TSTP Solution File: ALG354-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG354-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n003.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 15:41:33 EDT 2022
% Result : Unsatisfiable 0.16s 0.53s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 19 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 6 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f695,plain,
$false,
inference(subsumption_resolution,[],[f694,f372]) ).
fof(f372,axiom,
c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f694,plain,
~ c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat),
inference(subsumption_resolution,[],[f693,f511]) ).
fof(f511,plain,
~ sQ0_eqProxy(c_HOL_Ozero__class_Ozero(tc_nat),v_m____),
inference(equality_proxy_replacement,[],[f373,f479]) ).
fof(f479,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f373,axiom,
c_HOL_Ozero__class_Ozero(tc_nat) != v_m____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f693,plain,
( sQ0_eqProxy(c_HOL_Ozero__class_Ozero(tc_nat),v_m____)
| ~ c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat) ),
inference(subsumption_resolution,[],[f546,f692]) ).
fof(f692,plain,
! [X10] : ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X10,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(subsumption_resolution,[],[f370,f375]) ).
fof(f375,axiom,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f370,axiom,
! [X10] :
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X10,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).
fof(f546,plain,
( sQ0_eqProxy(c_HOL_Ozero__class_Ozero(tc_nat),v_m____)
| ~ c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(equality_proxy_replacement,[],[f374,f479]) ).
fof(f374,axiom,
( c_HOL_Ozero__class_Ozero(tc_nat) = v_m____
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ALG354-1 : TPTP v8.1.0. Released v4.1.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n003.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 : Mon Aug 29 15:07:07 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.49 % (19423)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.16/0.49 % (19407)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.16/0.49 % (19424)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.50 % (19416)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.16/0.50 % (19415)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.16/0.51 % (19408)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51 % (19416)Instruction limit reached!
% 0.16/0.51 % (19416)------------------------------
% 0.16/0.51 % (19416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (19416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (19416)Termination reason: Unknown
% 0.16/0.51 % (19416)Termination phase: Finite model building preprocessing
% 0.16/0.51
% 0.16/0.51 % (19416)Memory used [KB]: 1918
% 0.16/0.51 % (19416)Time elapsed: 0.011 s
% 0.16/0.51 % (19416)Instructions burned: 6 (million)
% 0.16/0.51 % (19416)------------------------------
% 0.16/0.51 % (19416)------------------------------
% 0.16/0.52 % (19424)First to succeed.
% 0.16/0.52 % (19406)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.16/0.52 % (19410)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.52 % (19409)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.53 % (19409)Instruction limit reached!
% 0.16/0.53 % (19409)------------------------------
% 0.16/0.53 % (19409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53 % (19409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53 % (19409)Termination reason: Unknown
% 0.16/0.53 % (19409)Termination phase: Equality proxy
% 0.16/0.53
% 0.16/0.53 % (19409)Memory used [KB]: 1791
% 0.16/0.53 % (19409)Time elapsed: 0.003 s
% 0.16/0.53 % (19409)Instructions burned: 3 (million)
% 0.16/0.53 % (19409)------------------------------
% 0.16/0.53 % (19409)------------------------------
% 0.16/0.53 % (19424)Refutation found. Thanks to Tanya!
% 0.16/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.53 % (19424)------------------------------
% 0.16/0.53 % (19424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53 % (19424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53 % (19424)Termination reason: Refutation
% 0.16/0.53
% 0.16/0.53 % (19424)Memory used [KB]: 6780
% 0.16/0.53 % (19424)Time elapsed: 0.025 s
% 0.16/0.53 % (19424)Instructions burned: 18 (million)
% 0.16/0.53 % (19424)------------------------------
% 0.16/0.53 % (19424)------------------------------
% 0.16/0.53 % (19400)Success in time 0.212 s
%------------------------------------------------------------------------------