TSTP Solution File: RNG008-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG008-3 : 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 : n009.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 14:50:14 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 43 unt; 0 def)
% Number of atoms : 43 ( 42 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2398,plain,
$false,
inference(trivial_inequality_removal,[],[f2384]) ).
fof(f2384,plain,
c != c,
inference(superposition,[],[f19,f2200]) ).
fof(f2200,plain,
c = multiply(b,a),
inference(forward_demodulation,[],[f2199,f127]) ).
fof(f127,plain,
! [X0,X1] : add(X0,add(X0,X1)) = X1,
inference(forward_demodulation,[],[f117,f1]) ).
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f117,plain,
! [X0,X1] : add(additive_identity,X1) = add(X0,add(X0,X1)),
inference(superposition,[],[f12,f81]) ).
fof(f81,plain,
! [X0] : additive_identity = add(X0,X0),
inference(backward_demodulation,[],[f2,f80]) ).
fof(f80,plain,
! [X0] : additive_inverse(X0) = X0,
inference(backward_demodulation,[],[f43,f68]) ).
fof(f68,plain,
! [X0] : multiply(X0,additive_inverse(X0)) = X0,
inference(superposition,[],[f20,f55]) ).
fof(f55,plain,
! [X0] : multiply(additive_inverse(X0),X0) = X0,
inference(superposition,[],[f43,f6]) ).
fof(f6,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f20,plain,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = multiply(additive_inverse(X0),X1),
inference(backward_demodulation,[],[f11,f10]) ).
fof(f10,axiom,
! [X0,X1] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_additive_inverse1) ).
fof(f11,axiom,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_additive_inverse2) ).
fof(f43,plain,
! [X0] : additive_inverse(X0) = multiply(X0,additive_inverse(X0)),
inference(superposition,[],[f10,f17]) ).
fof(f17,axiom,
! [X0] : multiply(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boolean_ring) ).
fof(f2,axiom,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_additive_inverse) ).
fof(f12,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_addition) ).
fof(f2199,plain,
multiply(b,a) = add(a,add(a,c)),
inference(forward_demodulation,[],[f2128,f127]) ).
fof(f2128,plain,
add(a,add(a,c)) = multiply(add(a,add(a,b)),a),
inference(superposition,[],[f449,f1380]) ).
fof(f1380,plain,
add(a,c) = multiply(add(a,b),a),
inference(forward_demodulation,[],[f1379,f13]) ).
fof(f13,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutative_addition) ).
fof(f1379,plain,
add(c,a) = multiply(add(a,b),a),
inference(forward_demodulation,[],[f1378,f15]) ).
fof(f15,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f1378,plain,
add(c,a) = multiply(add(a,b),add(a,additive_identity)),
inference(forward_demodulation,[],[f1377,f81]) ).
fof(f1377,plain,
add(c,a) = multiply(add(a,b),add(a,add(b,b))),
inference(forward_demodulation,[],[f1376,f120]) ).
fof(f120,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(superposition,[],[f12,f13]) ).
fof(f1376,plain,
add(c,a) = multiply(add(a,b),add(b,add(a,b))),
inference(forward_demodulation,[],[f1375,f13]) ).
fof(f1375,plain,
add(c,a) = multiply(add(a,b),add(add(a,b),b)),
inference(forward_demodulation,[],[f1374,f152]) ).
fof(f152,plain,
! [X2,X0,X1] : add(X0,X1) = add(X2,add(X0,add(X1,X2))),
inference(superposition,[],[f132,f12]) ).
fof(f132,plain,
! [X0,X1] : add(X0,add(X1,X0)) = X1,
inference(superposition,[],[f127,f13]) ).
fof(f1374,plain,
multiply(add(a,b),add(add(a,b),b)) = add(b,add(c,add(a,b))),
inference(forward_demodulation,[],[f1373,f120]) ).
fof(f1373,plain,
multiply(add(a,b),add(add(a,b),b)) = add(c,add(add(a,b),b)),
inference(forward_demodulation,[],[f1326,f120]) ).
fof(f1326,plain,
multiply(add(a,b),add(add(a,b),b)) = add(add(a,b),add(b,c)),
inference(superposition,[],[f230,f531]) ).
fof(f531,plain,
add(b,c) = multiply(add(a,b),b),
inference(forward_demodulation,[],[f517,f13]) ).
fof(f517,plain,
add(c,b) = multiply(add(a,b),b),
inference(superposition,[],[f453,f17]) ).
fof(f453,plain,
! [X0] : multiply(add(a,X0),b) = add(c,multiply(X0,b)),
inference(superposition,[],[f4,f18]) ).
fof(f18,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f4,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(f230,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(X0,multiply(X0,X1)),
inference(superposition,[],[f3,f17]) ).
fof(f3,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(f449,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,X0)),
inference(superposition,[],[f4,f17]) ).
fof(f19,axiom,
c != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : RNG008-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n009.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 02:05:11 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % (6633)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (6634)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33 % (6636)WARNING: value z3 for option sas not known
% 0.15/0.33 % (6638)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)
% 0.15/0.33 % (6635)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33 % (6637)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 % (6639)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)
% 0.15/0.33 % (6636)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)
% 0.15/0.33 % (6640)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)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [2]
% 0.15/0.34 TRYING [3]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [3]
% 0.15/0.37 TRYING [4]
% 0.15/0.39 TRYING [5]
% 0.15/0.39 % (6639)First to succeed.
% 0.15/0.39 % (6639)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (6639)------------------------------
% 0.15/0.39 % (6639)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (6639)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (6639)Memory used [KB]: 1656
% 0.15/0.39 % (6639)Time elapsed: 0.063 s
% 0.15/0.39 % (6639)Instructions burned: 120 (million)
% 0.15/0.39 % (6639)------------------------------
% 0.15/0.39 % (6639)------------------------------
% 0.15/0.39 % (6633)Success in time 0.065 s
%------------------------------------------------------------------------------