%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP018^3 : 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 : n019.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 08:07:49 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP018^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n019.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 19:33:09 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.28 % (1244063)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.28 % (1244069)lrs+10_16_si=on:nwc=1.5:random_seed=1460158354:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.28 % (1244068)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3572335335:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.28 % (1244070)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3697756951:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.28 % (1244071)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3508919734:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.22/0.28 % (1244072)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=552185058:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.28 % (1244073)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=238105387:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.28 % (1244074)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.28 % (1244074)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.28 % (1244069) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1244063-1244069"...
% 0.22/0.28 % (1244068) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1244063-1244068"...
% 0.22/0.28 % (1244070)Instruction limit reached!
% 0.22/0.28 % (1244070)------------------------------
% 0.22/0.28 % (1244070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (1244070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (1244070)CaDiCaL version: 2.1.3
% 0.22/0.28 % (1244070)Termination reason: Instruction limit
% 0.22/0.28 % (1244070)Termination phase: Saturation
% 0.22/0.28 % (1244070)Time elapsed: 0.003 s
% 0.22/0.28 % (1244070)Peak memory usage: 12 MB
% 0.22/0.28 % (1244070)Instructions burned: 4 (million)
% 0.22/0.28 % (1244073) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1244063-1244073"...
% 0.22/0.28 % (1244069)...printing done.
% 0.22/0.28 % (1244068)...printing done.
% 0.22/0.28 % (1244074)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=449877363:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.28 % (1244069)Refutation found. Thanks to Tanya!
% 0.22/0.28 % SZS status Theorem for theBenchmark
% 0.22/0.28 % SZS output start Proof for theBenchmark
% 0.22/0.28 thf(type_def_5, type, tyop_2Ebinary__ieee_2Efloat: ($tType * $tType) > $tType).
% 0.22/0.28 thf(type_def_6, type, tyop_2Ebool_2Eitself: $tType > $tType).
% 0.22/0.28 thf(type_def_7, type, tyop_2Emin_2Ebool: $tType).
% 0.22/0.28 thf(type_def_8, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 0.22/0.28 thf(type_def_9, type, tyop_2Epair_2Eprod: ($tType * $tType) > $tType).
% 0.22/0.28 thf(type_def_10, type, tyop_2Erealax_2Ereal: $tType).
% 0.22/0.28 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 0.22/0.28 thf(type_def_12, type, sK2: $tType).
% 0.22/0.28 thf(type_def_13, type, sK3: $tType).
% 0.22/0.28 thf(func_def_0, type, c_2Ebool_2E_21: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.22/0.28 thf(func_def_1, type, c_2Ebool_2E_2F_5C: ($o > $o > $o)).
% 0.22/0.28 thf(func_def_2, type, c_2Emin_2E_3D: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.22/0.28 thf(func_def_3, type, c_2Emin_2E_3D_3D_3E: ($o > $o > $o)).
% 0.22/0.28 thf(func_def_4, type, c_2Ebool_2E_3F: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.22/0.28 thf(func_def_5, type, c_2Ebool_2ET: $o).
% 0.22/0.28 thf(func_def_6, type, c_2Ebool_2E_5C_2F: ($o > $o > $o)).
% 0.22/0.28 thf(func_def_7, type, c_2Ebinary__ieee_2Efloat__negate: !>[X0: $tType, X1: $tType]:((tyop_2Ebinary__ieee_2Efloat @ X0 @ X1 > tyop_2Ebinary__ieee_2Efloat @ X0 @ X1))).
% 0.22/0.28 thf(func_def_8, type, c_2Ebinary__ieee_2Efloat__plus__min: !>[X0: $tType, X1: $tType]:((tyop_2Ebool_2Eitself @ tyop_2Epair_2Eprod @ X0 @ X1 > tyop_2Ebinary__ieee_2Efloat @ X0 @ X1))).
% 0.22/0.28 thf(func_def_9, type, c_2Ebinary__ieee_2Efloat__to__real: !>[X0: $tType, X1: $tType]:((tyop_2Ebinary__ieee_2Efloat @ X0 @ X1 > tyop_2Erealax_2Ereal))).
% 0.22/0.28 thf(func_def_10, type, c_2Erealax_2Ereal__neg: (tyop_2Erealax_2Ereal > tyop_2Erealax_2Ereal)).
% 0.22/0.28 thf(func_def_11, type, c_2Ebool_2Ethe__value: !>[X0: $tType]:(tyop_2Ebool_2Eitself @ X0)).
% 0.22/0.28 thf(func_def_12, type, c_2Ebinary__ieee_2Eulp: !>[X0: $tType, X1: $tType]:((tyop_2Ebool_2Eitself @ tyop_2Epair_2Eprod @ X0 @ X1 > tyop_2Erealax_2Ereal))).
% 0.22/0.28 thf(func_def_13, type, c_2Ebool_2E_7E: ($o > $o)).
% 0.22/0.28 thf(func_def_15, type, vNOT: ($o > $o)).
% 0.22/0.28 thf(func_def_18, type, sK0: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.22/0.28 thf(func_def_19, type, sK1: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.22/0.28 thf(f8,axiom,(
% 0.22/0.28 ! [X1 : $tType,X0 : $tType,X2 : tyop_2Ebinary__ieee_2Efloat @ X0 @ X1] : (((c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 @ X2))) = ((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ X2))))),
% 0.22/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Efloat__to__real__negate)).
% 0.22/0.28 thf(f9,axiom,(
% 0.22/0.28 ! [X1 : $tType,X0 : $tType] : (((c_2Ebinary__ieee_2Eulp @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1)) = ((c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1))))),
% 0.22/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eulp)).
% 0.22/0.28 thf(f12,conjecture,(
% 0.22/0.28 ! [X0 : $tType,X1 : $tType] : (((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1))) = ((c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1)))))),
% 0.22/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eneg__ulp)).
% 0.22/0.28 thf(f13,negated_conjecture,(
% 0.22/0.28 ~ ! [X0 : $tType,X1 : $tType] : (((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1))) = ((c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1)))))),
% 0.22/0.28 inference(negated_conjecture,[status(cth)],[f12])).
% 0.22/0.28 thf(f32,plain,(
% 0.22/0.28 ! [X1 : $tType,X0 : $tType,X2 : tyop_2Ebinary__ieee_2Efloat @ X1 @ X0] : (((c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 @ (c_2Ebinary__ieee_2Efloat__negate @ X1 @ X0 @ X2))) = ((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 @ X2))))),
% 0.22/0.28 inference(rectify,[],[f8])).
% 0.22/0.28 thf(f33,plain,(
% 0.22/0.28 ! [X0 : $tType,X1 : $tType] : (((c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 @ (c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X1 @ X0))) = ((c_2Ebinary__ieee_2Eulp @ X1 @ X0 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X1 @ X0)))),
% 0.22/0.28 inference(rectify,[],[f9])).
% 0.22/0.28 thf(f34,plain,(
% 0.22/0.28 ? [X0 : $tType,X1 : $tType] : (((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1))) != ((c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X0 @ X1)))))),
% 0.22/0.28 inference(ennf_transformation,[],[f13])).
% 0.22/0.28 thf(f47,plain,(
% 0.22/0.28 ! [X0 : $tType,X1 : $tType,X2 : tyop_2Ebinary__ieee_2Efloat @ X0 @ X1] : (((c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 @ X2))) = ((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ X2))))),
% 0.22/0.28 inference(rectify,[],[f32])).
% 0.22/0.28 thf(f49,plain,(
% 0.22/0.28 (((c_2Ebinary__ieee_2Efloat__to__real @ sK2 @ sK3 @ (c_2Ebinary__ieee_2Efloat__negate @ sK2 @ sK3 @ (c_2Ebinary__ieee_2Efloat__plus__min @ sK2 @ sK3 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK2 @ sK3)))) != ((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ sK2 @ sK3 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK2 @ sK3))))),
% 0.22/0.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f34])).
% 0.22/0.28 thf(f59,plain,(
% 0.22/0.28 ( ! [X1 : $tType,X0 : $tType] : ((((c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 @ (c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X1 @ X0))) = ((c_2Ebinary__ieee_2Eulp @ X1 @ X0 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ X1 @ X0)))) )),
% 0.22/0.28 inference(cnf_transformation,[],[f33])).
% 0.22/0.28 thf(f65,plain,(
% 0.22/0.28 ( ! [X1 : $tType,X0 : $tType,X2 : tyop_2Ebinary__ieee_2Efloat @ X0 @ X1] : ((((c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ (c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 @ X2))) = ((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 @ X2))))) )),
% 0.22/0.28 inference(cnf_transformation,[],[f47])).
% 0.22/0.28 thf(f69,plain,(
% 0.22/0.28 (((c_2Ebinary__ieee_2Efloat__to__real @ sK2 @ sK3 @ (c_2Ebinary__ieee_2Efloat__negate @ sK2 @ sK3 @ (c_2Ebinary__ieee_2Efloat__plus__min @ sK2 @ sK3 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK2 @ sK3)))) != ((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ sK2 @ sK3 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK2 @ sK3))))),
% 0.22/0.28 inference(cnf_transformation,[],[f49])).
% 0.22/0.28 thf(f89,plain,(
% 0.22/0.28 (((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ sK2 @ sK3 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK2 @ sK3))) != ((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Efloat__to__real @ sK2 @ sK3 @ (c_2Ebinary__ieee_2Efloat__plus__min @ sK2 @ sK3 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK2 @ sK3)))))),
% 0.22/0.28 inference(forward_demodulation,[],[f69,f65])).
% 0.22/0.28 thf(f90,plain,(
% 0.22/0.28 (((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ sK2 @ sK3 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK2 @ sK3))) != ((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ sK2 @ sK3 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK2 @ sK3))))),
% 0.22/0.28 inference(forward_demodulation,[],[f89,f59])).
% 0.22/0.28 thf(f91,plain,(
% 0.22/0.28 $false),
% 0.22/0.28 inference(trivial_inequality_removal,[],[f90])).
% 0.22/0.28 % SZS output end Proof for theBenchmark
% 0.22/0.28 % (1244069)------------------------------
% 0.22/0.28 % (1244069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28 % (1244069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28 % (1244069)CaDiCaL version: 2.1.3
% 0.22/0.28 % (1244069)Termination reason: Refutation
% 0.22/0.28 % (1244069)Time elapsed: 0.003 s
% 0.22/0.28 % (1244069)Peak memory usage: 12 MB
% 0.22/0.28 % (1244069)Instructions burned: 3 (million)
% 0.22/0.28 % (1244063)Success in time 0.036 s
% 0.22/0.28 % Vampire exiting
%------------------------------------------------------------------------------