%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP023^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 : Wed Sep 30 08:10:23 AM UTC 2026
% Result : Theorem 0.20s 0.32s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP023^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:35:16 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.32 % (2108730)Will run a generic schedule for satisfiability detection.
% 0.20/0.32 % (2108741)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=932593982:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.32 % (2108736)% WARNING: option uhcvi not known.
% 0.20/0.32 % (2108735)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=449016067_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.32 % (2108737)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=644753798:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.32 % (2108736)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=200825824:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.32 % (2108738)dis+10_1_sil=32000:sp=arity:random_seed=1993513106:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.32 % (2108739)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=915918952:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.32 % (2108740)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3574969834:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.32 % (2108736)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.32 % (2108739)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.32 % Exception at run slice level
% 0.20/0.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.32 % (2108736)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.32 % (2108749)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2397383745:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.32 % Exception at run slice level
% 0.20/0.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.32 % (2108741)Instruction limit reached!
% 0.20/0.32 % (2108741)------------------------------
% 0.20/0.32 % (2108741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (2108741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (2108741)CaDiCaL version: 2.1.3
% 0.20/0.32 % (2108741)Termination reason: Instruction limit
% 0.20/0.32 % (2108741)Termination phase: Saturation
% 0.20/0.32 % (2108741)Time elapsed: 0.044 s
% 0.20/0.32 % (2108741)Peak memory usage: 13 MB
% 0.20/0.32 % (2108741)Instructions burned: 159 (million)
% 0.20/0.32 % (2108752)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1383188325:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.20/0.32 % (2108752)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.32 % (2108751)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2779705383:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.32 % (2108752)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.32 % (2108752) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2108730-2108752"...
% 0.20/0.32 % (2108752)...printing done.
% 0.20/0.32 % (2108752)Refutation found. Thanks to Tanya!
% 0.20/0.32 % SZS status Theorem for theBenchmark
% 0.20/0.32 % SZS output start Proof for theBenchmark
% 0.20/0.32 thf(type_def_5, type, tyop_2Emin_2Ebool: $tType).
% 0.20/0.32 thf(type_def_6, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 0.20/0.32 thf(type_def_7, type, tyop_2Epair_2Eprod: ($tType * $tType) > $tType).
% 0.20/0.32 thf(type_def_8, type, tyop_2Erealax_2Ereal: $tType).
% 0.20/0.32 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 0.20/0.32 thf(func_def_0, type, c_2Ebool_2E_21: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.20/0.32 thf(func_def_1, type, c_2Epair_2E_2C: !>[X0: $tType, X1: $tType]:((X0 > X1 > tyop_2Epair_2Eprod @ X0 @ X1))).
% 0.20/0.32 thf(func_def_2, type, c_2Ebool_2E_2F_5C: ($o > $o > $o)).
% 0.20/0.32 thf(func_def_3, type, c_2Emin_2E_3D: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.20/0.32 thf(func_def_4, type, c_2Emin_2E_3D_3D_3E: ($o > $o > $o)).
% 0.20/0.32 thf(func_def_5, type, c_2Ebool_2E_3F: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.20/0.32 thf(func_def_6, type, c_2Ebool_2EF: $o).
% 0.20/0.32 thf(func_def_7, type, c_2Epred__set_2ESUBSET: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > $o))).
% 0.20/0.32 thf(func_def_8, type, c_2Ebool_2ET: $o).
% 0.20/0.32 thf(func_def_9, type, c_2Ebool_2E_5C_2F: ($o > $o > $o)).
% 0.20/0.32 thf(func_def_10, type, c_2Ereal__topology_2Eball: (tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal > tyop_2Erealax_2Ereal > $o)).
% 0.20/0.32 thf(func_def_11, type, c_2Ereal__topology_2Ebounded__def: ((tyop_2Erealax_2Ereal > $o) > $o)).
% 0.20/0.32 thf(func_def_12, type, c_2Ereal__topology_2Ecball: (tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal > tyop_2Erealax_2Ereal > $o)).
% 0.20/0.32 thf(func_def_13, type, c_2Ebool_2E_7E: ($o > $o)).
% 0.20/0.32 thf(func_def_15, type, vNOT: ($o > $o)).
% 0.20/0.32 thf(func_def_18, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.20/0.32 thf(func_def_19, type, db0: !>[X0: $tType]:(X0)).
% 0.20/0.32 thf(func_def_20, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.20/0.32 thf(func_def_21, type, vAND: ($o > $o > $o)).
% 0.20/0.32 thf(func_def_22, type, vOR: ($o > $o > $o)).
% 0.20/0.32 thf(func_def_23, type, sP0: ($o > $o > $o > $o)).
% 0.20/0.32 thf(func_def_24, type, sP1: ($o > $o > $o > $o)).
% 0.20/0.32 thf(func_def_25, type, sP2: ($o > $o > $o > $o)).
% 0.20/0.32 thf(func_def_26, type, sP3: ($o > $o > $o > $o)).
% 0.20/0.32 thf(func_def_27, type, sP4: ($o > $o > $o > $o)).
% 0.20/0.32 thf(func_def_28, type, sP5: ($o > $o > $o > $o)).
% 0.20/0.32 thf(func_def_29, type, sP6: ($o > $o > $o > $o)).
% 0.20/0.32 thf(func_def_30, type, sP7: ($o > $o > $o > $o)).
% 0.20/0.32 thf(func_def_31, type, sP8: ($o > $o > $o > $o)).
% 0.20/0.32 thf(func_def_32, type, sP9: ($o > $o > $o > $o)).
% 0.20/0.32 thf(func_def_33, type, sK10: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.20/0.32 thf(func_def_34, type, sK11: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.20/0.32 thf(func_def_35, type, sK12: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.20/0.32 thf(func_def_36, type, sK13: tyop_2Erealax_2Ereal).
% 0.20/0.32 thf(func_def_37, type, sK14: tyop_2Erealax_2Ereal).
% 0.20/0.32 thf(func_def_38, type, sK15: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.20/0.32 thf(f20,axiom,(
% 0.20/0.32 ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)) @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.20/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBALL__SUBSET__CBALL)).
% 0.20/0.32 thf(f21,axiom,(
% 0.20/0.32 ! [X0 : (tyop_2Erealax_2Ereal > $o),X1 : (tyop_2Erealax_2Ereal > $o)] : (((c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ X0 @ X1) & (c_2Ereal__topology_2Ebounded__def @ X1)) => (c_2Ereal__topology_2Ebounded__def @ X0))),
% 0.20/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBOUNDED__SUBSET)).
% 0.20/0.32 thf(f22,axiom,(
% 0.20/0.32 ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.20/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBOUNDED__CBALL)).
% 0.20/0.32 thf(f33,conjecture,(
% 0.20/0.32 ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.20/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ereal__topology_2EBOUNDED__BALL)).
% 0.20/0.32 thf(f34,negated_conjecture,(
% 0.20/0.32 ~ ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.20/0.32 inference(negated_conjecture,[status(cth)],[f33])).
% 0.20/0.32 thf(f71,plain,(
% 0.20/0.32 ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)) @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.20/0.32 inference(rectify,[],[f20])).
% 0.20/0.32 thf(f72,plain,(
% 0.20/0.32 ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (((c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)) @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))) = $true)),
% 0.20/0.32 inference(fool_elimination,[],[f71])).
% 0.20/0.32 thf(f73,plain,(
% 0.20/0.32 ! [X0 : (tyop_2Erealax_2Ereal > $o),X1 : (tyop_2Erealax_2Ereal > $o)] : (((c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ X0 @ X1) & (c_2Ereal__topology_2Ebounded__def @ X1)) => (c_2Ereal__topology_2Ebounded__def @ X0))),
% 0.20/0.32 inference(rectify,[],[f21])).
% 0.20/0.32 thf(f74,plain,(
% 0.20/0.32 ! [X0 : (tyop_2Erealax_2Ereal > $o),X1 : (tyop_2Erealax_2Ereal > $o)] : (((((c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ X0 @ X1)) = $true) & (((c_2Ereal__topology_2Ebounded__def @ X1)) = $true)) => (((c_2Ereal__topology_2Ebounded__def @ X0)) = $true))),
% 0.20/0.32 inference(fool_elimination,[],[f73])).
% 0.20/0.32 thf(f75,plain,(
% 0.20/0.32 ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.20/0.32 inference(rectify,[],[f22])).
% 0.20/0.32 thf(f76,plain,(
% 0.20/0.32 ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))) = $true)),
% 0.20/0.32 inference(fool_elimination,[],[f75])).
% 0.20/0.32 thf(f97,plain,(
% 0.20/0.32 ~ ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))),
% 0.20/0.32 inference(rectify,[],[f34])).
% 0.20/0.32 thf(f98,plain,(
% 0.20/0.32 ~ ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))) = $true)),
% 0.20/0.32 inference(fool_elimination,[],[f97])).
% 0.20/0.32 thf(f107,plain,(
% 0.20/0.32 ! [X0 : (tyop_2Erealax_2Ereal > $o),X1 : (tyop_2Erealax_2Ereal > $o)] : ((((c_2Ereal__topology_2Ebounded__def @ X0)) = $true) | ((((c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ X0 @ X1)) != $true) | (((c_2Ereal__topology_2Ebounded__def @ X1)) != $true)))),
% 0.20/0.32 inference(ennf_transformation,[],[f74])).
% 0.20/0.32 thf(f108,plain,(
% 0.20/0.32 ! [X0 : (tyop_2Erealax_2Ereal > $o),X1 : (tyop_2Erealax_2Ereal > $o)] : ((((c_2Ereal__topology_2Ebounded__def @ X0)) = $true) | (((c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ X0 @ X1)) != $true) | (((c_2Ereal__topology_2Ebounded__def @ X1)) != $true))),
% 0.20/0.32 inference(flattening,[],[f107])).
% 0.20/0.32 thf(f118,plain,(
% 0.20/0.32 ? [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))) != $true)),
% 0.20/0.32 inference(ennf_transformation,[],[f98])).
% 0.20/0.32 thf(f201,plain,(
% 0.20/0.32 ($true != ((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ sK13 @ sK14)))))),
% 0.20/0.32 inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f118])).
% 0.20/0.32 thf(f272,plain,(
% 0.20/0.32 ( ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : ((((c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)) @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))) = $true)) )),
% 0.20/0.32 inference(cnf_transformation,[],[f72])).
% 0.20/0.32 thf(f273,plain,(
% 0.20/0.32 ( ! [X0 : (tyop_2Erealax_2Ereal > $o),X1 : (tyop_2Erealax_2Ereal > $o)] : ((((c_2Epred__set_2ESUBSET @ tyop_2Erealax_2Ereal @ X0 @ X1)) != $true) | (((c_2Ereal__topology_2Ebounded__def @ X0)) = $true) | (((c_2Ereal__topology_2Ebounded__def @ X1)) != $true)) )),
% 0.20/0.32 inference(cnf_transformation,[],[f108])).
% 0.20/0.32 thf(f274,plain,(
% 0.20/0.32 ( ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : ((((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))) = $true)) )),
% 0.20/0.32 inference(cnf_transformation,[],[f76])).
% 0.20/0.32 thf(f373,plain,(
% 0.20/0.32 ($true != ((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ sK13 @ sK14)))))),
% 0.20/0.32 inference(cnf_transformation,[],[f201])).
% 0.20/0.32 thf(f710,plain,(
% 0.20/0.32 ( ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : (($true != $true) | (((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))) = $true) | (((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))) != $true)) )),
% 0.20/0.32 inference(constrained_superposition,[],[f273,f272])).
% 0.20/0.32 thf(f711,plain,(
% 0.20/0.32 ( ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : ((((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))) = $true) | (((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Ecball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))) != $true)) )),
% 0.20/0.32 inference(trivial_inequality_removal,[],[f710])).
% 0.20/0.32 thf(f712,plain,(
% 0.20/0.32 ( ! [X0 : tyop_2Erealax_2Ereal,X1 : tyop_2Erealax_2Ereal] : ((((c_2Ereal__topology_2Ebounded__def @ (c_2Ereal__topology_2Eball @ (c_2Epair_2E_2C @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal @ X0 @ X1)))) = $true)) )),
% 0.20/0.32 inference(forward_subsumption_resolution,[],[f711,f274])).
% 0.20/0.32 thf(f713,plain,(
% 0.20/0.32 ($true != $true)),
% 0.20/0.32 inference(constrained_superposition,[],[f373,f712])).
% 0.20/0.32 thf(f714,plain,(
% 0.20/0.32 $false),
% 0.20/0.32 inference(trivial_inequality_removal,[],[f713])).
% 0.20/0.32 % SZS output end Proof for theBenchmark
% 0.20/0.32 % (2108752)------------------------------
% 0.20/0.32 % (2108752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (2108752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (2108752)CaDiCaL version: 2.1.3
% 0.20/0.32 % (2108752)Termination reason: Refutation
% 0.20/0.32 % (2108752)Time elapsed: 0.005 s
% 0.20/0.32 % (2108752)Peak memory usage: 13 MB
% 0.20/0.32 % (2108752)Instructions burned: 18 (million)
% 0.20/0.32 % (2108730)Success in time 0.087 s
% 0.20/0.32 % Vampire exiting
%------------------------------------------------------------------------------