%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG410-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:19:58 AM UTC 2026
% Result : Unsatisfiable 2.37s 0.77s
% Output : Refutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of formulae : 3 ( 3 unt; 0 def)
% Number of atoms : 3 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 1 ( 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f775,axiom,
c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f776,negated_conjecture,
! [X0] : ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1153,plain,
$false,
inference(forward_subsumption_resolution,[],[f775,f776]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG410-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.01/0.14 % Computer : n012.cluster.edu
% 0.01/0.14 % Model : x86_64 x86_64
% 0.01/0.14 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.01/0.14 % Memory : 8046.5625MB
% 0.01/0.14 % OS : Linux 6.8.0-71-generic
% 0.01/0.14 % CPULimit : 300
% 0.01/0.14 % WCLimit : 300
% 0.01/0.14 % DateTime : Mon Sep 28 20:19:04 UTC 2026
% 0.01/0.14 % CPUTime :
% 0.01/0.14 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.01/0.16 Running first-order theorem proving
% 0.01/0.16 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.37/0.77 % (3699450)Input is clausal, will run a generic CNF schedule.
% 2.37/0.77 % (3699461)dis-21_1_sil=8000:lcm=predicate:random_seed=3357041866: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)
% 2.37/0.77 % (3699459)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1014574174:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.37/0.77 % (3699460)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2489356498:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.37/0.77 % (3699458)lrs+10_1_sil=8000:sp=occurrence:random_seed=2883206827:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.37/0.77 % (3699455)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=1251282604:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.37/0.77 % (3699456)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3115283635:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.37/0.77 % (3699457)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1181597902:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.37/0.77 % (3699460)First to succeed.
% 2.37/0.77 % (3699460)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3699450"
% 2.37/0.77 % (3699461)Instruction limit reached!
% 2.37/0.77 % (3699461)------------------------------
% 2.37/0.77 % (3699461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/0.77 % (3699461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.77 % (3699461)CaDiCaL version: 2.1.3
% 2.37/0.77 % (3699461)Termination reason: Instruction limit
% 2.37/0.77 % (3699461)Termination phase: Saturation
% 2.37/0.77 % (3699461)Time elapsed: 0.035 s
% 2.37/0.77 % (3699461)Peak memory usage: 89 MB
% 2.37/0.77 % (3699461)Instructions burned: 119 (million)
% 2.37/0.77 % (3699459)Instruction limit reached!
% 2.37/0.77 % (3699459)------------------------------
% 2.37/0.77 % (3699459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/0.77 % (3699459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.77 % (3699459)CaDiCaL version: 2.1.3
% 2.37/0.77 % (3699459)Termination reason: Instruction limit
% 2.37/0.77 % (3699459)Termination phase: Saturation
% 2.37/0.77 % (3699459)Time elapsed: 0.038 s
% 2.37/0.77 % (3699459)Peak memory usage: 88 MB
% 2.37/0.77 % (3699459)Instructions burned: 116 (million)
% 2.37/0.77 % (3699458)Instruction limit reached!
% 2.37/0.77 % (3699458)------------------------------
% 2.37/0.77 % (3699458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/0.77 % (3699458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.77 % (3699458)CaDiCaL version: 2.1.3
% 2.37/0.77 % (3699458)Termination reason: Instruction limit
% 2.37/0.77 % (3699458)Termination phase: Saturation
% 2.37/0.77 % (3699458)Time elapsed: 0.040 s
% 2.37/0.77 % (3699458)Peak memory usage: 89 MB
% 2.37/0.77 % (3699458)Instructions burned: 109 (million)
% 2.37/0.77 % (3699469)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=2746423645:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.37/0.77 % (3699471)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3865870006:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 2.37/0.77 % (3699470)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1259432229:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 2.37/0.77 % (3699469)Also succeeded, but the first one will report.
% 2.37/0.77 % (3699460)Refutation found. Thanks to Tanya!
% 2.37/0.77 % SZS status Unsatisfiable for theBenchmark
% 2.37/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 2.37/0.77 % (3699460)------------------------------
% 2.37/0.77 % (3699460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/0.77 % (3699460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.77 % (3699460)CaDiCaL version: 2.1.3
% 2.37/0.77 % (3699460)Termination reason: Refutation
% 2.37/0.77 % (3699460)Time elapsed: 0.014 s
% 2.37/0.77 % (3699460)Peak memory usage: 89 MB
% 2.37/0.77 % (3699460)Instructions burned: 41 (million)
% 2.37/0.77 % (3699460)------------------------------
% 2.37/0.77 % (3699460)------------------------------
% 2.37/0.77 % (3699450)Success in time 0.318 s
% 2.37/0.77 % Vampire exiting
%------------------------------------------------------------------------------