%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP018^3 : 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 : n026.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 08:10:21 AM UTC 2026
% Result : Theorem 0.19s 0.29s
% Output : Refutation 0.19s
% 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.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 % Computer : n026.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 19:34:56 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 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
% 0.19/0.29 % (1065975)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (1065982)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1897654782:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (1065981)% WARNING: option uhcvi not known.
% 0.19/0.29 % (1065980)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1821823222_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (1065981)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1617844748:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (1065983)dis+10_1_sil=32000:sp=arity:random_seed=1273547279:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (1065984)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3277093169:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (1065985)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3472987718:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (1065981)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.29 % (1065986)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2451472937:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % (1065984)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.29 % Exception at run slice level
% 0.19/0.29 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.29 % (1065981)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.29 % (1065981) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1065975-1065981"...
% 0.19/0.29 % (1065981)...printing done.
% 0.19/0.29 % (1065983) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1065975-1065983"...
% 0.19/0.29 % (1065981)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Theorem for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% 0.19/0.29 thf(type_def_5, type, tyop_2Ebinary__ieee_2Efloat: ($tType * $tType) > $tType).
% 0.19/0.29 thf(type_def_6, type, tyop_2Ebool_2Eitself: $tType > $tType).
% 0.19/0.29 thf(type_def_7, type, tyop_2Emin_2Ebool: $tType).
% 0.19/0.29 thf(type_def_8, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 0.19/0.29 thf(type_def_9, type, tyop_2Epair_2Eprod: ($tType * $tType) > $tType).
% 0.19/0.29 thf(type_def_10, type, tyop_2Erealax_2Ereal: $tType).
% 0.19/0.29 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 0.19/0.29 thf(type_def_12, type, sK2: $tType).
% 0.19/0.29 thf(type_def_13, type, sK3: $tType).
% 0.19/0.29 thf(func_def_0, type, c_2Ebool_2E_21: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.19/0.29 thf(func_def_1, type, c_2Ebool_2E_2F_5C: ($o > $o > $o)).
% 0.19/0.29 thf(func_def_2, type, c_2Emin_2E_3D: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.19/0.29 thf(func_def_3, type, c_2Emin_2E_3D_3D_3E: ($o > $o > $o)).
% 0.19/0.29 thf(func_def_4, type, c_2Ebool_2E_3F: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.19/0.29 thf(func_def_5, type, c_2Ebool_2ET: $o).
% 0.19/0.29 thf(func_def_6, type, c_2Ebool_2E_5C_2F: ($o > $o > $o)).
% 0.19/0.29 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))).
% 0.19/0.29 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))).
% 0.19/0.29 thf(func_def_9, type, c_2Ebinary__ieee_2Efloat__to__real: !>[X0: $tType, X1: $tType]:((tyop_2Ebinary__ieee_2Efloat @ X0 @ X1 > tyop_2Erealax_2Ereal))).
% 0.19/0.29 thf(func_def_10, type, c_2Erealax_2Ereal__neg: (tyop_2Erealax_2Ereal > tyop_2Erealax_2Ereal)).
% 0.19/0.29 thf(func_def_11, type, c_2Ebool_2Ethe__value: !>[X0: $tType]:(tyop_2Ebool_2Eitself @ X0)).
% 0.19/0.29 thf(func_def_12, type, c_2Ebinary__ieee_2Eulp: !>[X0: $tType, X1: $tType]:((tyop_2Ebool_2Eitself @ tyop_2Epair_2Eprod @ X0 @ X1 > tyop_2Erealax_2Ereal))).
% 0.19/0.29 thf(func_def_13, type, c_2Ebool_2E_7E: ($o > $o)).
% 0.19/0.29 thf(func_def_15, type, vNOT: ($o > $o)).
% 0.19/0.29 thf(func_def_18, type, sK0: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.19/0.29 thf(func_def_19, type, sK1: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.19/0.29 thf(func_def_20, type, db0: !>[X0: $tType]:(X0)).
% 0.19/0.29 thf(func_def_21, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.19/0.29 thf(f8,axiom,(
% 0.19/0.29 ! [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))))),
% 0.19/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Efloat__to__real__negate)).
% 0.19/0.29 thf(f9,axiom,(
% 0.19/0.29 ! [X0 : $tType,X1 : $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))))),
% 0.19/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eulp)).
% 0.19/0.29 thf(f12,conjecture,(
% 0.19/0.29 ! [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)))))),
% 0.19/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eneg__ulp)).
% 0.19/0.29 thf(f13,negated_conjecture,(
% 0.19/0.29 ~ ! [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)))))),
% 0.19/0.29 inference(negated_conjecture,[status(cth)],[f12])).
% 0.19/0.29 thf(f33,plain,(
% 0.19/0.29 ? [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)))))),
% 0.19/0.29 inference(ennf_transformation,[],[f13])).
% 0.19/0.29 thf(f48,plain,(
% 0.19/0.29 (((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ sK2 @ sK3 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK2 @ sK3))) != ((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)))))),
% 0.19/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f33])).
% 0.19/0.29 thf(f65,plain,(
% 0.19/0.29 ( ! [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))))) )),
% 0.19/0.29 inference(cnf_transformation,[],[f8])).
% 0.19/0.29 thf(f66,plain,(
% 0.19/0.29 ( ! [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))))) )),
% 0.19/0.29 inference(cnf_transformation,[],[f9])).
% 0.19/0.29 thf(f70,plain,(
% 0.19/0.29 (((c_2Erealax_2Ereal__neg @ (c_2Ebinary__ieee_2Eulp @ sK2 @ sK3 @ c_2Ebool_2Ethe__value @ tyop_2Epair_2Eprod @ sK2 @ sK3))) != ((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)))))),
% 0.19/0.29 inference(cnf_transformation,[],[f48])).
% 0.19/0.29 thf(f327,plain,(
% 0.19/0.29 (((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)))))),
% 0.19/0.29 inference(constrained_superposition,[],[f70,f65])).
% 0.19/0.29 thf(f402,plain,(
% 0.19/0.29 (((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))))),
% 0.19/0.29 inference(forward_demodulation,[],[f327,f66])).
% 0.19/0.29 thf(f403,plain,(
% 0.19/0.29 $false),
% 0.19/0.29 inference(trivial_inequality_removal,[],[f402])).
% 0.19/0.29 % SZS output end Proof for theBenchmark
% 0.19/0.29 % (1065981)------------------------------
% 0.19/0.29 % (1065981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (1065981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (1065981)CaDiCaL version: 2.1.3
% 0.19/0.29 % (1065981)Termination reason: Refutation
% 0.19/0.29 % (1065981)Time elapsed: 0.012 s
% 0.19/0.29 % (1065981)Peak memory usage: 12 MB
% 0.19/0.29 % (1065981)Instructions burned: 17 (million)
% 0.19/0.29 % (1065975)Success in time 0.049 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------