TSTP Solution File: RNG012-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG012-6 : 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 : n014.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 14:50:16 EDT 2024
% Result : Unsatisfiable 12.71s 2.17s
% Output : Refutation 12.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42590,plain,
$false,
inference(trivial_inequality_removal,[],[f42589]) ).
fof(f42589,plain,
multiply(a,b) != multiply(a,b),
inference(forward_demodulation,[],[f42448,f7]) ).
fof(f7,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f42448,plain,
multiply(a,b) != multiply(a,additive_inverse(additive_inverse(b))),
inference(superposition,[],[f16,f42255]) ).
fof(f42255,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = multiply(additive_inverse(X0),X1),
inference(forward_demodulation,[],[f42254,f2]) ).
fof(f2,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_additive_identity) ).
fof(f42254,plain,
! [X0,X1] : add(multiply(X0,additive_inverse(X1)),additive_identity) = multiply(additive_inverse(X0),X1),
inference(forward_demodulation,[],[f42044,f3]) ).
fof(f3,axiom,
! [X0] : additive_identity = multiply(additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_multiplicative_zero) ).
fof(f42044,plain,
! [X0,X1] : multiply(additive_inverse(X0),X1) = add(multiply(X0,additive_inverse(X1)),multiply(additive_identity,X1)),
inference(superposition,[],[f39936,f6]) ).
fof(f6,axiom,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_additive_inverse) ).
fof(f39936,plain,
! [X2,X0,X1] : multiply(X2,X1) = add(multiply(X0,additive_inverse(X1)),multiply(add(X0,X2),X1)),
inference(forward_demodulation,[],[f702,f39435]) ).
fof(f39435,plain,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
inference(superposition,[],[f39324,f2]) ).
fof(f39324,plain,
! [X0,X1] : add(additive_inverse(multiply(X1,X0)),additive_identity) = multiply(X1,additive_inverse(X0)),
inference(forward_demodulation,[],[f39096,f4]) ).
fof(f4,axiom,
! [X0] : additive_identity = multiply(X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_multiplicative_zero) ).
fof(f39096,plain,
! [X0,X1] : multiply(X1,additive_inverse(X0)) = add(additive_inverse(multiply(X1,X0)),multiply(X1,additive_identity)),
inference(superposition,[],[f556,f6]) ).
fof(f556,plain,
! [X2,X0,X1] : multiply(X0,X2) = add(additive_inverse(multiply(X0,X1)),multiply(X0,add(X1,X2))),
inference(superposition,[],[f56,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute1) ).
fof(f56,plain,
! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1,
inference(forward_demodulation,[],[f44,f1]) ).
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_additive_identity) ).
fof(f44,plain,
! [X0,X1] : add(additive_identity,X1) = add(additive_inverse(X0),add(X0,X1)),
inference(superposition,[],[f11,f5]) ).
fof(f5,axiom,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_additive_inverse) ).
fof(f11,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_for_addition) ).
fof(f702,plain,
! [X2,X0,X1] : multiply(X2,X1) = add(additive_inverse(multiply(X0,X1)),multiply(add(X0,X2),X1)),
inference(superposition,[],[f56,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute2) ).
fof(f16,axiom,
multiply(additive_inverse(a),additive_inverse(b)) != multiply(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG012-6 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 01:59:34 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (21973)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (21976)WARNING: value z3 for option sas not known
% 0.14/0.38 % (21976)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)
% 0.14/0.38 % (21975)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (21977)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (21979)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)
% 0.14/0.38 % (21978)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)
% 0.14/0.38 % (21980)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)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (21974)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.40 TRYING [4]
% 0.14/0.41 TRYING [3]
% 0.20/0.43 TRYING [5]
% 0.20/0.44 TRYING [4]
% 0.20/0.51 TRYING [6]
% 0.20/0.54 TRYING [5]
% 2.42/0.71 TRYING [7]
% 4.27/1.00 TRYING [6]
% 5.41/1.16 TRYING [8]
% 6.39/1.27 TRYING [1]
% 6.39/1.27 TRYING [2]
% 6.39/1.27 TRYING [3]
% 6.50/1.30 TRYING [4]
% 6.89/1.40 TRYING [5]
% 9.47/1.72 TRYING [6]
% 12.65/2.17 % (21976)First to succeed.
% 12.71/2.17 % (21976)Refutation found. Thanks to Tanya!
% 12.71/2.17 % SZS status Unsatisfiable for theBenchmark
% 12.71/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 12.71/2.17 % (21976)------------------------------
% 12.71/2.17 % (21976)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 12.71/2.17 % (21976)Termination reason: Refutation
% 12.71/2.17
% 12.71/2.17 % (21976)Memory used [KB]: 18519
% 12.71/2.17 % (21976)Time elapsed: 1.783 s
% 12.71/2.17 % (21976)Instructions burned: 4420 (million)
% 12.71/2.17 % (21976)------------------------------
% 12.71/2.17 % (21976)------------------------------
% 12.71/2.17 % (21973)Success in time 1.774 s
%------------------------------------------------------------------------------