%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW266+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 01:29:58 PM UTC 2026
% Result : Theorem 17.54s 3.47s
% Output : Refutation 18.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 19 unt; 0 def)
% Number of atoms : 35 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f69,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096cmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_060_061_At_A_094_Ak_A_K_A_It_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_J_096) ).
fof(f70,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_th30) ).
fof(f118,axiom,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__commute) ).
fof(f133,axiom,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__1) ).
fof(f862,axiom,
! [X0,X1,X2,X3] :
( class_Orderings_Oorder(X3)
=> ( c_Orderings_Oord__class_Oless(X3,X2,X1)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
=> c_Orderings_Oord__class_Oless(X3,X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I7_J) ).
fof(f1169,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).
fof(f1288,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1289,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),
inference(negated_conjecture,[status(cth)],[f1288]) ).
fof(f1292,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),
inference(flattening,[],[f1289]) ).
fof(f2212,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
| ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(ennf_transformation,[],[f862]) ).
fof(f2213,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
| ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Oorder(X3) ),
inference(flattening,[],[f2212]) ).
fof(f2820,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)))),
inference(cnf_transformation,[],[f69]) ).
fof(f2821,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(cnf_transformation,[],[f70]) ).
fof(f2878,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
inference(cnf_transformation,[],[f118]) ).
fof(f2901,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) = X0,
inference(cnf_transformation,[],[f133]) ).
fof(f3902,plain,
! [X2,X3,X0,X1] :
( ~ class_Orderings_Oorder(X3)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
| ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
| c_Orderings_Oord__class_Oless(X3,X0,X1) ),
inference(cnf_transformation,[],[f2213]) ).
fof(f4263,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1169]) ).
fof(f4382,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),
inference(cnf_transformation,[],[f1292]) ).
fof(f4594,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),
inference(forward_demodulation,[],[f2821,f2878]) ).
fof(f4595,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))),
inference(forward_demodulation,[],[f2820,f2878]) ).
fof(f4602,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),
inference(forward_demodulation,[],[f4594,f2901]) ).
fof(f4604,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),
inference(forward_demodulation,[],[f4602,f2878]) ).
fof(f5226,plain,
$false,
inference(unit_resulting_resolution,[],[f3902,f4604,f4382,f4595,f4263]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW266+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n013.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.27 % DateTime : Mon Sep 28 13:25:06 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.32 Running first-order theorem proving
% 0.24/0.32 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
% 17.54/3.46 % (1174937)Detected formulas, will run a generic FOF schedule.
% 17.54/3.46 % (1174945)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2032793675:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.54/3.46 % (1174948)dis-21_1_sil=8000:lcm=predicate:random_seed=3702524623:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 17.54/3.46 % (1174945)Refutation not found, incomplete strategy
% 17.54/3.46 % (1174945)------------------------------
% 17.54/3.46 % (1174945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.46 % (1174945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.46 % (1174945)CaDiCaL version: 2.1.3
% 17.54/3.46 % (1174945)Termination reason: Refutation not found, incomplete strategy
% 17.54/3.46 % (1174945)Time elapsed: 0.009 s
% 17.54/3.46 % (1174945)Peak memory usage: 89 MB
% 17.54/3.46 % (1174945)Instructions burned: 14 (million)
% 17.54/3.46 % (1174943)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3112896248:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.54/3.46 % (1174942)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=3572591475:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.54/3.46 % (1174946)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2647451039:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.54/3.46 % (1174947)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4268474076:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.54/3.46 % (1174948)Instruction limit reached!
% 17.54/3.46 % (1174948)------------------------------
% 17.54/3.46 % (1174948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.46 % (1174948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.46 % (1174948)CaDiCaL version: 2.1.3
% 17.54/3.46 % (1174948)Termination reason: Instruction limit
% 17.54/3.46 % (1174948)Termination phase: Saturation
% 17.54/3.46 % (1174948)Time elapsed: 0.125 s
% 17.54/3.46 % (1174948)Peak memory usage: 91 MB
% 17.54/3.46 % (1174948)Instructions burned: 129 (million)
% 17.54/3.46 % (1174944)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3651005488:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.54/3.46 % (1174946)Instruction limit reached!
% 17.54/3.46 % (1174946)------------------------------
% 17.54/3.46 % (1174946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.46 % (1174946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.46 % (1174946)CaDiCaL version: 2.1.3
% 17.54/3.46 % (1174946)Termination reason: Instruction limit
% 17.54/3.46 % (1174946)Termination phase: Saturation
% 17.54/3.46 % (1174946)Time elapsed: 0.117 s
% 17.54/3.46 % (1174946)Peak memory usage: 89 MB
% 17.54/3.46 % (1174946)Instructions burned: 120 (million)
% 17.54/3.46 % (1174947)Instruction limit reached!
% 17.54/3.46 % (1174947)------------------------------
% 17.54/3.46 % (1174947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.46 % (1174947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.46 % (1174947)CaDiCaL version: 2.1.3
% 17.54/3.46 % (1174947)Termination reason: Instruction limit
% 17.54/3.46 % (1174947)Termination phase: Saturation
% 17.54/3.46 % (1174947)Time elapsed: 0.126 s
% 17.54/3.46 % (1174947)Peak memory usage: 91 MB
% 17.54/3.46 % (1174947)Instructions burned: 139 (million)
% 17.54/3.46 % (1174945)------------------------------
% 17.54/3.46 % (1174945)------------------------------
% 17.54/3.46 % (1174955)lrs+10_1_sil=8000:sp=occurrence:random_seed=736362561:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 17.54/3.46 % (1174958)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1641258771:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 17.54/3.46 % (1174957)lrs+10_1_sil=32000:urr=on:br=off:random_seed=673343340:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 17.54/3.46 % (1174959)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2048066041:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 17.54/3.46 % (1174957)Instruction limit reached!
% 17.54/3.46 % (1174957)------------------------------
% 17.54/3.46 % (1174957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.46 % (1174957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.46 % (1174957)CaDiCaL version: 2.1.3
% 17.54/3.46 % (1174957)Termination reason: Instruction limit
% 17.54/3.46 % (1174957)Termination phase: Saturation
% 17.54/3.46 % (1174957)Time elapsed: 0.137 s
% 17.54/3.46 % (1174957)Peak memory usage: 91 MB
% 17.54/3.46 % (1174957)Instructions burned: 157 (million)
% 17.54/3.46 % (1174958)Instruction limit reached!
% 17.54/3.46 % (1174958)------------------------------
% 17.54/3.46 % (1174958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.46 % (1174958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.46 % (1174958)CaDiCaL version: 2.1.3
% 17.54/3.46 % (1174958)Termination reason: Instruction limit
% 17.54/3.46 % (1174958)Termination phase: Saturation
% 17.54/3.46 % (1174958)Time elapsed: 0.165 s
% 17.54/3.46 % (1174958)Peak memory usage: 91 MB
% 17.54/3.46 % (1174958)Instructions burned: 327 (million)
% 17.54/3.46 % (1174955)Instruction limit reached!
% 17.54/3.46 % (1174955)------------------------------
% 17.54/3.46 % (1174955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.46 % (1174955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.46 % (1174955)CaDiCaL version: 2.1.3
% 17.54/3.46 % (1174955)Termination reason: Instruction limit
% 17.54/3.46 % (1174955)Termination phase: Saturation
% 17.54/3.46 % (1174955)Time elapsed: 0.295 s
% 17.54/3.46 % (1174955)Peak memory usage: 92 MB
% 17.54/3.46 % (1174955)Instructions burned: 285 (million)
% 17.54/3.46 % (1174959)Instruction limit reached!
% 17.54/3.46 % (1174959)------------------------------
% 17.54/3.46 % (1174959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.46 % (1174959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.46 % (1174959)CaDiCaL version: 2.1.3
% 17.54/3.46 % (1174959)Termination reason: Instruction limit
% 17.54/3.46 % (1174959)Termination phase: Saturation
% 17.54/3.46 % (1174959)Time elapsed: 0.231 s
% 17.54/3.46 % (1174959)Peak memory usage: 92 MB
% 17.54/3.46 % (1174959)Instructions burned: 249 (million)
% 17.54/3.46 % (1174964)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1120893353:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 17.54/3.46 % (1174965)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4174644306:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 17.54/3.46 % (1174964)Instruction limit reached!
% 17.54/3.46 % (1174964)------------------------------
% 17.54/3.46 % (1174964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.46 % (1174964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.46 % (1174964)CaDiCaL version: 2.1.3
% 17.54/3.46 % (1174964)Termination reason: Instruction limit
% 17.54/3.46 % (1174964)Termination phase: Saturation
% 17.54/3.46 % (1174964)Time elapsed: 0.147 s
% 17.54/3.46 % (1174964)Peak memory usage: 91 MB
% 17.54/3.46 % (1174964)Instructions burned: 295 (million)
% 17.54/3.46 % (1174966)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2495032772:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 17.54/3.47 % (1174967)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2506142124:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 17.54/3.47 % (1174966)Instruction limit reached!
% 17.54/3.47 % (1174966)------------------------------
% 17.54/3.47 % (1174966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.47 % (1174966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.47 % (1174966)CaDiCaL version: 2.1.3
% 17.54/3.47 % (1174966)Termination reason: Instruction limit
% 17.54/3.47 % (1174966)Termination phase: Saturation
% 17.54/3.47 % (1174966)Time elapsed: 0.109 s
% 17.54/3.47 % (1174966)Peak memory usage: 91 MB
% 17.54/3.47 % (1174966)Instructions burned: 113 (million)
% 17.54/3.47 % (1174967)Instruction limit reached!
% 17.54/3.47 % (1174967)------------------------------
% 17.54/3.47 % (1174967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.47 % (1174967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.47 % (1174967)CaDiCaL version: 2.1.3
% 17.54/3.47 % (1174967)Termination reason: Instruction limit
% 17.54/3.47 % (1174967)Termination phase: Saturation
% 17.54/3.47 % (1174967)Time elapsed: 0.112 s
% 17.54/3.47 % (1174967)Peak memory usage: 90 MB
% 17.54/3.47 % (1174967)Instructions burned: 128 (million)
% 17.54/3.47 % (1174970)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4108238834:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 17.54/3.47 % (1174973)lrs+10_1_sil=8000:sp=occurrence:random_seed=929234687:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 17.54/3.47 % (1174970)Instruction limit reached!
% 17.54/3.47 % (1174970)------------------------------
% 17.54/3.47 % (1174970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.47 % (1174970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.47 % (1174970)CaDiCaL version: 2.1.3
% 17.54/3.47 % (1174970)Termination reason: Instruction limit
% 17.54/3.47 % (1174970)Termination phase: Saturation
% 17.54/3.47 % (1174970)Time elapsed: 0.103 s
% 17.54/3.47 % (1174970)Peak memory usage: 89 MB
% 17.54/3.47 % (1174970)Instructions burned: 114 (million)
% 17.54/3.47 % (1174974)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2199060333:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 17.54/3.47 % (1174977)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1214521560:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 17.54/3.47 % (1174973)Instruction limit reached!
% 17.54/3.47 % (1174973)------------------------------
% 17.54/3.47 % (1174973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.47 % (1174973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.47 % (1174973)CaDiCaL version: 2.1.3
% 17.54/3.47 % (1174973)Termination reason: Instruction limit
% 17.54/3.47 % (1174973)Termination phase: Saturation
% 17.54/3.47 % (1174973)Time elapsed: 0.482 s
% 17.54/3.47 % (1174973)Peak memory usage: 98 MB
% 17.54/3.47 % (1174973)Instructions burned: 908 (million)
% 17.54/3.47 % (1174974)Instruction limit reached!
% 17.54/3.47 % (1174974)------------------------------
% 17.54/3.47 % (1174974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.47 % (1174974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.47 % (1174974)CaDiCaL version: 2.1.3
% 17.54/3.47 % (1174974)Termination reason: Instruction limit
% 17.54/3.47 % (1174974)Termination phase: Saturation
% 17.54/3.47 % (1174974)Time elapsed: 0.382 s
% 17.54/3.47 % (1174974)Peak memory usage: 93 MB
% 17.54/3.47 % (1174974)Instructions burned: 437 (million)
% 17.54/3.47 % (1174943)First to succeed.
% 17.54/3.47 % (1174943)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1174937"
% 17.54/3.47 % (1174982)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2131837055:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 17.54/3.47 % (1174982)Instruction limit reached!
% 17.54/3.47 % (1174982)------------------------------
% 17.54/3.47 % (1174982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.54/3.47 % (1174982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/3.47 % (1174982)CaDiCaL version: 2.1.3
% 17.54/3.47 % (1174982)Termination reason: Instruction limit
% 17.54/3.47 % (1174982)Termination phase: Saturation
% 17.54/3.47 % (1174982)Time elapsed: 0.097 s
% 17.54/3.47 % (1174982)Peak memory usage: 92 MB
% 17.54/3.47 % (1174982)Instructions burned: 136 (million)
% 17.54/3.47 % (1174983)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2622901801:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 17.54/3.47 % (1174985)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2739974409:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 17.54/3.47 % (1174943)Refutation found. Thanks to Tanya!
% 17.54/3.47 % SZS status Theorem for theBenchmark
% 17.54/3.47 % SZS output start Proof for theBenchmark
% See solution above
% 18.45/3.71 % (1174943)------------------------------
% 18.45/3.71 % (1174943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.45/3.71 % (1174943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.45/3.71 % (1174943)CaDiCaL version: 2.1.3
% 18.45/3.71 % (1174943)Termination reason: Refutation
% 18.45/3.71 % (1174943)Time elapsed: 1.804 s
% 18.45/3.71 % (1174943)Peak memory usage: 148 MB
% 18.45/3.71 % (1174943)Instructions burned: 1724 (million)
% 18.45/3.71 % (1174943)------------------------------
% 18.45/3.71 % (1174943)------------------------------
% 18.45/3.71 % (1174937)Success in time 2.541 s
% 18.45/3.71 % Vampire exiting
%------------------------------------------------------------------------------