%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG373-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:19:53 AM UTC 2026
% Result : Unsatisfiable 3.55s 1.26s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 16 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f416,axiom,
! [X0,X1] :
( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f417,plain,
! [X0,X1] :
( c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) != c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(reorient_equations,[],[f416]) ).
fof(f418,negated_conjecture,
! [X0] : c_lessequals(c_RealVector_Onorm__class_Onorm(v_xa(X0),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f419,negated_conjecture,
! [X0] : c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_xa(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_x(X0),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f420,negated_conjecture,
! [X0] : ~ c_HOL_Oord__class_Oless(v_x(X0),X0,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f977,plain,
! [X0,X1] :
( c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(v_x(X0),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(v_xa(X0),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(superposition,[],[f417,f419]) ).
fof(f980,plain,
! [X0,X1] :
( c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(v_x(X0),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f977,f418]) ).
fof(f985,plain,
! [X0] : c_HOL_Oord__class_Oless(v_x(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(equality_resolution,[],[f980]) ).
fof(f986,plain,
$false,
inference(resolution,[],[f985,f420]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG373-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n002.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 20:16:37 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.55/1.26 % (701772)Input is clausal, will run a generic CNF schedule.
% 3.55/1.26 % (701781)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=698658551:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.55/1.26 % (701780)lrs+10_1_sil=8000:sp=occurrence:random_seed=3318940737:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.55/1.26 % (701778)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2270838864:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.55/1.26 % (701779)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2715539753:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.55/1.26 % (701777)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3846096504:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.55/1.26 % (701782)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=654349587:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.55/1.26 % (701781)Instruction limit reached!
% 3.55/1.26 % (701781)------------------------------
% 3.55/1.26 % (701781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.26 % (701781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.26 % (701781)CaDiCaL version: 2.1.3
% 3.55/1.26 % (701781)Termination reason: Instruction limit
% 3.55/1.26 % (701781)Termination phase: Saturation
% 3.55/1.26 % (701781)Time elapsed: 0.043 s
% 3.55/1.26 % (701781)Peak memory usage: 89 MB
% 3.55/1.26 % (701781)Instructions burned: 114 (million)
% 3.55/1.26 % (701783)dis-21_1_sil=8000:lcm=predicate:random_seed=3172079514:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.55/1.26 % (701780)First to succeed.
% 3.55/1.26 % (701780)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-701772"
% 3.55/1.26 % (701782)Also succeeded, but the first one will report.
% 3.55/1.26 % (701783)Instruction limit reached!
% 3.55/1.26 % (701783)------------------------------
% 3.55/1.26 % (701783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.26 % (701783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.26 % (701783)CaDiCaL version: 2.1.3
% 3.55/1.26 % (701783)Termination reason: Instruction limit
% 3.55/1.26 % (701783)Termination phase: Saturation
% 3.55/1.26 % (701783)Time elapsed: 0.060 s
% 3.55/1.26 % (701783)Peak memory usage: 90 MB
% 3.55/1.26 % (701783)Instructions burned: 117 (million)
% 3.55/1.26 % (701790)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3433149857:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.55/1.26 % (701790)Also succeeded, but the first one will report.
% 3.55/1.26 % (701792)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3378146792:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.55/1.26 % (701792)Also succeeded, but the first one will report.
% 3.55/1.26 % (701780)Refutation found. Thanks to Tanya!
% 3.55/1.26 % SZS status Unsatisfiable for theBenchmark
% 3.55/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.26 % (701780)------------------------------
% 3.55/1.26 % (701780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.26 % (701780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.26 % (701780)CaDiCaL version: 2.1.3
% 3.55/1.26 % (701780)Termination reason: Refutation
% 3.55/1.26 % (701780)Time elapsed: 0.018 s
% 3.55/1.26 % (701780)Peak memory usage: 89 MB
% 3.55/1.26 % (701780)Instructions burned: 24 (million)
% 3.55/1.26 % (701780)------------------------------
% 3.55/1.26 % (701780)------------------------------
% 3.55/1.26 % (701772)Success in time 0.428 s
% 3.55/1.26 % Vampire exiting
%------------------------------------------------------------------------------