%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT297^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 07:49:09 AM UTC 2026
% Result : Theorem 0.13s 0.28s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT297^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.20 % Computer : n019.cluster.edu
% 0.13/0.20 % Model : x86_64 x86_64
% 0.13/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.20 % Memory : 8046.5625MB
% 0.13/0.20 % OS : Linux 6.8.0-71-generic
% 0.13/0.20 % CPULimit : 300
% 0.13/0.20 % WCLimit : 300
% 0.13/0.20 % DateTime : Tue Sep 29 18:24:03 UTC 2026
% 0.13/0.20 % CPUTime :
% 0.13/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.23 Running first-order model finding
% 0.13/0.23 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
% 0.13/0.28 % (1176437)Will run a generic schedule for satisfiability detection.
% 0.13/0.28 % (1176442)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2279974568_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.28 % Exception at run slice level
% 0.13/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.28 % (1176443)% WARNING: option uhcvi not known.
% 0.13/0.28 % (1176445)dis+10_1_sil=32000:sp=arity:random_seed=2541265109:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.28 % (1176443)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2146729640:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.28 % (1176443)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.13/0.28 % (1176443)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.13/0.28 % (1176447)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3116758279:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.28 % (1176447) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1176437-1176447"...
% 0.13/0.28 % (1176444)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3031681564:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.28 % (1176450)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2947773617:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.13/0.28 % (1176447)...printing done.
% 0.13/0.28 % Exception at run slice level
% 0.13/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.28 % (1176447)Refutation found. Thanks to Tanya!
% 0.13/0.28 % SZS status Theorem for theBenchmark
% 0.13/0.28 % SZS output start Proof for theBenchmark
% 0.13/0.28 thf(type_def_5, type, 'type/ind_types/list': $tType > $tType).
% 0.13/0.28 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.13/0.28 thf(type_def_7, type, sK0: $tType).
% 0.13/0.28 thf(type_def_8, type, sK1: $tType).
% 0.13/0.28 thf(func_def_0, type, 'const/lists/ITLIST': !>[X0: $tType, X1: $tType]:(((X0 > X1 > X1) > 'type/ind_types/list' @ X0 > X1 > X1))).
% 0.13/0.28 thf(func_def_1, type, 'const/lists/APPEND': !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 0.13/0.28 thf(func_def_2, type, 'const/ind_types/NIL': !>[X0: $tType]:('type/ind_types/list' @ X0)).
% 0.13/0.28 thf(func_def_3, type, 'const/ind_types/CONS': !>[X0: $tType]:((X0 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 0.13/0.28 thf(func_def_5, type, sK2: (sK0 > sK1 > sK1)).
% 0.13/0.28 thf(func_def_6, type, sK3: sK0).
% 0.13/0.28 thf(func_def_7, type, sK4: sK1).
% 0.13/0.28 thf(func_def_8, type, sK5: 'type/ind_types/list' @ sK0).
% 0.13/0.28 thf(f1,axiom,(
% 0.13/0.28 ! [X0 : $tType,X1 : $tType,X2 : (X0 > X1 > X1),X3 : X1] : ((('const/lists/ITLIST' @ X0 @ X1 @ X2 @ 'const/ind_types/NIL' @ X0 @ X3)) = X3)),
% 0.13/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/ITLIST_0')).
% 0.13/0.28 thf(f2,axiom,(
% 0.13/0.28 ! [X0 : $tType,X1 : $tType,X2 : X0,X3 : (X0 > X1 > X1),X4 : 'type/ind_types/list' @ X0,X5 : X1] : ((('const/lists/ITLIST' @ X0 @ X1 @ X3 @ ('const/ind_types/CONS' @ X0 @ X2 @ X4) @ X5)) = ((X3 @ X2 @ ('const/lists/ITLIST' @ X0 @ X1 @ X3 @ X4 @ X5))))),
% 0.13/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/ITLIST_1')).
% 0.13/0.28 thf(f3,axiom,(
% 0.13/0.28 ! [X0 : $tType,X1 : $tType,X2 : (X0 > X1 > X1),X3 : X1,X4 : 'type/ind_types/list' @ X0,X5 : 'type/ind_types/list' @ X0] : ((('const/lists/ITLIST' @ X0 @ X1 @ X2 @ ('const/lists/APPEND' @ X0 @ X4 @ X5) @ X3)) = (('const/lists/ITLIST' @ X0 @ X1 @ X2 @ X4 @ ('const/lists/ITLIST' @ X0 @ X1 @ X2 @ X5 @ X3))))),
% 0.13/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/ITLIST_APPEND_')).
% 0.13/0.28 thf(f4,conjecture,(
% 0.13/0.28 ! [X0 : $tType,X1 : $tType,X2 : (X0 > X1 > X1),X3 : X0,X4 : X1,X5 : 'type/ind_types/list' @ X0] : ((('const/lists/ITLIST' @ X0 @ X1 @ X2 @ ('const/lists/APPEND' @ X0 @ X5 @ ('const/ind_types/CONS' @ X0 @ X3 @ 'const/ind_types/NIL' @ X0)) @ X4)) = (('const/lists/ITLIST' @ X0 @ X1 @ X2 @ X5 @ (X2 @ X3 @ X4))))),
% 0.13/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/ITLIST_EXTRA_')).
% 0.13/0.28 thf(f5,negated_conjecture,(
% 0.13/0.28 ~ ! [X0 : $tType,X1 : $tType,X2 : (X0 > X1 > X1),X3 : X0,X4 : X1,X5 : 'type/ind_types/list' @ X0] : ((('const/lists/ITLIST' @ X0 @ X1 @ X2 @ ('const/lists/APPEND' @ X0 @ X5 @ ('const/ind_types/CONS' @ X0 @ X3 @ 'const/ind_types/NIL' @ X0)) @ X4)) = (('const/lists/ITLIST' @ X0 @ X1 @ X2 @ X5 @ (X2 @ X3 @ X4))))),
% 0.13/0.28 inference(negated_conjecture,[status(cth)],[f4])).
% 0.13/0.28 thf(f6,plain,(
% 0.13/0.28 ? [X0 : $tType,X1 : $tType,X2 : (X0 > X1 > X1),X3 : X0,X4 : X1,X5 : 'type/ind_types/list' @ X0] : ((('const/lists/ITLIST' @ X0 @ X1 @ X2 @ ('const/lists/APPEND' @ X0 @ X5 @ ('const/ind_types/CONS' @ X0 @ X3 @ 'const/ind_types/NIL' @ X0)) @ X4)) != (('const/lists/ITLIST' @ X0 @ X1 @ X2 @ X5 @ (X2 @ X3 @ X4))))),
% 0.13/0.28 inference(ennf_transformation,[],[f5])).
% 0.13/0.28 thf(f7,plain,(
% 0.13/0.28 ((('const/lists/ITLIST' @ sK0 @ sK1 @ sK2 @ ('const/lists/APPEND' @ sK0 @ sK5 @ ('const/ind_types/CONS' @ sK0 @ sK3 @ 'const/ind_types/NIL' @ sK0)) @ sK4)) != (('const/lists/ITLIST' @ sK0 @ sK1 @ sK2 @ sK5 @ (sK2 @ sK3 @ sK4))))),
% 0.13/0.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f6])).
% 0.13/0.28 thf(f8,plain,(
% 0.13/0.28 ( ! [X1 : $tType,X0 : $tType,X2 : (X0 > X1 > X1),X3 : X1] : (((('const/lists/ITLIST' @ X0 @ X1 @ X2 @ 'const/ind_types/NIL' @ X0 @ X3)) = X3)) )),
% 0.13/0.28 inference(cnf_transformation,[],[f1])).
% 0.13/0.28 thf(f9,plain,(
% 0.13/0.28 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : (X0 > X1 > X1),X4 : 'type/ind_types/list' @ X0,X5 : X1] : (((('const/lists/ITLIST' @ X0 @ X1 @ X3 @ ('const/ind_types/CONS' @ X0 @ X2 @ X4) @ X5)) = ((X3 @ X2 @ ('const/lists/ITLIST' @ X0 @ X1 @ X3 @ X4 @ X5))))) )),
% 0.13/0.28 inference(cnf_transformation,[],[f2])).
% 0.13/0.28 thf(f10,plain,(
% 0.13/0.28 ( ! [X1 : $tType,X0 : $tType,X2 : (X0 > X1 > X1),X3 : X1,X4 : 'type/ind_types/list' @ X0,X5 : 'type/ind_types/list' @ X0] : (((('const/lists/ITLIST' @ X0 @ X1 @ X2 @ ('const/lists/APPEND' @ X0 @ X4 @ X5) @ X3)) = (('const/lists/ITLIST' @ X0 @ X1 @ X2 @ X4 @ ('const/lists/ITLIST' @ X0 @ X1 @ X2 @ X5 @ X3))))) )),
% 0.13/0.28 inference(cnf_transformation,[],[f3])).
% 0.13/0.28 thf(f11,plain,(
% 0.13/0.28 ((('const/lists/ITLIST' @ sK0 @ sK1 @ sK2 @ ('const/lists/APPEND' @ sK0 @ sK5 @ ('const/ind_types/CONS' @ sK0 @ sK3 @ 'const/ind_types/NIL' @ sK0)) @ sK4)) != (('const/lists/ITLIST' @ sK0 @ sK1 @ sK2 @ sK5 @ (sK2 @ sK3 @ sK4))))),
% 0.13/0.28 inference(cnf_transformation,[],[f7])).
% 0.13/0.28 thf(f17,plain,(
% 0.13/0.28 ((('const/lists/ITLIST' @ sK0 @ sK1 @ sK2 @ sK5 @ (sK2 @ sK3 @ sK4))) != (('const/lists/ITLIST' @ sK0 @ sK1 @ sK2 @ sK5 @ ('const/lists/ITLIST' @ sK0 @ sK1 @ sK2 @ ('const/ind_types/CONS' @ sK0 @ sK3 @ 'const/ind_types/NIL' @ sK0) @ sK4))))),
% 0.13/0.28 inference(constrained_superposition,[],[f11,f10])).
% 0.13/0.28 thf(f18,plain,(
% 0.13/0.28 ((('const/lists/ITLIST' @ sK0 @ sK1 @ sK2 @ sK5 @ (sK2 @ sK3 @ sK4))) != (('const/lists/ITLIST' @ sK0 @ sK1 @ sK2 @ sK5 @ (sK2 @ sK3 @ ('const/lists/ITLIST' @ sK0 @ sK1 @ sK2 @ 'const/ind_types/NIL' @ sK0 @ sK4)))))),
% 0.13/0.28 inference(forward_demodulation,[],[f17,f9])).
% 0.13/0.28 thf(f19,plain,(
% 0.13/0.28 ((('const/lists/ITLIST' @ sK0 @ sK1 @ sK2 @ sK5 @ (sK2 @ sK3 @ sK4))) != (('const/lists/ITLIST' @ sK0 @ sK1 @ sK2 @ sK5 @ (sK2 @ sK3 @ sK4))))),
% 0.13/0.28 inference(forward_demodulation,[],[f18,f8])).
% 0.13/0.28 thf(f20,plain,(
% 0.13/0.28 $false),
% 0.13/0.28 inference(trivial_inequality_removal,[],[f19])).
% 0.13/0.28 % SZS output end Proof for theBenchmark
% 0.13/0.28 % (1176447)------------------------------
% 0.13/0.28 % (1176447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.28 % (1176447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.28 % (1176447)CaDiCaL version: 2.1.3
% 0.13/0.28 % (1176447)Termination reason: Refutation
% 0.13/0.28 % (1176447)Time elapsed: 0.004 s
% 0.13/0.28 % (1176447)Peak memory usage: 12 MB
% 0.13/0.28 % (1176447)Instructions burned: 5 (million)
% 0.13/0.28 % (1176437)Success in time 0.043 s
% 0.13/0.28 % Vampire exiting
%------------------------------------------------------------------------------