TSTP Solution File: ALG432-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG432-1 : 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_sat --cores 0 -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 : Wed Aug 31 15:44:23 EDT 2022
% Result : Unsatisfiable 2.70s 0.77s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 13 unt; 0 def)
% Number of atoms : 15 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 5 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f980,plain,
$false,
inference(trivial_inequality_removal,[],[f979]) ).
fof(f979,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(backward_demodulation,[],[f977,f978]) ).
fof(f978,plain,
! [X3,X9] : c_HOL_Oplus__class_Oplus(X9,c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X9,
inference(forward_demodulation,[],[f975,f939]) ).
fof(f939,plain,
! [X3] : c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f733,f732]) ).
fof(f732,axiom,
! [X3,X9] : c_Polynomial_Opoly(c_Polynomial_OpCons(X9,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) = X9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mpoly__base__conv_I2_J_0) ).
fof(f733,axiom,
! [X3] : c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mpoly__norm__conv_I1_J_0) ).
fof(f975,plain,
! [X3,X9] : c_HOL_Oplus__class_Oplus(X9,c_HOL_Otimes__class_Otimes(X3,c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X9,
inference(backward_demodulation,[],[f732,f972]) ).
fof(f972,plain,
! [X3,X4,X5] : c_Polynomial_Opoly(c_Polynomial_OpCons(X3,X4,tc_Complex_Ocomplex),X5,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X5,c_Polynomial_Opoly(X4,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolution,[],[f855,f715]) ).
fof(f715,axiom,
! [X3,X0,X1,X23] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X23,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X3,c_Polynomial_Opoly(X23,X3,X0),X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__pCons_0) ).
fof(f855,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
fof(f977,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_x,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f976,f736]) ).
fof(f736,axiom,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f976,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_x,c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(backward_demodulation,[],[f737,f972]) ).
fof(f737,axiom,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_p,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG432-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Mon Aug 29 15:32:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.56 % (19548)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.58 % (19564)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.59/0.59 % (19545)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)
% 1.59/0.60 % (19561)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.59/0.60 % (19567)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.59/0.61 % (19558)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)
% 1.59/0.61 % (19557)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.59/0.61 % (19544)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.59/0.62 % (19551)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.59/0.63 % (19548)Instruction limit reached!
% 1.59/0.63 % (19548)------------------------------
% 1.59/0.63 % (19548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.63 % (19548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.63 % (19548)Termination reason: Unknown
% 1.59/0.63 % (19548)Termination phase: Saturation
% 1.59/0.63
% 1.59/0.63 % (19548)Memory used [KB]: 6780
% 1.59/0.63 % (19548)Time elapsed: 0.038 s
% 1.59/0.63 % (19548)Instructions burned: 51 (million)
% 1.59/0.63 % (19548)------------------------------
% 1.59/0.63 % (19548)------------------------------
% 1.59/0.63 % (19546)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)
% 1.59/0.63 % (19549)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.59/0.63 % (19550)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)
% 1.59/0.63 % (19551)Instruction limit reached!
% 1.59/0.63 % (19551)------------------------------
% 1.59/0.63 % (19551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.63 % (19551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.63 % (19551)Termination reason: Unknown
% 1.59/0.63 % (19551)Termination phase: Saturation
% 1.59/0.63
% 1.59/0.63 % (19551)Memory used [KB]: 6396
% 1.59/0.63 % (19551)Time elapsed: 0.010 s
% 1.59/0.63 % (19551)Instructions burned: 7 (million)
% 1.59/0.63 % (19551)------------------------------
% 1.59/0.63 % (19551)------------------------------
% 1.59/0.63 % (19554)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.59/0.64 % (19556)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.59/0.64 % (19547)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.59/0.64 % (19559)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.59/0.64 % (19562)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.59/0.64 % (19568)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.59/0.64 % (19573)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.59/0.64 % (19555)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.59/0.65 % (19570)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)
% 1.59/0.65 % (19563)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.59/0.65 % (19552)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.59/0.65 % (19552)Instruction limit reached!
% 1.59/0.65 % (19552)------------------------------
% 1.59/0.65 % (19552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.65 % (19552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.65 % (19552)Termination reason: Unknown
% 1.59/0.65 % (19552)Termination phase: Unused predicate definition removal
% 1.59/0.65
% 1.59/0.65 % (19552)Memory used [KB]: 1791
% 1.59/0.65 % (19552)Time elapsed: 0.003 s
% 1.59/0.65 % (19552)Instructions burned: 2 (million)
% 1.59/0.65 % (19552)------------------------------
% 1.59/0.65 % (19552)------------------------------
% 1.59/0.65 % (19572)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.03/0.65 % (19571)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.03/0.66 % (19569)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.10/0.67 % (19560)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.10/0.67 % (19565)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.10/0.68 % (19566)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 2.10/0.68 % (19553)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.44/0.74 % (19545)Instruction limit reached!
% 2.44/0.74 % (19545)------------------------------
% 2.44/0.74 % (19545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.74 % (19545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.74 % (19545)Termination reason: Unknown
% 2.44/0.74 % (19545)Termination phase: Saturation
% 2.44/0.74
% 2.44/0.74 % (19545)Memory used [KB]: 7164
% 2.44/0.74 % (19545)Time elapsed: 0.254 s
% 2.44/0.74 % (19545)Instructions burned: 51 (million)
% 2.44/0.74 % (19545)------------------------------
% 2.44/0.74 % (19545)------------------------------
% 2.44/0.74 % (19546)Instruction limit reached!
% 2.44/0.74 % (19546)------------------------------
% 2.44/0.74 % (19546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.74 % (19546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.74 % (19546)Termination reason: Unknown
% 2.44/0.74 % (19546)Termination phase: Saturation
% 2.44/0.74
% 2.44/0.74 % (19546)Memory used [KB]: 2174
% 2.44/0.74 % (19546)Time elapsed: 0.031 s
% 2.44/0.74 % (19546)Instructions burned: 37 (million)
% 2.44/0.74 % (19546)------------------------------
% 2.44/0.74 % (19546)------------------------------
% 2.70/0.75 % (19561)Instruction limit reached!
% 2.70/0.75 % (19561)------------------------------
% 2.70/0.75 % (19561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.75 % (19561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.75 % (19561)Termination reason: Unknown
% 2.70/0.75 % (19561)Termination phase: Finite model building preprocessing
% 2.70/0.75
% 2.70/0.75 % (19561)Memory used [KB]: 3198
% 2.70/0.75 % (19561)Time elapsed: 0.051 s
% 2.70/0.75 % (19561)Instructions burned: 59 (million)
% 2.70/0.75 % (19561)------------------------------
% 2.70/0.75 % (19561)------------------------------
% 2.70/0.77 % (19549)Instruction limit reached!
% 2.70/0.77 % (19549)------------------------------
% 2.70/0.77 % (19549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.77 % (19549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.77 % (19549)Termination reason: Unknown
% 2.70/0.77 % (19549)Termination phase: Saturation
% 2.70/0.77
% 2.70/0.77 % (19549)Memory used [KB]: 6908
% 2.70/0.77 % (19549)Time elapsed: 0.313 s
% 2.70/0.77 % (19549)Instructions burned: 49 (million)
% 2.70/0.77 % (19549)------------------------------
% 2.70/0.77 % (19549)------------------------------
% 2.70/0.77 % (19550)Instruction limit reached!
% 2.70/0.77 % (19550)------------------------------
% 2.70/0.77 % (19550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.77 % (19550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.77 % (19550)Termination reason: Unknown
% 2.70/0.77 % (19550)Termination phase: Finite model building preprocessing
% 2.70/0.77
% 2.70/0.77 % (19550)Memory used [KB]: 3198
% 2.70/0.77 % (19550)Time elapsed: 0.039 s
% 2.70/0.77 % (19550)Instructions burned: 52 (million)
% 2.70/0.77 % (19550)------------------------------
% 2.70/0.77 % (19550)------------------------------
% 2.70/0.77 % (19567)First to succeed.
% 2.70/0.77 % (19606)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.70/0.77 % (19567)Refutation found. Thanks to Tanya!
% 2.70/0.77 % SZS status Unsatisfiable for theBenchmark
% 2.70/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 2.70/0.77 % (19567)------------------------------
% 2.70/0.77 % (19567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.77 % (19567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.77 % (19567)Termination reason: Refutation
% 2.70/0.77
% 2.70/0.77 % (19567)Memory used [KB]: 7164
% 2.70/0.77 % (19567)Time elapsed: 0.258 s
% 2.70/0.77 % (19567)Instructions burned: 57 (million)
% 2.70/0.77 % (19567)------------------------------
% 2.70/0.77 % (19567)------------------------------
% 2.70/0.77 % (19543)Success in time 0.411 s
%------------------------------------------------------------------------------