zero__is__num__zero) ).
fof(f337,plain,
! [X0] : pls = times_times_int(pls,X0),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] : pls = times_times_int(pls,X0),
inference(rectify,[],[f67]) ).
fof(f67,axiom,
! [X9] : pls = times_times_int(pls,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_mult__Pls) ).
fof(f629,plain,
ord_less_int(plus_plus_int(one_one_int,sF4),times_times_int(zero_zero_int,plus_plus_int(one_one_int,times_times_int(m,bit0(sF2))))),
inference(backward_demodulation,[],[f554,f384]) ).
fof(f554,plain,
ord_less_int(plus_plus_int(one_one_int,sF4),times_times_int(zero_zero_int,plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(sF2)))))),
inference(forward_demodulation,[],[f553,f488]) ).
fof(f553,plain,
ord_less_int(plus_plus_int(one_one_int,power_power_int(s,sF3)),times_times_int(zero_zero_int,plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(sF2)))))),
inference(forward_demodulation,[],[f545,f487]) ).
fof(f545,plain,
ord_less_int(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(sF2))),times_times_int(zero_zero_int,plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(sF2)))))),
inference(backward_demodulation,[],[f530,f486]) ).
fof(f530,plain,
ord_less_int(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(sF1)))),times_times_int(zero_zero_int,plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(sF1))))))),
inference(forward_demodulation,[],[f527,f399]) ).
fof(f399,plain,
! [X0,X1] : times_times_int(X0,X1) = times_times_int(X1,X0),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0,X1] : times_times_int(X0,X1) = times_times_int(X1,X0),
inference(rectify,[],[f155]) ).
fof(f155,plain,
! [X1,X0] : times_times_int(X0,X1) = times_times_int(X1,X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X9,X11] : times_times_int(X11,X9) = times_times_int(X9,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_zmult__commute) ).
fof(f527,plain,
ord_less_int(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(sF1)))),times_times_int(plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(bit0(bit0(sF1))))),zero_zero_int)),
inference(backward_demodulation,[],[f525,f399]) ).
fof(f525,plain,
ord_less_int(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(sF1)))),times_times_int(plus_plus_int(one_one_int,times_times_int(number_number_of_int(bit0(bit0(sF1))),m)),zero_zero_int)),
inference(backward_demodulation,[],[f508,f524]) ).
fof(f524,plain,
times_times_int(plus_plus_int(one_one_int,times_times_int(number_number_of_int(bit0(bit0(sF1))),m)),t) = plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(sF1)))),
inference(forward_demodulation,[],[f523,f454]) ).
fof(f523,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(sF1))),m),one_one_int),t) = plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(sF1)))),
inference(forward_demodulation,[],[f522,f485]) ).
fof(f522,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))),
inference(forward_demodulation,[],[f318,f454]) ).
fof(f318,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_t) ).
fof(f508,plain,
ord_less_int(times_times_int(plus_plus_int(one_one_int,times_times_int(number_number_of_int(bit0(bit0(sF1))),m)),t),times_times_int(plus_plus_int(one_one_int,times_times_int(number_number_of_int(bit0(bit0(sF1))),m)),zero_zero_int)),
inference(backward_demodulation,[],[f492,f485]) ).
fof(f492,plain,
ord_less_int(times_times_int(plus_plus_int(one_one_int,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m)),t),times_times_int(plus_plus_int(one_one_int,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m)),zero_zero_int)),
inference(forward_demodulation,[],[f447,f454]) ).
fof(f447,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM924+1 : TPTP v8.1.0. Released v5.3.0.
% 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 : n020.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 09:21:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (18937)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (18930)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)
% 0.19/0.50 % (18937)Instruction limit reached!
% 0.19/0.50 % (18937)------------------------------
% 0.19/0.50 % (18937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (18937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (18937)Termination reason: Unknown
% 0.19/0.50 % (18937)Termination phase: Naming
% 0.19/0.50
% 0.19/0.50 % (18937)Memory used [KB]: 1023
% 0.19/0.50 % (18937)Time elapsed: 0.003 s
% 0.19/0.50 % (18937)Instructions burned: 2 (million)
% 0.19/0.50 % (18937)------------------------------
% 0.19/0.50 % (18937)------------------------------
% 0.19/0.51 % (18940)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)
% 0.19/0.51 % (18951)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)
% 0.19/0.51 % (18947)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (18948)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)
% 0.19/0.52 % (18935)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)
% 0.19/0.53 % (18958)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)
% 0.19/0.53 % (18943)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)
% 0.19/0.53 % (18934)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)
% 0.19/0.53 % (18933)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (18956)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)
% 0.19/0.53 % (18939)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (18931)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)
% 0.19/0.53 % (18936)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (18938)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)
% 0.19/0.53 % (18936)Instruction limit reached!
% 0.19/0.53 % (18936)------------------------------
% 0.19/0.53 % (18936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (18936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (18936)Termination reason: Unknown
% 0.19/0.53 % (18936)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (18936)Memory used [KB]: 5628
% 0.19/0.53 % (18936)Time elapsed: 0.004 s
% 0.19/0.53 % (18936)Instructions burned: 7 (million)
% 0.19/0.53 % (18936)------------------------------
% 0.19/0.53 % (18936)------------------------------
% 0.19/0.54 % (18949)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)
% 0.19/0.54 % (18929)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)
% 0.19/0.54 % (18932)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)
% 0.19/0.54 % (18950)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (18955)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)
% 0.19/0.54 % (18953)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (18941)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 % (18952)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)
% 0.19/0.54 % (18954)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (18942)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.49/0.55 % (18957)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.49/0.55 % (18944)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)
% 1.49/0.55 % (18946)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.49/0.56 % (18945)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)
% 1.49/0.56 % (18947)First to succeed.
% 1.65/0.57 % (18947)Refutation found. Thanks to Tanya!
% 1.65/0.57 % SZS status Theorem for theBenchmark
% 1.65/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.57 % (18947)------------------------------
% 1.65/0.57 % (18947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.57 % (18947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.57 % (18947)Termination reason: Refutation
% 1.65/0.57
% 1.65/0.57 % (18947)Memory used [KB]: 5884
% 1.65/0.57 % (18947)Time elapsed: 0.157 s
% 1.65/0.57 % (18947)Instructions burned: 21 (million)
% 1.65/0.57 % (18947)------------------------------
% 1.65/0.57 % (18947)------------------------------
% 1.65/0.57 % (18928)Success in time 0.217 s
%------------------------------------------------------------------------------