%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP013^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 08:10:19 AM UTC 2026
% Result : Theorem 0.08s 0.17s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP013^3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 19:27:03 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.17 % (565942)Will run a generic schedule for satisfiability detection.
% 0.08/0.17 % (565948)% WARNING: option uhcvi not known.
% 0.08/0.17 % (565952)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=559926566:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.17 % (565948)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1259596918:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.17 % (565950)dis+10_1_sil=32000:sp=arity:random_seed=3646069742:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.17 % (565949)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=996702211:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.17 % (565947)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3576144567_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.17 % (565951)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3855412574:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.17 % (565953)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3224396276:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.17 % (565948)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.17 % (565951)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.08/0.17 % Exception at run slice level
% 0.08/0.17 % (565948)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.08/0.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.17 % (565961)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2433165655:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.08/0.17 % Exception at run slice level
% 0.08/0.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.08/0.17 % (565952) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-565942-565952"...
% 0.08/0.17 % (565952)...printing done.
% 0.08/0.17 % (565952)Refutation found. Thanks to Tanya!
% 0.08/0.17 % SZS status Theorem for theBenchmark
% 0.08/0.17 % SZS output start Proof for theBenchmark
% 0.08/0.17 thf(type_def_5, type, tyop_2Efcp_2Ecart: ($tType * $tType) > $tType).
% 0.08/0.17 thf(type_def_6, type, tyop_2Emin_2Ebool: $tType).
% 0.08/0.17 thf(type_def_7, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 0.08/0.17 thf(type_def_8, type, tyop_2Enum_2Enum: $tType).
% 0.08/0.17 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 0.08/0.17 thf(type_def_10, type, sK2: $tType).
% 0.08/0.17 thf(func_def_0, type, c_2Ebool_2E_21: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.08/0.17 thf(func_def_1, type, c_2Earithmetic_2E_2B: (tyop_2Enum_2Enum > tyop_2Enum_2Enum > tyop_2Enum_2Enum)).
% 0.08/0.17 thf(func_def_2, type, c_2Earithmetic_2E_2D: (tyop_2Enum_2Enum > tyop_2Enum_2Enum > tyop_2Enum_2Enum)).
% 0.08/0.17 thf(func_def_3, type, c_2Ebool_2E_2F_5C: ($o > $o > $o)).
% 0.08/0.17 thf(func_def_4, type, c_2Earithmetic_2E_3C_3D: (tyop_2Enum_2Enum > tyop_2Enum_2Enum > $o)).
% 0.08/0.17 thf(func_def_5, type, c_2Emin_2E_3D: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.08/0.17 thf(func_def_6, type, c_2Emin_2E_3D_3D_3E: ($o > $o > $o)).
% 0.08/0.17 thf(func_def_7, type, c_2Ebool_2E_3F: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.08/0.17 thf(func_def_8, type, c_2Ebool_2ECOND: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.08/0.17 thf(func_def_9, type, c_2Ebool_2EF: $o).
% 0.08/0.17 thf(func_def_10, type, c_2Ebool_2ET: $o).
% 0.08/0.17 thf(func_def_11, type, c_2Ebool_2E_5C_2F: ($o > $o > $o)).
% 0.08/0.17 thf(func_def_12, type, c_2Ewords_2En2w: !>[X0: $tType]:((tyop_2Enum_2Enum > tyop_2Efcp_2Ecart @ $o @ X0))).
% 0.08/0.17 thf(func_def_13, type, c_2Ewords_2Eword__2comp: !>[X0: $tType]:((tyop_2Efcp_2Ecart @ $o @ X0 > tyop_2Efcp_2Ecart @ $o @ X0))).
% 0.08/0.17 thf(func_def_14, type, c_2Ewords_2Eword__add: !>[X0: $tType]:((tyop_2Efcp_2Ecart @ $o @ X0 > tyop_2Efcp_2Ecart @ $o @ X0 > tyop_2Efcp_2Ecart @ $o @ X0))).
% 0.08/0.17 thf(func_def_15, type, c_2Ewords_2Eword__sub: !>[X0: $tType]:((tyop_2Efcp_2Ecart @ $o @ X0 > tyop_2Efcp_2Ecart @ $o @ X0 > tyop_2Efcp_2Ecart @ $o @ X0))).
% 0.08/0.17 thf(func_def_16, type, c_2Ebool_2E_7E: ($o > $o)).
% 0.08/0.17 thf(func_def_18, type, vNOT: ($o > $o)).
% 0.08/0.17 thf(func_def_21, type, sK0: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.08/0.17 thf(func_def_22, type, sK1: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.08/0.17 thf(func_def_23, type, sK3: tyop_2Enum_2Enum).
% 0.08/0.17 thf(func_def_24, type, sK4: tyop_2Enum_2Enum).
% 0.08/0.17 thf(func_def_26, type, db0: !>[X0: $tType]:(X0)).
% 0.08/0.17 thf(func_def_27, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.08/0.17 thf(func_def_28, type, db1: !>[X0: $tType]:(X0)).
% 0.08/0.17 thf(func_def_29, type, sK6: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1 > tyop_2Enum_2Enum) > X1))).
% 0.08/0.17 thf(func_def_30, type, db2: !>[X0: $tType]:(X0)).
% 0.08/0.17 thf(func_def_31, type, sK7: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1 > tyop_2Enum_2Enum) > X1))).
% 0.08/0.17 thf(f8,axiom,(
% 0.08/0.17 c_2Ebool_2ET),
% 0.08/0.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH)).
% 0.08/0.17 thf(f16,axiom,(
% 0.08/0.17 ! [X0 : $tType] : (! [X3 : X0,X4 : X0] : (((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ X3 @ X4)) = X4) & ! [X1 : X0,X2 : X0] : (((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2ET @ X1 @ X2)) = X1))),
% 0.08/0.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2Ebool__case__thm)).
% 0.08/0.17 thf(f17,axiom,(
% 0.08/0.17 ! [X0 : $tType,X1 : tyop_2Efcp_2Ecart @ $o @ X0,X2 : tyop_2Efcp_2Ecart @ $o @ X0] : (((c_2Ewords_2Eword__sub @ X0 @ X1 @ X2)) = ((c_2Ewords_2Eword__add @ X0 @ X1 @ (c_2Ewords_2Eword__2comp @ X0 @ X2))))),
% 0.08/0.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2Eword__sub__def)).
% 0.08/0.17 thf(f18,axiom,(
% 0.08/0.17 ! [X0 : $tType,X1 : $tType] : (! [X4 : tyop_2Enum_2Enum,X5 : tyop_2Enum_2Enum] : (((c_2Ewords_2Eword__add @ X1 @ (c_2Ewords_2En2w @ X1 @ X4) @ (c_2Ewords_2Eword__2comp @ X1 @ (c_2Ewords_2En2w @ X1 @ X5)))) = ((c_2Ebool_2ECOND @ tyop_2Efcp_2Ecart @ $o @ X1 @ (c_2Earithmetic_2E_3C_3D @ X5 @ X4) @ (c_2Ewords_2En2w @ X1 @ (c_2Earithmetic_2E_2D @ X4 @ X5)) @ (c_2Ewords_2Eword__2comp @ X1 @ (c_2Ewords_2En2w @ X1 @ (c_2Earithmetic_2E_2D @ X5 @ X4)))))) & ! [X2 : tyop_2Enum_2Enum,X3 : tyop_2Enum_2Enum] : (((c_2Ewords_2Eword__add @ X0 @ (c_2Ewords_2Eword__2comp @ X0 @ (c_2Ewords_2En2w @ X0 @ X2)) @ (c_2Ewords_2Eword__2comp @ X0 @ (c_2Ewords_2En2w @ X0 @ X3)))) = ((c_2Ewords_2Eword__2comp @ X0 @ (c_2Ewords_2En2w @ X0 @ (c_2Earithmetic_2E_2B @ X2 @ X3))))))),
% 0.08/0.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__LITERAL__ADD)).
% 0.08/0.17 thf(f19,conjecture,(
% 0.08/0.17 ! [X0 : $tType,X1 : tyop_2Enum_2Enum,X2 : tyop_2Enum_2Enum] : ((c_2Earithmetic_2E_3C_3D @ X2 @ X1) => (((c_2Ewords_2En2w @ X0 @ (c_2Earithmetic_2E_2D @ X1 @ X2))) = ((c_2Ewords_2Eword__sub @ X0 @ (c_2Ewords_2En2w @ X0 @ X1) @ (c_2Ewords_2En2w @ X0 @ X2)))))),
% 0.08/0.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2En2w__sub)).
% 0.08/0.17 thf(f20,negated_conjecture,(
% 0.08/0.17 ~ ! [X0 : $tType,X1 : tyop_2Enum_2Enum,X2 : tyop_2Enum_2Enum] : ((c_2Earithmetic_2E_3C_3D @ X2 @ X1) => (((c_2Ewords_2En2w @ X0 @ (c_2Earithmetic_2E_2D @ X1 @ X2))) = ((c_2Ewords_2Eword__sub @ X0 @ (c_2Ewords_2En2w @ X0 @ X1) @ (c_2Ewords_2En2w @ X0 @ X2)))))),
% 0.08/0.17 inference(negated_conjecture,[status(cth)],[f19])).
% 0.08/0.17 thf(f35,plain,(
% 0.08/0.17 c_2Ebool_2ET),
% 0.08/0.17 inference(rectify,[],[f8])).
% 0.08/0.17 thf(f36,plain,(
% 0.08/0.17 (c_2Ebool_2ET = $true)),
% 0.08/0.17 inference(fool_elimination,[],[f35])).
% 0.08/0.17 thf(f49,plain,(
% 0.08/0.17 ~ ! [X0 : $tType,X1 : tyop_2Enum_2Enum,X2 : tyop_2Enum_2Enum] : ((c_2Earithmetic_2E_3C_3D @ X2 @ X1) => (((c_2Ewords_2En2w @ X0 @ (c_2Earithmetic_2E_2D @ X1 @ X2))) = ((c_2Ewords_2Eword__sub @ X0 @ (c_2Ewords_2En2w @ X0 @ X1) @ (c_2Ewords_2En2w @ X0 @ X2)))))),
% 0.08/0.17 inference(rectify,[],[f20])).
% 0.08/0.17 thf(f50,plain,(
% 0.08/0.17 ~ ! [X0 : $tType,X1 : tyop_2Enum_2Enum,X2 : tyop_2Enum_2Enum] : ((((c_2Earithmetic_2E_3C_3D @ X2 @ X1)) = $true) => (((c_2Ewords_2En2w @ X0 @ (c_2Earithmetic_2E_2D @ X1 @ X2))) = ((c_2Ewords_2Eword__sub @ X0 @ (c_2Ewords_2En2w @ X0 @ X1) @ (c_2Ewords_2En2w @ X0 @ X2)))))),
% 0.08/0.17 inference(fool_elimination,[],[f49])).
% 0.08/0.17 thf(f51,plain,(
% 0.08/0.17 ! [X0 : $tType] : (! [X1 : X0,X2 : X0] : (((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2EF @ X1 @ X2)) = X2) & ! [X3 : X0,X4 : X0] : (((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2ET @ X3 @ X4)) = X3))),
% 0.08/0.17 inference(rectify,[],[f16])).
% 0.08/0.17 thf(f52,plain,(
% 0.08/0.17 ! [X0 : $tType,X1 : $tType] : (! [X2 : tyop_2Enum_2Enum,X3 : tyop_2Enum_2Enum] : (((c_2Ewords_2Eword__add @ X1 @ (c_2Ewords_2En2w @ X1 @ X2) @ (c_2Ewords_2Eword__2comp @ X1 @ (c_2Ewords_2En2w @ X1 @ X3)))) = ((c_2Ebool_2ECOND @ tyop_2Efcp_2Ecart @ $o @ X1 @ (c_2Earithmetic_2E_3C_3D @ X3 @ X2) @ (c_2Ewords_2En2w @ X1 @ (c_2Earithmetic_2E_2D @ X2 @ X3)) @ (c_2Ewords_2Eword__2comp @ X1 @ (c_2Ewords_2En2w @ X1 @ (c_2Earithmetic_2E_2D @ X3 @ X2)))))) & ! [X4 : tyop_2Enum_2Enum,X5 : tyop_2Enum_2Enum] : (((c_2Ewords_2Eword__add @ X0 @ (c_2Ewords_2Eword__2comp @ X0 @ (c_2Ewords_2En2w @ X0 @ X4)) @ (c_2Ewords_2Eword__2comp @ X0 @ (c_2Ewords_2En2w @ X0 @ X5)))) = ((c_2Ewords_2Eword__2comp @ X0 @ (c_2Ewords_2En2w @ X0 @ (c_2Earithmetic_2E_2B @ X4 @ X5))))))),
% 0.08/0.17 inference(rectify,[],[f18])).
% 0.08/0.17 thf(f61,plain,(
% 0.08/0.17 ? [X0 : $tType,X1 : tyop_2Enum_2Enum,X2 : tyop_2Enum_2Enum] : ((((c_2Ewords_2En2w @ X0 @ (c_2Earithmetic_2E_2D @ X1 @ X2))) != ((c_2Ewords_2Eword__sub @ X0 @ (c_2Ewords_2En2w @ X0 @ X1) @ (c_2Ewords_2En2w @ X0 @ X2)))) & (((c_2Earithmetic_2E_3C_3D @ X2 @ X1)) = $true))),
% 0.08/0.17 inference(ennf_transformation,[],[f50])).
% 0.08/0.17 thf(f85,plain,(
% 0.08/0.17 (((c_2Ewords_2En2w @ sK2 @ (c_2Earithmetic_2E_2D @ sK3 @ sK4))) != ((c_2Ewords_2Eword__sub @ sK2 @ (c_2Ewords_2En2w @ sK2 @ sK3) @ (c_2Ewords_2En2w @ sK2 @ sK4)))) & ($true = ((c_2Earithmetic_2E_3C_3D @ sK4 @ sK3)))),
% 0.08/0.17 inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f61])).
% 0.08/0.17 thf(f102,plain,(
% 0.08/0.17 (c_2Ebool_2ET = $true)),
% 0.08/0.17 inference(cnf_transformation,[],[f36])).
% 0.08/0.17 thf(f148,plain,(
% 0.08/0.17 ( ! [X0 : $tType,X3 : X0,X4 : X0] : ((((c_2Ebool_2ECOND @ X0 @ c_2Ebool_2ET @ X3 @ X4)) = X3)) )),
% 0.08/0.17 inference(cnf_transformation,[],[f51])).
% 0.08/0.17 thf(f150,plain,(
% 0.08/0.17 ( ! [X0 : $tType,X2 : tyop_2Efcp_2Ecart @ $o @ X0,X1 : tyop_2Efcp_2Ecart @ $o @ X0] : ((((c_2Ewords_2Eword__sub @ X0 @ X1 @ X2)) = ((c_2Ewords_2Eword__add @ X0 @ X1 @ (c_2Ewords_2Eword__2comp @ X0 @ X2))))) )),
% 0.08/0.17 inference(cnf_transformation,[],[f17])).
% 0.08/0.17 thf(f152,plain,(
% 0.08/0.17 ( ! [X1 : $tType,X2 : tyop_2Enum_2Enum,X3 : tyop_2Enum_2Enum] : ((((c_2Ewords_2Eword__add @ X1 @ (c_2Ewords_2En2w @ X1 @ X2) @ (c_2Ewords_2Eword__2comp @ X1 @ (c_2Ewords_2En2w @ X1 @ X3)))) = ((c_2Ebool_2ECOND @ tyop_2Efcp_2Ecart @ $o @ X1 @ (c_2Earithmetic_2E_3C_3D @ X3 @ X2) @ (c_2Ewords_2En2w @ X1 @ (c_2Earithmetic_2E_2D @ X2 @ X3)) @ (c_2Ewords_2Eword__2comp @ X1 @ (c_2Ewords_2En2w @ X1 @ (c_2Earithmetic_2E_2D @ X3 @ X2))))))) )),
% 0.08/0.17 inference(cnf_transformation,[],[f52])).
% 0.08/0.17 thf(f153,plain,(
% 0.08/0.17 ($true = ((c_2Earithmetic_2E_3C_3D @ sK4 @ sK3)))),
% 0.08/0.17 inference(cnf_transformation,[],[f85])).
% 0.08/0.17 thf(f154,plain,(
% 0.08/0.17 (((c_2Ewords_2En2w @ sK2 @ (c_2Earithmetic_2E_2D @ sK3 @ sK4))) != ((c_2Ewords_2Eword__sub @ sK2 @ (c_2Ewords_2En2w @ sK2 @ sK3) @ (c_2Ewords_2En2w @ sK2 @ sK4))))),
% 0.08/0.17 inference(cnf_transformation,[],[f85])).
% 0.08/0.17 thf(f174,plain,(
% 0.08/0.17 ( ! [X0 : $tType,X3 : X0,X4 : X0] : ((((c_2Ebool_2ECOND @ X0 @ $true @ X3 @ X4)) = X3)) )),
% 0.08/0.17 inference(definition_unfolding,[],[f148,f102])).
% 0.08/0.17 thf(f940,plain,(
% 0.08/0.17 (((c_2Ewords_2En2w @ sK2 @ (c_2Earithmetic_2E_2D @ sK3 @ sK4))) != ((c_2Ewords_2Eword__add @ sK2 @ (c_2Ewords_2En2w @ sK2 @ sK3) @ (c_2Ewords_2Eword__2comp @ sK2 @ (c_2Ewords_2En2w @ sK2 @ sK4)))))),
% 0.08/0.17 inference(constrained_superposition,[],[f154,f150])).
% 0.08/0.17 thf(f957,plain,(
% 0.08/0.17 ( ! [X0 : $tType] : ((((c_2Ewords_2Eword__add @ X0 @ (c_2Ewords_2En2w @ X0 @ sK3) @ (c_2Ewords_2Eword__2comp @ X0 @ (c_2Ewords_2En2w @ X0 @ sK4)))) = ((c_2Ebool_2ECOND @ tyop_2Efcp_2Ecart @ $o @ X0 @ $true @ (c_2Ewords_2En2w @ X0 @ (c_2Earithmetic_2E_2D @ sK3 @ sK4)) @ (c_2Ewords_2Eword__2comp @ X0 @ (c_2Ewords_2En2w @ X0 @ (c_2Earithmetic_2E_2D @ sK4 @ sK3))))))) )),
% 0.08/0.17 inference(constrained_superposition,[],[f152,f153])).
% 0.08/0.17 thf(f958,plain,(
% 0.08/0.17 ( ! [X0 : $tType] : ((((c_2Ewords_2Eword__add @ X0 @ (c_2Ewords_2En2w @ X0 @ sK3) @ (c_2Ewords_2Eword__2comp @ X0 @ (c_2Ewords_2En2w @ X0 @ sK4)))) = ((c_2Ewords_2En2w @ X0 @ (c_2Earithmetic_2E_2D @ sK3 @ sK4))))) )),
% 0.08/0.17 inference(forward_demodulation,[],[f957,f174])).
% 0.08/0.17 thf(f961,plain,(
% 0.08/0.17 (((c_2Ewords_2En2w @ sK2 @ (c_2Earithmetic_2E_2D @ sK3 @ sK4))) != ((c_2Ewords_2En2w @ sK2 @ (c_2Earithmetic_2E_2D @ sK3 @ sK4))))),
% 0.08/0.17 inference(constrained_superposition,[],[f940,f958])).
% 0.08/0.17 thf(f969,plain,(
% 0.08/0.17 $false),
% 0.08/0.17 inference(trivial_inequality_removal,[],[f961])).
% 0.08/0.17 % SZS output end Proof for theBenchmark
% 0.08/0.17 % (565952)------------------------------
% 0.08/0.17 % (565952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.17 % (565952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.17 % (565952)CaDiCaL version: 2.1.3
% 0.08/0.17 % (565952)Termination reason: Refutation
% 0.08/0.17 % (565952)Time elapsed: 0.019 s
% 0.08/0.17 % (565952)Peak memory usage: 13 MB
% 0.08/0.17 % (565952)Instructions burned: 62 (million)
% 0.08/0.17 % (565942)Success in time 0.047 s
% 0.08/0.17 % Vampire exiting
%------------------------------------------------------------------------------