TSTP Solution File: RNG039-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG039-1 : 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 : n004.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 18:15:29 EDT 2022
% Result : Unsatisfiable 1.88s 0.64s
% Output : Refutation 1.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 37 unt; 0 def)
% Number of atoms : 54 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f657,plain,
$false,
inference(subsumption_resolution,[],[f656,f596]) ).
fof(f596,plain,
additive_identity != b,
inference(backward_demodulation,[],[f491,f561]) ).
fof(f561,plain,
additive_identity = a,
inference(resolution,[],[f519,f523]) ).
fof(f523,plain,
product(add(a,b),a,additive_identity),
inference(forward_demodulation,[],[f465,f22]) ).
fof(f22,axiom,
! [X10] : additive_identity = add(X10,X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f465,plain,
product(add(a,b),a,add(a,a)),
inference(backward_demodulation,[],[f56,f454]) ).
fof(f454,plain,
a = d,
inference(resolution,[],[f141,f143]) ).
fof(f143,plain,
product(a,d,a),
inference(superposition,[],[f99,f23]) ).
fof(f23,axiom,
! [X10] : multiply(X10,X10) = X10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f99,plain,
! [X0] : product(a,d,multiply(X0,a)),
inference(superposition,[],[f32,f25]) ).
fof(f25,axiom,
multiply(b,a) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f32,axiom,
! [X10,X11] : product(a,multiply(b,X10),multiply(X11,X10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f141,plain,
! [X0] :
( ~ product(a,d,X0)
| d = X0 ),
inference(resolution,[],[f103,f17]) ).
fof(f17,axiom,
! [X2,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X4)
| X2 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f103,plain,
product(a,d,d),
inference(superposition,[],[f32,f25]) ).
fof(f56,axiom,
product(add(a,b),a,add(a,d)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f519,plain,
! [X8,X9] :
( ~ product(X8,a,X9)
| a = X9 ),
inference(forward_demodulation,[],[f502,f454]) ).
fof(f502,plain,
! [X8,X9] :
( a = X9
| ~ product(X8,d,X9) ),
inference(backward_demodulation,[],[f428,f454]) ).
fof(f428,plain,
! [X8,X9] :
( d = X9
| ~ product(X8,d,X9) ),
inference(resolution,[],[f417,f17]) ).
fof(f417,plain,
! [X2] : product(X2,d,d),
inference(superposition,[],[f31,f362]) ).
fof(f362,plain,
! [X0] : d = multiply(X0,d),
inference(resolution,[],[f130,f288]) ).
fof(f288,plain,
! [X10] : product(b,a,multiply(X10,d)),
inference(backward_demodulation,[],[f225,f218]) ).
fof(f218,plain,
b = c,
inference(resolution,[],[f123,f176]) ).
fof(f176,plain,
product(a,b,b),
inference(superposition,[],[f100,f23]) ).
fof(f100,plain,
! [X1] : product(a,b,multiply(X1,b)),
inference(superposition,[],[f32,f23]) ).
fof(f123,plain,
! [X14] :
( ~ product(a,b,X14)
| c = X14 ),
inference(resolution,[],[f17,f58]) ).
fof(f58,axiom,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).
fof(f225,plain,
! [X10] : product(c,a,multiply(X10,d)),
inference(backward_demodulation,[],[f45,f215]) ).
fof(f215,plain,
! [X0] : c = multiply(X0,b),
inference(resolution,[],[f123,f100]) ).
fof(f45,axiom,
! [X10] : product(multiply(X10,b),a,multiply(X10,d)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f130,plain,
! [X23] :
( ~ product(b,a,X23)
| d = X23 ),
inference(resolution,[],[f17,f59]) ).
fof(f59,axiom,
product(b,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a) ).
fof(f31,axiom,
! [X10,X11] : product(X10,multiply(X10,X11),multiply(X10,X11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f491,plain,
a != b,
inference(backward_demodulation,[],[f256,f454]) ).
fof(f256,plain,
b != d,
inference(backward_demodulation,[],[f60,f218]) ).
fof(f60,axiom,
c != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_equals_d) ).
fof(f656,plain,
additive_identity = b,
inference(resolution,[],[f628,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f17,f57]) ).
fof(f57,axiom,
! [X10] : product(X10,X10,X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f628,plain,
product(b,b,additive_identity),
inference(forward_demodulation,[],[f578,f21]) ).
fof(f21,axiom,
! [X10] : add(X10,additive_identity) = X10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f578,plain,
product(add(b,additive_identity),b,additive_identity),
inference(backward_demodulation,[],[f302,f561]) ).
fof(f302,plain,
product(add(b,a),b,additive_identity),
inference(forward_demodulation,[],[f254,f22]) ).
fof(f254,plain,
product(add(b,a),b,add(b,b)),
inference(backward_demodulation,[],[f54,f218]) ).
fof(f54,axiom,
product(add(b,a),b,add(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : RNG039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 11:53:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (12214)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.64/0.59 % (12238)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.64/0.59 % (12218)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.64/0.59 % (12210)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)
% 1.64/0.59 % (12222)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.88/0.60 TRYING [1]
% 1.88/0.60 % (12213)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)
% 1.88/0.60 TRYING [2]
% 1.88/0.60 % (12223)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.88/0.60 % (12211)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)
% 1.88/0.61 % (12232)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)
% 1.88/0.61 % (12224)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)
% 1.88/0.61 % (12218)Instruction limit reached!
% 1.88/0.61 % (12218)------------------------------
% 1.88/0.61 % (12218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.61 % (12218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.61 % (12218)Termination reason: Unknown
% 1.88/0.61 % (12218)Termination phase: Saturation
% 1.88/0.61
% 1.88/0.61 % (12218)Memory used [KB]: 895
% 1.88/0.61 % (12218)Time elapsed: 0.003 s
% 1.88/0.61 % (12218)Instructions burned: 2 (million)
% 1.88/0.61 % (12218)------------------------------
% 1.88/0.61 % (12218)------------------------------
% 1.88/0.61 TRYING [3]
% 1.88/0.62 % (12233)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)
% 1.88/0.62 % (12212)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)
% 1.88/0.62 % (12216)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)
% 1.88/0.62 % (12237)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)
% 1.88/0.62 % (12215)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)
% 1.88/0.63 % (12229)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)
% 1.88/0.63 % (12234)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.88/0.63 % (12231)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.88/0.63 % (12214)First to succeed.
% 1.88/0.64 % (12214)Refutation found. Thanks to Tanya!
% 1.88/0.64 % SZS status Unsatisfiable for theBenchmark
% 1.88/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.88/0.64 % (12214)------------------------------
% 1.88/0.64 % (12214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.64 % (12214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.64 % (12214)Termination reason: Refutation
% 1.88/0.64
% 1.88/0.64 % (12214)Memory used [KB]: 5628
% 1.88/0.64 % (12214)Time elapsed: 0.202 s
% 1.88/0.64 % (12214)Instructions burned: 37 (million)
% 1.88/0.64 % (12214)------------------------------
% 1.88/0.64 % (12214)------------------------------
% 1.88/0.64 % (12209)Success in time 0.276 s
%------------------------------------------------------------------------------