%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP018+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 11:28:24 AM UTC 2026
% Result : Theorem 24.65s 9.18s
% Output : Refutation 24.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23087,axiom,
! [X0,X1,X2] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
fof(f23089,axiom,
! [X0,X1] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eulp) ).
fof(f23090,conjecture,
! [X0,X1] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eneg__ulp) ).
fof(f23091,negated_conjecture,
~ ! [X0,X1] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))))))),
inference(negated_conjecture,[status(cth)],[f23090]) ).
fof(f23100,plain,
? [X0,X1] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))))))),
inference(ennf_transformation,[],[f23091]) ).
fof(f23148,plain,
s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK20,sK21)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK20,sK21),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK20,sK21),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK20,sK21)),c_2Ebool_2Ethe__value_2E0))))))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21]),skolemize(X0,sK20),skolemize(X1,sK21)],[f23100]) ).
fof(f23332,plain,
s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK20,sK21)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK20,sK21),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK20,sK21),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK20,sK21)),c_2Ebool_2Ethe__value_2E0))))))),
inference(cnf_transformation,[],[f23148]) ).
fof(f23526,plain,
! [X0,X1] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))))),
inference(cnf_transformation,[],[f23089]) ).
fof(f23527,plain,
! [X2,X0,X1] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2))))),
inference(cnf_transformation,[],[f23087]) ).
fof(f23874,plain,
s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK20,sK21)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK20,sK21),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK20,sK21)),c_2Ebool_2Ethe__value_2E0))))))),
inference(forward_demodulation,[],[f23332,f23527]) ).
fof(f23975,plain,
s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK20,sK21)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK20,sK21)),c_2Ebool_2Ethe__value_2E0))))),
inference(forward_demodulation,[],[f23874,f23526]) ).
fof(f23976,plain,
$false,
inference(trivial_inequality_removal,[],[f23975]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP018+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n020.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 12:05:54 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 16.24/7.99 % (3260188)Detected formulas, will run a generic FOF schedule.
% 16.24/7.99 % (3260196)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=425656726:i=109:sd=1:ins=1:gsp=on:ss=axioms_2945 on theBenchmark for (2945ds/109Mi)
% 16.24/7.99 % (3260196)Instruction limit reached!
% 16.24/7.99 % (3260196)------------------------------
% 16.24/7.99 % (3260196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/7.99 % (3260196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/7.99 % (3260196)CaDiCaL version: 2.1.3
% 16.24/7.99 % (3260196)Termination reason: Instruction limit
% 16.24/7.99 % (3260196)Termination phase: SInE selection
% 16.24/7.99 % (3260196)Time elapsed: 0.036 s
% 16.24/7.99 % (3260196)Peak memory usage: 120 MB
% 16.24/7.99 % (3260196)Instructions burned: 111 (million)
% 16.24/7.99 % (3260194)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=1768250062:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2945 on theBenchmark for (2945ds/134677Mi)
% 16.24/7.99 % (3260195)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=2263807490:i=141695:sd=1:nm=32:gsp=on:ss=included_2945 on theBenchmark for (2945ds/141695Mi)
% 16.24/7.99 % (3260193)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=4011579693:i=141193_2945 on theBenchmark for (2945ds/141193Mi)
% 16.24/7.99 % (3260199)dis-21_1_sil=8000:lcm=predicate:random_seed=1278530762:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2945 on theBenchmark for (2945ds/129Mi)
% 16.24/7.99 % (3260198)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3815870642:s2a=on:i=139:gtg=position_2945 on theBenchmark for (2945ds/139Mi)
% 16.24/7.99 % (3260197)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2676712700:i=119:av=off:ss=axioms_2945 on theBenchmark for (2945ds/119Mi)
% 16.24/7.99 % (3260198)Instruction limit reached!
% 16.24/7.99 % (3260198)------------------------------
% 16.24/7.99 % (3260198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/7.99 % (3260198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/7.99 % (3260198)CaDiCaL version: 2.1.3
% 16.24/7.99 % (3260198)Termination reason: Instruction limit
% 16.24/7.99 % (3260198)Termination phase: Property scanning
% 16.24/7.99 % (3260198)Time elapsed: 0.054 s
% 16.24/7.99 % (3260198)Peak memory usage: 121 MB
% 16.24/7.99 % (3260198)Instructions burned: 140 (million)
% 16.24/7.99 % (3260197)Instruction limit reached!
% 16.24/7.99 % (3260197)------------------------------
% 16.24/7.99 % (3260197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/7.99 % (3260197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/7.99 % (3260197)CaDiCaL version: 2.1.3
% 16.24/7.99 % (3260197)Termination reason: Instruction limit
% 16.24/7.99 % (3260197)Termination phase: SInE selection
% 16.24/7.99 % (3260197)Time elapsed: 0.069 s
% 16.24/7.99 % (3260197)Peak memory usage: 120 MB
% 16.24/7.99 % (3260197)Instructions burned: 120 (million)
% 16.24/7.99 % (3260199)Instruction limit reached!
% 16.24/7.99 % (3260199)------------------------------
% 16.24/7.99 % (3260199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/7.99 % (3260199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/7.99 % (3260199)CaDiCaL version: 2.1.3
% 16.24/7.99 % (3260199)Termination reason: Instruction limit
% 16.24/7.99 % (3260199)Termination phase: SInE selection
% 16.24/7.99 % (3260199)Time elapsed: 0.074 s
% 16.24/7.99 % (3260199)Peak memory usage: 120 MB
% 16.24/7.99 % (3260199)Instructions burned: 129 (million)
% 16.24/7.99 % (3260204)lrs+10_1_sil=8000:sp=occurrence:random_seed=2967007452:i=285:sd=3:ss=axioms:sgt=8_2944 on theBenchmark for (2944ds/285Mi)
% 16.24/7.99 % (3260204)Instruction limit reached!
% 16.24/7.99 % (3260204)------------------------------
% 16.24/7.99 % (3260204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.24/7.99 % (3260204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/7.99 % (3260204)CaDiCaL version: 2.1.3
% 16.24/7.99 % (3260204)Termination reason: Instruction limit
% 16.24/7.99 % (3260204)Termination phase: SInE selection
% 16.24/7.99 % (3260204)Time elapsed: 0.090 s
% 16.24/7.99 % (3260204)Peak memory usage: 121 MB
% 16.24/7.99 % (3260204)Instructions burned: 285 (million)
% 12.99/8.93 % (3260208)lrs+10_1_sil=32000:urr=on:br=off:random_seed=249933830:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2943 on theBenchmark for (2943ds/157Mi)
% 12.99/8.93 % (3260210)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=1360464663:s2a=on:i=248:s2at=1.23:gtg=position_2943 on theBenchmark for (2943ds/248Mi)
% 12.99/8.93 % (3260209)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3296244921:i=325:sd=1:ss=axioms:sgt=32_2943 on theBenchmark for (2943ds/325Mi)
% 12.99/8.93 % (3260208)Instruction limit reached!
% 12.99/8.93 % (3260208)------------------------------
% 12.99/8.93 % (3260208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/8.93 % (3260208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/8.93 % (3260208)CaDiCaL version: 2.1.3
% 12.99/8.93 % (3260208)Termination reason: Instruction limit
% 12.99/8.93 % (3260208)Termination phase: Property scanning
% 12.99/8.93 % (3260208)Time elapsed: 0.059 s
% 12.99/8.93 % (3260208)Peak memory usage: 121 MB
% 12.99/8.93 % (3260208)Instructions burned: 159 (million)
% 12.99/8.93 % (3260212)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4005433818:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2941 on theBenchmark for (2941ds/294Mi)
% 12.99/8.93 % (3260210)Instruction limit reached!
% 12.99/8.93 % (3260210)------------------------------
% 12.99/8.93 % (3260210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/8.93 % (3260210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/8.93 % (3260210)CaDiCaL version: 2.1.3
% 12.99/8.93 % (3260210)Termination reason: Instruction limit
% 12.99/8.93 % (3260210)Termination phase: Property scanning
% 12.99/8.93 % (3260210)Time elapsed: 0.092 s
% 12.99/8.93 % (3260210)Peak memory usage: 121 MB
% 12.99/8.93 % (3260210)Instructions burned: 251 (million)
% 12.99/8.93 % (3260212)Instruction limit reached!
% 12.99/8.93 % (3260212)------------------------------
% 12.99/8.93 % (3260212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/8.93 % (3260212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/8.93 % (3260212)CaDiCaL version: 2.1.3
% 12.99/8.93 % (3260212)Termination reason: Instruction limit
% 12.99/8.93 % (3260212)Termination phase: SInE selection
% 12.99/8.93 % (3260212)Time elapsed: 0.086 s
% 12.99/8.93 % (3260212)Peak memory usage: 120 MB
% 12.99/8.93 % (3260212)Instructions burned: 298 (million)
% 12.99/8.93 % (3260216)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2922211055:i=2350_2941 on theBenchmark for (2941ds/2350Mi)
% 12.99/8.93 % (3260209)Instruction limit reached!
% 12.99/8.93 % (3260209)------------------------------
% 12.99/8.93 % (3260209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/8.93 % (3260209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/8.93 % (3260209)CaDiCaL version: 2.1.3
% 12.99/8.93 % (3260209)Termination reason: Instruction limit
% 12.99/8.93 % (3260209)Termination phase: Clausification
% 12.99/8.93 % (3260209)Time elapsed: 0.204 s
% 12.99/8.93 % (3260209)Peak memory usage: 122 MB
% 12.99/8.93 % (3260209)Instructions burned: 326 (million)
% 12.99/8.93 % (3260218)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2586832410:cts=off:i=113:fsr=off:ss=included:sgt=4_2940 on theBenchmark for (2940ds/113Mi)
% 12.99/8.93 % (3260219)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1918493988:i=127:av=off:fsr=off:sup=off_2939 on theBenchmark for (2939ds/127Mi)
% 12.99/8.93 % (3260218)Instruction limit reached!
% 12.99/8.93 % (3260218)------------------------------
% 12.99/8.93 % (3260218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/8.93 % (3260218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/8.93 % (3260218)CaDiCaL version: 2.1.3
% 12.99/8.93 % (3260218)Termination reason: Instruction limit
% 12.99/8.93 % (3260218)Termination phase: SInE selection
% 12.99/8.93 % (3260218)Time elapsed: 0.065 s
% 12.99/8.93 % (3260218)Peak memory usage: 120 MB
% 12.99/8.93 % (3260218)Instructions burned: 113 (million)
% 12.99/8.93 % (3260219)Instruction limit reached!
% 12.99/8.93 % (3260219)------------------------------
% 12.99/8.93 % (3260219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/8.93 % (3260219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/8.93 % (3260219)CaDiCaL version: 2.1.3
% 12.99/8.93 % (3260219)Termination reason: Instruction limit
% 12.99/8.93 % (3260219)Termination phase: Preprocessing 1
% 12.99/8.93 % (3260219)Time elapsed: 0.051 s
% 12.99/8.93 % (3260219)Peak memory usage: 122 MB
% 12.99/8.93 % (3260219)Instructions burned: 127 (million)
% 12.99/8.93 % (3260221)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3103962796:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2939 on theBenchmark for (2939ds/114Mi)
% 12.99/8.93 % (3260221)Instruction limit reached!
% 12.99/8.93 % (3260221)------------------------------
% 12.99/8.93 % (3260221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/8.93 % (3260221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/8.93 % (3260221)CaDiCaL version: 2.1.3
% 12.99/8.93 % (3260221)Termination reason: Instruction limit
% 12.99/8.93 % (3260221)Termination phase: Property scanning
% 12.99/8.93 % (3260221)Time elapsed: 0.044 s
% 12.99/8.93 % (3260221)Peak memory usage: 121 MB
% 12.99/8.93 % (3260221)Instructions burned: 116 (million)
% 12.99/8.93 % (3260225)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2932753211:i=437:sd=1:aac=none:ss=included_2938 on theBenchmark for (2938ds/437Mi)
% 12.99/8.93 % (3260224)lrs+10_1_sil=8000:sp=occurrence:random_seed=168484215:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2938 on theBenchmark for (2938ds/907Mi)
% 12.99/8.93 % (3260227)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=955791426:i=5202:ss=axioms:sgt=16_2937 on theBenchmark for (2937ds/5202Mi)
% 12.99/8.93 % (3260225)Instruction limit reached!
% 12.99/8.93 % (3260225)------------------------------
% 12.99/8.93 % (3260225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/8.93 % (3260225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/8.93 % (3260225)CaDiCaL version: 2.1.3
% 12.99/8.93 % (3260225)Termination reason: Instruction limit
% 12.99/8.93 % (3260225)Termination phase: Preprocessing 3
% 12.99/8.93 % (3260225)Time elapsed: 0.154 s
% 12.99/8.93 % (3260225)Peak memory usage: 124 MB
% 12.99/8.93 % (3260225)Instructions burned: 439 (million)
% 12.99/8.93 % (3260231)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4250458737:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2935 on theBenchmark for (2935ds/134Mi)
% 12.99/8.93 % (3260231)Instruction limit reached!
% 12.99/8.93 % (3260231)------------------------------
% 12.99/8.93 % (3260231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/8.93 % (3260231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/8.93 % (3260231)CaDiCaL version: 2.1.3
% 12.99/8.93 % (3260231)Termination reason: Instruction limit
% 12.99/8.93 % (3260231)Termination phase: SInE selection
% 12.99/8.93 % (3260231)Time elapsed: 0.043 s
% 12.99/8.93 % (3260231)Peak memory usage: 120 MB
% 12.99/8.93 % (3260231)Instructions burned: 134 (million)
% 12.99/8.93 % (3260233)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2331265749:st=8:i=592:sd=3:ep=RST:ss=axioms_2933 on theBenchmark for (2933ds/592Mi)
% 12.99/8.93 % (3260224)Instruction limit reached!
% 12.99/8.93 % (3260224)------------------------------
% 12.99/8.93 % (3260224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/8.93 % (3260224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/8.93 % (3260224)CaDiCaL version: 2.1.3
% 12.99/8.93 % (3260224)Termination reason: Instruction limit
% 12.99/8.93 % (3260224)Termination phase: Preprocessing 3
% 12.99/8.93 % (3260224)Time elapsed: 0.513 s
% 12.99/8.93 % (3260224)Peak memory usage: 131 MB
% 12.99/8.93 % (3260224)Instructions burned: 908 (million)
% 12.99/8.93 % (3260233)Instruction limit reached!
% 12.99/8.93 % (3260233)------------------------------
% 12.99/8.93 % (3260233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/8.93 % (3260233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/8.93 % (3260233)CaDiCaL version: 2.1.3
% 12.99/8.93 % (3260233)Termination reason: Instruction limit
% 12.99/8.93 % (3260233)Termination phase: Preprocessing 1
% 12.99/8.93 % (3260233)Time elapsed: 0.192 s
% 12.99/8.93 % (3260233)Peak memory usage: 122 MB
% 12.99/8.93 % (3260233)Instructions burned: 592 (million)
% 12.99/8.93 % (3260235)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1801924414:st=3:i=13193:sd=3:ss=axioms_2931 on theBenchmark for (2931ds/13193Mi)
% 12.99/8.93 % (3260236)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1670385809:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2930 on theBenchmark for (2930ds/125Mi)
% 24.65/9.18 % (3260236)Instruction limit reached!
% 24.65/9.18 % (3260236)------------------------------
% 24.65/9.18 % (3260236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.65/9.18 % (3260236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.65/9.18 % (3260236)CaDiCaL version: 2.1.3
% 24.65/9.18 % (3260236)Termination reason: Instruction limit
% 24.65/9.18 % (3260236)Termination phase: Property scanning
% 24.65/9.18 % (3260236)Time elapsed: 0.026 s
% 24.65/9.18 % (3260236)Peak memory usage: 121 MB
% 24.65/9.18 % (3260236)Instructions burned: 129 (million)
% 24.65/9.18 % (3260239)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=337482054:i=134:gtgl=5:slsql=off:gtg=exists_sym_2928 on theBenchmark for (2928ds/134Mi)
% 24.65/9.18 % (3260239)Instruction limit reached!
% 24.65/9.18 % (3260239)------------------------------
% 24.65/9.18 % (3260239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.65/9.18 % (3260239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.65/9.18 % (3260239)CaDiCaL version: 2.1.3
% 24.65/9.18 % (3260239)Termination reason: Instruction limit
% 24.65/9.18 % (3260239)Termination phase: Property scanning
% 24.65/9.18 % (3260239)Time elapsed: 0.028 s
% 24.65/9.18 % (3260239)Peak memory usage: 121 MB
% 24.65/9.18 % (3260239)Instructions burned: 139 (million)
% 24.65/9.18 % (3260216)Instruction limit reached!
% 24.65/9.18 % (3260216)------------------------------
% 24.65/9.18 % (3260216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.65/9.18 % (3260216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.65/9.18 % (3260216)CaDiCaL version: 2.1.3
% 24.65/9.18 % (3260216)Termination reason: Instruction limit
% 24.65/9.18 % (3260216)Termination phase: Preprocessing 3
% 24.65/9.18 % (3260216)Time elapsed: 1.260 s
% 24.65/9.18 % (3260216)Peak memory usage: 162 MB
% 24.65/9.18 % (3260216)Instructions burned: 2353 (million)
% 24.65/9.18 % (3260241)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2481868331:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2927 on theBenchmark for (2927ds/141Mi)
% 24.65/9.18 % (3260241)Instruction limit reached!
% 24.65/9.18 % (3260241)------------------------------
% 24.65/9.18 % (3260241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.65/9.18 % (3260241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.65/9.18 % (3260241)CaDiCaL version: 2.1.3
% 24.65/9.18 % (3260241)Termination reason: Instruction limit
% 24.65/9.18 % (3260241)Termination phase: SInE selection
% 24.65/9.18 % (3260241)Time elapsed: 0.046 s
% 24.65/9.18 % (3260241)Peak memory usage: 120 MB
% 24.65/9.18 % (3260241)Instructions burned: 144 (million)
% 24.65/9.18 % (3260242)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=719275803:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2926 on theBenchmark for (2926ds/431Mi)
% 24.65/9.18 % (3260244)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1605032905:i=6060:aac=none:ins=25_2925 on theBenchmark for (2925ds/6060Mi)
% 24.65/9.18 % (3260242)First to succeed.
% 24.65/9.18 % (3260242)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3260188"
% 24.65/9.18 % (3260242)Refutation found. Thanks to Tanya!
% 24.65/9.18 % SZS status Theorem for theBenchmark
% 24.65/9.18 % SZS output start Proof for theBenchmark
% See solution above
% 24.65/9.18 % (3260242)------------------------------
% 24.65/9.18 % (3260242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.65/9.18 % (3260242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.65/9.18 % (3260242)CaDiCaL version: 2.1.3
% 24.65/9.18 % (3260242)Termination reason: Refutation
% 24.65/9.18 % (3260242)Time elapsed: 0.245 s
% 24.65/9.18 % (3260242)Peak memory usage: 126 MB
% 24.65/9.18 % (3260242)Instructions burned: 424 (million)
% 24.65/9.18 % (3260242)------------------------------
% 24.65/9.18 % (3260242)------------------------------
% 24.65/9.18 % (3260188)Success in time 8.045 s
% 24.65/9.18 % Vampire exiting
%------------------------------------------------------------------------------