%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW217+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 01:29:52 PM UTC 2026
% Result : Theorem 6.62s 1.68s
% Output : Refutation 6.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 15 unt; 0 def)
% Number of atoms : 31 ( 2 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 : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_dme) ).
fof(f8,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096cmod_A_Iw_A_N_Az_J_A_K_Acmod_A_Ipoly_Acs_A_Iw_A_N_Az_J_J_A_060_061_Ad_A_K_Am_096) ).
fof(f124,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/sandbox/benchmark/theBenchmark.p',fact_real__mult__commute) ).
fof(f563,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/sandbox/benchmark/theBenchmark.p',fact_xt1_I7_J) ).
fof(f1154,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).
fof(f1260,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1261,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(negated_conjecture,[status(cth)],[f1260]) ).
fof(f1266,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(flattening,[],[f1261]) ).
fof(f1938,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,[],[f563]) ).
fof(f1939,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,[],[f1938]) ).
fof(f2770,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
inference(cnf_transformation,[],[f5]) ).
fof(f2774,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
inference(cnf_transformation,[],[f8]) ).
fof(f2912,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,[],[f124]) ).
fof(f3621,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,[],[f1939]) ).
fof(f4401,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1154]) ).
fof(f4507,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(cnf_transformation,[],[f1266]) ).
fof(f4912,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
inference(forward_demodulation,[],[f2774,f2912]) ).
fof(f4913,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),v_e),
inference(forward_demodulation,[],[f2770,f2912]) ).
fof(f5061,plain,
$false,
inference(unit_resulting_resolution,[],[f3621,f4913,f4507,f4912,f4401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW217+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 13:19:35 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 5.65/1.58 % (156108)Detected formulas, will run a generic FOF schedule.
% 5.65/1.58 % (156114)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=682583693:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.65/1.58 % (156115)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=1621139462:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.65/1.58 % (156118)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3797335134:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.65/1.58 % (156116)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3200897372:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.65/1.58 % (156117)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2459776371:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.65/1.58 % (156119)dis-21_1_sil=8000:lcm=predicate:random_seed=1067488083: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)
% 5.65/1.58 % (156113)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=2396934366:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.65/1.58 % (156116)Refutation not found, incomplete strategy
% 5.65/1.58 % (156116)------------------------------
% 5.65/1.58 % (156116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.58 % (156116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.58 % (156116)CaDiCaL version: 2.1.3
% 5.65/1.58 % (156116)Termination reason: Refutation not found, incomplete strategy
% 5.65/1.58 % (156116)Time elapsed: 0.014 s
% 5.65/1.58 % (156116)Peak memory usage: 89 MB
% 5.65/1.58 % (156116)Instructions burned: 24 (million)
% 5.65/1.58 % (156117)Instruction limit reached!
% 5.65/1.58 % (156117)------------------------------
% 5.65/1.58 % (156117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.58 % (156117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.58 % (156117)CaDiCaL version: 2.1.3
% 5.65/1.58 % (156117)Termination reason: Instruction limit
% 5.65/1.58 % (156117)Termination phase: Saturation
% 5.65/1.58 % (156117)Time elapsed: 0.064 s
% 5.65/1.58 % (156117)Peak memory usage: 89 MB
% 5.65/1.58 % (156117)Instructions burned: 119 (million)
% 5.65/1.58 % (156119)Instruction limit reached!
% 5.65/1.58 % (156119)------------------------------
% 5.65/1.58 % (156119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.58 % (156119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.58 % (156119)CaDiCaL version: 2.1.3
% 5.65/1.58 % (156119)Termination reason: Instruction limit
% 5.65/1.58 % (156119)Termination phase: Saturation
% 5.65/1.58 % (156119)Time elapsed: 0.066 s
% 5.65/1.58 % (156119)Peak memory usage: 91 MB
% 5.65/1.58 % (156119)Instructions burned: 130 (million)
% 5.65/1.58 % (156118)Instruction limit reached!
% 5.65/1.58 % (156118)------------------------------
% 5.65/1.58 % (156118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.58 % (156118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.58 % (156118)CaDiCaL version: 2.1.3
% 5.65/1.58 % (156118)Termination reason: Instruction limit
% 5.65/1.58 % (156118)Termination phase: Saturation
% 5.65/1.58 % (156118)Time elapsed: 0.076 s
% 5.65/1.58 % (156118)Peak memory usage: 91 MB
% 5.65/1.58 % (156118)Instructions burned: 140 (million)
% 5.65/1.58 % (156128)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3126768004:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.65/1.58 % (156127)lrs+10_1_sil=8000:sp=occurrence:random_seed=1297209059:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.65/1.58 % (156129)lrs+1011_1_sil=32000:sp=occurrence:random_seed=716143515:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.65/1.58 % (156116)------------------------------
% 5.65/1.58 % (156116)------------------------------
% 5.65/1.58 % (156128)Instruction limit reached!
% 5.65/1.58 % (156128)------------------------------
% 5.65/1.58 % (156128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.58 % (156128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.67 % (156128)CaDiCaL version: 2.1.3
% 6.62/1.67 % (156128)Termination reason: Instruction limit
% 6.62/1.67 % (156128)Termination phase: Saturation
% 6.62/1.67 % (156128)Time elapsed: 0.089 s
% 6.62/1.67 % (156128)Peak memory usage: 91 MB
% 6.62/1.67 % (156128)Instructions burned: 157 (million)
% 6.62/1.67 % (156127)Instruction limit reached!
% 6.62/1.67 % (156127)------------------------------
% 6.62/1.67 % (156127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.67 % (156127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.67 % (156127)CaDiCaL version: 2.1.3
% 6.62/1.67 % (156127)Termination reason: Instruction limit
% 6.62/1.67 % (156127)Termination phase: Saturation
% 6.62/1.67 % (156127)Time elapsed: 0.182 s
% 6.62/1.67 % (156127)Peak memory usage: 92 MB
% 6.62/1.67 % (156127)Instructions burned: 285 (million)
% 6.62/1.67 % (156133)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=2693424171:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.62/1.67 % (156129)Instruction limit reached!
% 6.62/1.67 % (156129)------------------------------
% 6.62/1.67 % (156129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.67 % (156129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.67 % (156129)CaDiCaL version: 2.1.3
% 6.62/1.67 % (156129)Termination reason: Instruction limit
% 6.62/1.67 % (156129)Termination phase: Saturation
% 6.62/1.67 % (156129)Time elapsed: 0.205 s
% 6.62/1.67 % (156129)Peak memory usage: 92 MB
% 6.62/1.67 % (156129)Instructions burned: 326 (million)
% 6.62/1.67 % (156134)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=87867995:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.62/1.67 % (156135)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=293599556:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.62/1.67 % (156137)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3427029411:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.62/1.67 % (156114)First to succeed.
% 6.62/1.67 % (156114)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-156108"
% 6.62/1.67 % (156133)Instruction limit reached!
% 6.62/1.67 % (156133)------------------------------
% 6.62/1.67 % (156133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.67 % (156133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.67 % (156133)CaDiCaL version: 2.1.3
% 6.62/1.67 % (156133)Termination reason: Instruction limit
% 6.62/1.67 % (156133)Termination phase: Saturation
% 6.62/1.67 % (156133)Time elapsed: 0.141 s
% 6.62/1.67 % (156133)Peak memory usage: 92 MB
% 6.62/1.67 % (156133)Instructions burned: 249 (million)
% 6.62/1.67 % (156134)Instruction limit reached!
% 6.62/1.67 % (156134)------------------------------
% 6.62/1.67 % (156134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.67 % (156134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.67 % (156134)CaDiCaL version: 2.1.3
% 6.62/1.67 % (156134)Termination reason: Instruction limit
% 6.62/1.67 % (156134)Termination phase: Saturation
% 6.62/1.67 % (156134)Time elapsed: 0.155 s
% 6.62/1.67 % (156134)Peak memory usage: 91 MB
% 6.62/1.68 % (156134)Instructions burned: 296 (million)
% 6.62/1.68 % (156137)Instruction limit reached!
% 6.62/1.68 % (156137)------------------------------
% 6.62/1.68 % (156137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.68 % (156137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.68 % (156137)CaDiCaL version: 2.1.3
% 6.62/1.68 % (156137)Termination reason: Instruction limit
% 6.62/1.68 % (156137)Termination phase: Saturation
% 6.62/1.68 % (156137)Time elapsed: 0.058 s
% 6.62/1.68 % (156137)Peak memory usage: 90 MB
% 6.62/1.68 % (156137)Instructions burned: 113 (million)
% 6.62/1.68 % (156141)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1217540358:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.62/1.68 % (156114)Refutation found. Thanks to Tanya!
% 6.62/1.68 % SZS status Theorem for theBenchmark
% 6.62/1.68 % SZS output start Proof for theBenchmark
% See solution above
% 6.62/1.68 % (156114)------------------------------
% 6.62/1.68 % (156114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.68 % (156114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.68 % (156114)CaDiCaL version: 2.1.3
% 6.62/1.68 % (156114)Termination reason: Refutation
% 6.62/1.68 % (156114)Time elapsed: 0.572 s
% 6.62/1.68 % (156114)Peak memory usage: 150 MB
% 6.62/1.68 % (156114)Instructions burned: 1644 (million)
% 6.62/1.68 % (156114)------------------------------
% 6.62/1.68 % (156114)------------------------------
% 6.62/1.68 % (156108)Success in time 0.91 s
% 6.62/1.68 % Vampire exiting
%------------------------------------------------------------------------------