TSTP Solution File: RNG008-4 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG008-4 : 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 : n016.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 : Sun May 5 08:55:09 EDT 2024
% Result : Unsatisfiable 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% 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 : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2471,plain,
$false,
inference(trivial_inequality_removal,[],[f2457]) ).
fof(f2457,plain,
c != c,
inference(superposition,[],[f17,f2263]) ).
fof(f2263,plain,
c = multiply(b,a),
inference(forward_demodulation,[],[f2262,f125]) ).
fof(f125,plain,
! [X0,X1] : add(X0,add(X0,X1)) = X1,
inference(forward_demodulation,[],[f112,f1]) ).
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f112,plain,
! [X0,X1] : add(X0,add(X0,X1)) = add(additive_identity,X1),
inference(superposition,[],[f12,f79]) ).
fof(f79,plain,
! [X0] : additive_identity = add(X0,X0),
inference(backward_demodulation,[],[f2,f78]) ).
fof(f78,plain,
! [X0] : additive_inverse(X0) = X0,
inference(backward_demodulation,[],[f41,f66]) ).
fof(f66,plain,
! [X0] : multiply(X0,additive_inverse(X0)) = X0,
inference(superposition,[],[f18,f53]) ).
fof(f53,plain,
! [X0] : multiply(additive_inverse(X0),X0) = X0,
inference(superposition,[],[f41,f6]) ).
fof(f6,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f18,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/sandbox2/benchmark/theBenchmark.p',multiply_additive_inverse1) ).
fof(f11,axiom,
! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_additive_inverse2) ).
fof(f41,plain,
! [X0] : additive_inverse(X0) = multiply(X0,additive_inverse(X0)),
inference(superposition,[],[f10,f15]) ).
fof(f15,axiom,
! [X0] : multiply(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boolean_ring) ).
fof(f2,axiom,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',associative_addition) ).
fof(f2262,plain,
multiply(b,a) = add(a,add(a,c)),
inference(forward_demodulation,[],[f2185,f125]) ).
fof(f2185,plain,
add(a,add(a,c)) = multiply(add(a,add(a,b)),a),
inference(superposition,[],[f458,f1404]) ).
fof(f1404,plain,
add(a,c) = multiply(add(a,b),a),
inference(forward_demodulation,[],[f1403,f13]) ).
fof(f13,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutative_addition) ).
fof(f1403,plain,
add(c,a) = multiply(add(a,b),a),
inference(forward_demodulation,[],[f1402,f1]) ).
fof(f1402,plain,
add(c,a) = multiply(add(a,b),add(additive_identity,a)),
inference(forward_demodulation,[],[f1401,f13]) ).
fof(f1401,plain,
add(c,a) = multiply(add(a,b),add(a,additive_identity)),
inference(forward_demodulation,[],[f1400,f79]) ).
fof(f1400,plain,
add(c,a) = multiply(add(a,b),add(a,add(b,b))),
inference(forward_demodulation,[],[f1399,f118]) ).
fof(f118,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(superposition,[],[f12,f13]) ).
fof(f1399,plain,
add(c,a) = multiply(add(a,b),add(b,add(a,b))),
inference(forward_demodulation,[],[f1398,f13]) ).
fof(f1398,plain,
add(c,a) = multiply(add(a,b),add(add(a,b),b)),
inference(forward_demodulation,[],[f1397,f147]) ).
fof(f147,plain,
! [X2,X0,X1] : add(X0,X1) = add(X2,add(X0,add(X1,X2))),
inference(superposition,[],[f130,f12]) ).
fof(f130,plain,
! [X0,X1] : add(X0,add(X1,X0)) = X1,
inference(superposition,[],[f125,f13]) ).
fof(f1397,plain,
multiply(add(a,b),add(add(a,b),b)) = add(b,add(c,add(a,b))),
inference(forward_demodulation,[],[f1396,f118]) ).
fof(f1396,plain,
multiply(add(a,b),add(add(a,b),b)) = add(c,add(add(a,b),b)),
inference(forward_demodulation,[],[f1348,f118]) ).
fof(f1348,plain,
multiply(add(a,b),add(add(a,b),b)) = add(add(a,b),add(b,c)),
inference(superposition,[],[f228,f541]) ).
fof(f541,plain,
add(b,c) = multiply(add(a,b),b),
inference(forward_demodulation,[],[f527,f13]) ).
fof(f527,plain,
add(c,b) = multiply(add(a,b),b),
inference(superposition,[],[f462,f15]) ).
fof(f462,plain,
! [X0] : multiply(add(a,X0),b) = add(c,multiply(X0,b)),
inference(superposition,[],[f4,f16]) ).
fof(f16,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',distribute2) ).
fof(f228,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(X0,multiply(X0,X1)),
inference(superposition,[],[f3,f15]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute1) ).
fof(f458,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,X0)),
inference(superposition,[],[f4,f15]) ).
fof(f17,axiom,
c != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG008-4 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n016.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 : Fri May 3 18:18:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (3573)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (3576)WARNING: value z3 for option sas not known
% 0.14/0.36 % (3576)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)
% 0.14/0.36 % (3575)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (3574)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (3579)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)
% 0.14/0.36 % (3578)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)
% 0.14/0.36 % (3577)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (3580)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.21/0.42 TRYING [4]
% 0.21/0.42 TRYING [5]
% 0.21/0.43 % (3579)First to succeed.
% 0.21/0.43 % (3579)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3573"
% 0.21/0.44 % (3579)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (3579)------------------------------
% 0.21/0.44 % (3579)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.44 % (3579)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (3579)Memory used [KB]: 1661
% 0.21/0.44 % (3579)Time elapsed: 0.071 s
% 0.21/0.44 % (3579)Instructions burned: 122 (million)
% 0.21/0.44 % (3573)Success in time 0.086 s
%------------------------------------------------------------------------------