%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP018+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 11:28:22 AM UTC 2026
% Result : Theorem 3.72s 6.53s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 14 unt; 1 def)
% Number of atoms : 14 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 3 ( 1 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(f30,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/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
fof(f31,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/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eulp) ).
fof(f34,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/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eneg__ulp) ).
fof(f35,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)],[f34]) ).
fof(f36,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,[],[f35]) ).
fof(f37,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(sK0,sK1)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0))))))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f36]) ).
fof(f38,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(sK0,sK1)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0))))))),
inference(cnf_transformation,[],[f37]) ).
fof(f39,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,[],[f30]) ).
fof(f40,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,[],[f31]) ).
fof(f41,definition,
~ sP2(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(sK0,sK1)),c_2Ebool_2Ethe__value_2E0)))))),
introduced(definition,[new_symbols(definition,[sP2])],[inequality_splitting_name_introduction]) ).
fof(f42,plain,
sP2(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0)))))))),
inference(inequality_splitting,[],[f38,f41]) ).
fof(f43,plain,
~ sP2(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(sK0,sK1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0)))))))),
inference(forward_demodulation,[],[f41,f40]) ).
fof(f44,plain,
~ sP2(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0)))))))),
inference(forward_demodulation,[],[f43,f39]) ).
fof(f45,plain,
$false,
inference(forward_subsumption_resolution,[],[f44,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP018+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.40 % Computer : n013.cluster.edu
% 0.13/5.40 % Model : x86_64 x86_64
% 0.13/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.40 % Memory : 8046.5625MB
% 0.13/5.40 % OS : Linux 6.8.0-71-generic
% 0.13/5.40 % CPULimit : 300
% 0.13/5.40 % WCLimit : 300
% 0.13/5.41 % DateTime : Sun Sep 27 12:03:57 UTC 2026
% 0.13/5.41 % CPUTime :
% 0.13/5.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.44 Running first-order theorem proving
% 0.13/5.44 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
% 3.72/6.53 % (112745)Detected formulas, will run a generic FOF schedule.
% 3.72/6.53 % (112750)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=4210739536:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.72/6.53 % (112751)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=2569214866:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.72/6.53 % (112752)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=93413983:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.72/6.53 % (112753)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2094714186:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.72/6.53 % (112756)dis-21_1_sil=8000:lcm=predicate:random_seed=2414792979: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)
% 3.72/6.53 % (112754)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3256066678:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.72/6.53 % (112753)First to succeed.
% 3.72/6.53 % (112754)Also succeeded, but the first one will report.
% 3.72/6.53 % (112753)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-112745"
% 3.72/6.53 % (112755)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2342297532:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.72/6.53 % (112755)Also succeeded, but the first one will report.
% 3.72/6.53 % (112756)Instruction limit reached!
% 3.72/6.53 % (112756)------------------------------
% 3.72/6.53 % (112756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/6.53 % (112756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/6.53 % (112756)CaDiCaL version: 2.1.3
% 3.72/6.53 % (112756)Termination reason: Instruction limit
% 3.72/6.53 % (112756)Termination phase: Saturation
% 3.72/6.53 % (112756)Time elapsed: 0.070 s
% 3.72/6.53 % (112756)Peak memory usage: 88 MB
% 3.72/6.53 % (112756)Instructions burned: 131 (million)
% 3.72/6.53 % (112764)lrs+10_1_sil=8000:sp=occurrence:random_seed=2353995211:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.72/6.53 % (112764)Also succeeded, but the first one will report.
% 3.72/6.53 % (112753)Refutation found. Thanks to Tanya!
% 3.72/6.53 % SZS status Theorem for theBenchmark
% 3.72/6.53 % SZS output start Proof for theBenchmark
% See solution above
% 3.72/6.53 % (112753)------------------------------
% 3.72/6.53 % (112753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/6.53 % (112753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/6.53 % (112753)CaDiCaL version: 2.1.3
% 3.72/6.53 % (112753)Termination reason: Refutation
% 3.72/6.53 % (112753)Time elapsed: 0.002 s
% 3.72/6.53 % (112753)Peak memory usage: 88 MB
% 3.72/6.53 % (112753)Instructions burned: 1 (million)
% 3.72/6.53 % (112753)------------------------------
% 3.72/6.53 % (112753)------------------------------
% 3.72/6.53 % (112745)Success in time 0.441 s
% 3.72/6.53 % Vampire exiting
%------------------------------------------------------------------------------