TSTP Solution File: HEN005-4 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN005-4 : 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 : n024.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 16:24:35 EDT 2022
% Result : Unsatisfiable 1.84s 0.61s
% Output : Refutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 16 unt; 0 def)
% Number of atoms : 27 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f218,plain,
$false,
inference(subsumption_resolution,[],[f217,f14]) ).
fof(f14,axiom,
~ less_equal(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_LE_c) ).
fof(f217,plain,
less_equal(a,c),
inference(trivial_inequality_removal,[],[f211]) ).
fof(f211,plain,
( less_equal(a,c)
| zero != zero ),
inference(superposition,[],[f2,f208]) ).
fof(f208,plain,
zero = divide(a,c),
inference(subsumption_resolution,[],[f206,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f206,plain,
( ~ less_equal(zero,divide(a,c))
| zero = divide(a,c) ),
inference(resolution,[],[f204,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| ~ less_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f204,plain,
less_equal(divide(a,c),zero),
inference(forward_demodulation,[],[f189,f11]) ).
fof(f11,axiom,
! [X0] : divide(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_zero_is_x) ).
fof(f189,plain,
less_equal(divide(divide(a,c),zero),zero),
inference(superposition,[],[f101,f23]) ).
fof(f23,plain,
zero = divide(b,c),
inference(resolution,[],[f1,f13]) ).
fof(f13,axiom,
less_equal(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_LE_c) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f101,plain,
! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),zero),
inference(forward_demodulation,[],[f95,f9]) ).
fof(f9,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
fof(f95,plain,
! [X0] : less_equal(divide(divide(a,X0),divide(b,X0)),divide(zero,X0)),
inference(superposition,[],[f4,f22]) ).
fof(f22,plain,
zero = divide(a,b),
inference(resolution,[],[f1,f12]) ).
fof(f12,axiom,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_LE_b) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : HEN005-4 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % 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 : n024.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 : Mon Aug 29 22:59:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.59 % (27632)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)
% 0.21/0.59 % (27631)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)
% 0.21/0.59 % (27657)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)
% 1.84/0.60 % (27656)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.84/0.60 % (27636)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)
% 1.84/0.60 TRYING [1]
% 1.84/0.60 TRYING [2]
% 1.84/0.60 % (27649)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.84/0.60 TRYING [3]
% 1.84/0.61 % (27648)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.84/0.61 % (27631)Refutation not found, incomplete strategy% (27631)------------------------------
% 1.84/0.61 % (27631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61 % (27631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61 % (27631)Termination reason: Refutation not found, incomplete strategy
% 1.84/0.61
% 1.84/0.61 % (27631)Memory used [KB]: 5373
% 1.84/0.61 % (27631)Time elapsed: 0.157 s
% 1.84/0.61 % (27631)Instructions burned: 4 (million)
% 1.84/0.61 % (27631)------------------------------
% 1.84/0.61 % (27631)------------------------------
% 1.84/0.61 TRYING [4]
% 1.84/0.61 % (27649)First to succeed.
% 1.84/0.61 % (27638)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.84/0.61 % (27638)Instruction limit reached!
% 1.84/0.61 % (27638)------------------------------
% 1.84/0.61 % (27638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61 % (27638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61 % (27638)Termination reason: Unknown
% 1.84/0.61 % (27638)Termination phase: Saturation
% 1.84/0.61
% 1.84/0.61 % (27638)Memory used [KB]: 5373
% 1.84/0.61 % (27638)Time elapsed: 0.186 s
% 1.84/0.61 % (27638)Instructions burned: 2 (million)
% 1.84/0.61 % (27638)------------------------------
% 1.84/0.61 % (27638)------------------------------
% 1.84/0.61 % (27649)Refutation found. Thanks to Tanya!
% 1.84/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.84/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.84/0.61 % (27649)------------------------------
% 1.84/0.61 % (27649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61 % (27649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61 % (27649)Termination reason: Refutation
% 1.84/0.61
% 1.84/0.61 % (27649)Memory used [KB]: 5500
% 1.84/0.61 % (27649)Time elapsed: 0.176 s
% 1.84/0.61 % (27649)Instructions burned: 6 (million)
% 1.84/0.61 % (27649)------------------------------
% 1.84/0.61 % (27649)------------------------------
% 1.84/0.61 % (27629)Success in time 0.253 s
%------------------------------------------------------------------------------