TSTP Solution File: RNG039-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG039-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 : Tue Apr 30 14:50:24 EDT 2024
% Result : Unsatisfiable 0.19s 0.38s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 38 unt; 0 def)
% Number of atoms : 41 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 8 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 3 ( 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 : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f571,plain,
$false,
inference(subsumption_resolution,[],[f570,f57]) ).
fof(f57,axiom,
! [X10] : product(X10,X10,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f570,plain,
~ product(additive_identity,additive_identity,additive_identity),
inference(forward_demodulation,[],[f569,f372]) ).
fof(f372,plain,
! [X0,X1] : multiply(X0,X1) = X1,
inference(unit_resulting_resolution,[],[f127,f32,f17]) ).
fof(f17,axiom,
! [X2,X0,X1,X4] :
( ~ product(X0,X1,X4)
| X2 = X4
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f32,axiom,
! [X10,X11] : product(a,multiply(b,X10),multiply(X11,X10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f127,plain,
! [X0] : product(a,multiply(b,X0),X0),
inference(superposition,[],[f32,f23]) ).
fof(f23,axiom,
! [X10] : multiply(X10,X10) = X10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f569,plain,
~ product(multiply(d,additive_identity),additive_identity,additive_identity),
inference(forward_demodulation,[],[f568,f552]) ).
fof(f552,plain,
additive_identity = a,
inference(forward_demodulation,[],[f551,f22]) ).
fof(f22,axiom,
! [X10] : additive_identity = add(X10,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f551,plain,
a = add(a,a),
inference(forward_demodulation,[],[f550,f426]) ).
fof(f426,plain,
a = d,
inference(unit_resulting_resolution,[],[f131,f129,f17]) ).
fof(f129,plain,
product(a,d,d),
inference(superposition,[],[f32,f25]) ).
fof(f25,axiom,
multiply(b,a) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f131,plain,
product(a,d,a),
inference(superposition,[],[f125,f23]) ).
fof(f125,plain,
! [X0] : product(a,d,multiply(X0,a)),
inference(superposition,[],[f32,f25]) ).
fof(f550,plain,
a = add(a,d),
inference(forward_demodulation,[],[f354,f515]) ).
fof(f515,plain,
! [X0] : a = multiply(X0,a),
inference(forward_demodulation,[],[f424,f426]) ).
fof(f424,plain,
! [X0] : d = multiply(X0,a),
inference(unit_resulting_resolution,[],[f125,f129,f17]) ).
fof(f354,plain,
add(a,d) = multiply(add(a,b),a),
inference(unit_resulting_resolution,[],[f3,f56,f17]) ).
fof(f56,axiom,
product(add(a,b),a,add(a,d)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f568,plain,
~ product(multiply(d,additive_identity),a,additive_identity),
inference(forward_demodulation,[],[f567,f559]) ).
fof(f559,plain,
additive_identity = b,
inference(forward_demodulation,[],[f558,f22]) ).
fof(f558,plain,
b = add(b,b),
inference(forward_demodulation,[],[f557,f412]) ).
fof(f412,plain,
b = c,
inference(unit_resulting_resolution,[],[f133,f58,f17]) ).
fof(f58,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).
fof(f133,plain,
product(a,b,b),
inference(superposition,[],[f126,f23]) ).
fof(f126,plain,
! [X0] : product(a,b,multiply(X0,b)),
inference(superposition,[],[f32,f23]) ).
fof(f557,plain,
b = add(b,c),
inference(forward_demodulation,[],[f350,f520]) ).
fof(f520,plain,
! [X0] : b = multiply(X0,b),
inference(forward_demodulation,[],[f409,f412]) ).
fof(f409,plain,
! [X0] : c = multiply(X0,b),
inference(unit_resulting_resolution,[],[f126,f58,f17]) ).
fof(f350,plain,
add(b,c) = multiply(add(b,a),b),
inference(unit_resulting_resolution,[],[f3,f54,f17]) ).
fof(f54,axiom,
product(add(b,a),b,add(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f567,plain,
~ product(multiply(d,b),a,b),
inference(forward_demodulation,[],[f338,f412]) ).
fof(f338,plain,
~ product(multiply(d,b),a,c),
inference(unit_resulting_resolution,[],[f60,f47,f17]) ).
fof(f47,axiom,
product(multiply(d,b),a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f60,axiom,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG039-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 02:27:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (30800)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36 % (30803)WARNING: value z3 for option sas not known
% 0.19/0.36 % (30803)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.37 % (30801)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.37 % (30804)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.37 % (30802)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.37 % (30806)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.19/0.37 % (30805)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.19/0.37 % (30807)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.19/0.37 TRYING [1]
% 0.19/0.37 TRYING [2]
% 0.19/0.37 TRYING [3]
% 0.19/0.38 % (30807)First to succeed.
% 0.19/0.38 TRYING [1]
% 0.19/0.38 % (30807)Refutation found. Thanks to Tanya!
% 0.19/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.38 % (30807)------------------------------
% 0.19/0.38 % (30807)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.38 % (30807)Termination reason: Refutation
% 0.19/0.38
% 0.19/0.38 % (30807)Memory used [KB]: 913
% 0.19/0.38 % (30807)Time elapsed: 0.012 s
% 0.19/0.38 % (30807)Instructions burned: 19 (million)
% 0.19/0.38 % (30807)------------------------------
% 0.19/0.38 % (30807)------------------------------
% 0.19/0.38 % (30800)Success in time 0.018 s
%------------------------------------------------------------------------------