%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM802^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 08:19:34 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM802^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n013.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 13:00:06 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.19/0.27 % (2066085)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (2066090)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4158621328_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % Exception at run slice level
% 0.19/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.27 % (2066091)% WARNING: option uhcvi not known.
% 0.19/0.27 % (2066094)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=302935999:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (2066091)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2140388735:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (2066092)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2738979683:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (2066093)dis+10_1_sil=32000:sp=arity:random_seed=3381291390:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (2066094)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.27 % (2066091)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.27 % (2066091)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.27 % (2066096)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4087839454:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (2066091) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2066085-2066091"...
% 0.19/0.27 % (2066093) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2066085-2066093"...
% 0.19/0.27 % (2066094) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2066085-2066094"...
% 0.19/0.27 % (2066096) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2066085-2066096"...
% 0.19/0.27 % (2066098)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1788731176:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.27 % (2066092) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2066085-2066092"...
% 0.19/0.27 % Exception at run slice level
% 0.19/0.27 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.27 % (2066091)...printing done.
% 0.19/0.27 % (2066093)...printing done.
% 0.19/0.27 % (2066094)...printing done.
% 0.19/0.27 % (2066096)...printing done.
% 0.19/0.27 % (2066092)...printing done.
% 0.19/0.27 % (2066091)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% 0.19/0.27 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.19/0.27 thf(func_def_1, type, absval: ($i > $i)).
% 0.19/0.27 thf(func_def_3, type, c_less_: ($i > $i > $o)).
% 0.19/0.27 thf(func_def_7, type, sK0: (($i > $o) > $i)).
% 0.19/0.27 thf(func_def_8, type, vNOT: ($o > $o)).
% 0.19/0.27 thf(func_def_9, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.19/0.27 thf(func_def_10, type, db0: !>[X0: $tType]:(X0)).
% 0.19/0.27 thf(func_def_11, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.19/0.27 thf(f1,conjecture,(
% 0.19/0.27 (c_less_ @ c_2 @ c0) => (! [X0 : $i,X1 : $i] : ((c_less_ @ X0 @ c0) => (X0 != ((absval @ X1)))) => ? [X2 : ($i > $o)] : ((X2 @ c_2) & ! [X3 : $i] : ~(X2 @ (absval @ X3))))),
% 0.19/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBLEDSOE_FENG_8)).
% 0.19/0.27 thf(f2,negated_conjecture,(
% 0.19/0.27 ~((c_less_ @ c_2 @ c0) => (! [X0 : $i,X1 : $i] : ((c_less_ @ X0 @ c0) => (X0 != ((absval @ X1)))) => ? [X2 : ($i > $o)] : ((X2 @ c_2) & ! [X3 : $i] : ~(X2 @ (absval @ X3)))))),
% 0.19/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.27 thf(f3,plain,(
% 0.19/0.27 ~((c_less_ @ c_2 @ c0) => (! [X0 : $i,X1 : $i] : ((c_less_ @ X0 @ c0) => (X0 != ((absval @ X1)))) => ? [X2 : ($i > $o)] : ((X2 @ c_2) & ! [X3 : $i] : ~(X2 @ (absval @ X3)))))),
% 0.19/0.27 inference(rectify,[],[f2])).
% 0.19/0.27 thf(f4,plain,(
% 0.19/0.27 ~((((c_less_ @ c_2 @ c0)) = $true) => (! [X0 : $i,X1 : $i] : ((((c_less_ @ X0 @ c0)) = $true) => (((absval @ X1)) != X0)) => ? [X2 : ($i > $o)] : ((((X2 @ c_2)) = $true) & ! [X3 : $i] : ~ (((X2 @ (absval @ X3))) = $true))))),
% 0.19/0.27 inference(fool_elimination,[],[f3])).
% 0.19/0.27 thf(f5,plain,(
% 0.19/0.27 ~((((c_less_ @ c_2 @ c0)) = $true) => (! [X0 : $i,X1 : $i] : ((((c_less_ @ X0 @ c0)) = $true) => (((absval @ X1)) != X0)) => ? [X2 : ($i > $o)] : ((((X2 @ c_2)) = $true) & ! [X3 : $i] : (((X2 @ (absval @ X3))) != $true))))),
% 0.19/0.27 inference(flattening,[],[f4])).
% 0.19/0.27 thf(f6,plain,(
% 0.19/0.27 (! [X2 : ($i > $o)] : ((((X2 @ c_2)) != $true) | ? [X3 : $i] : (((X2 @ (absval @ X3))) = $true)) & ! [X0 : $i,X1 : $i] : ((((absval @ X1)) != X0) | (((c_less_ @ X0 @ c0)) != $true))) & (((c_less_ @ c_2 @ c0)) = $true)),
% 0.19/0.27 inference(ennf_transformation,[],[f5])).
% 0.19/0.27 thf(f7,plain,(
% 0.19/0.27 ! [X2 : ($i > $o)] : ((((X2 @ c_2)) != $true) | ? [X3 : $i] : (((X2 @ (absval @ X3))) = $true)) & ! [X0 : $i,X1 : $i] : ((((absval @ X1)) != X0) | (((c_less_ @ X0 @ c0)) != $true)) & (((c_less_ @ c_2 @ c0)) = $true)),
% 0.19/0.27 inference(flattening,[],[f6])).
% 0.19/0.27 thf(f8,plain,(
% 0.19/0.27 ! [X0 : ($i > $o)] : (($true != ((X0 @ c_2))) | ? [X1 : $i] : ($true = ((X0 @ (absval @ X1))))) & ! [X2 : $i,X3 : $i] : ((((absval @ X3)) != X2) | ($true != ((c_less_ @ X2 @ c0)))) & (((c_less_ @ c_2 @ c0)) = $true)),
% 0.19/0.27 inference(rectify,[],[f7])).
% 0.19/0.27 thf(f9,plain,(
% 0.19/0.27 ! [X0 : ($i > $o)] : (($true != ((X0 @ c_2))) | ($true = ((X0 @ (absval @ (sK0 @ X0)))))) & ! [X2 : $i,X3 : $i] : ((((absval @ X3)) != X2) | ($true != ((c_less_ @ X2 @ c0)))) & (((c_less_ @ c_2 @ c0)) = $true)),
% 0.19/0.27 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,sK0 @ X0)],[f8])).
% 0.19/0.27 thf(f10,plain,(
% 0.19/0.27 (((c_less_ @ c_2 @ c0)) = $true)),
% 0.19/0.27 inference(cnf_transformation,[],[f9])).
% 0.19/0.27 thf(f11,plain,(
% 0.19/0.27 ( ! [X2 : $i,X3 : $i] : ((((absval @ X3)) != X2) | ($true != ((c_less_ @ X2 @ c0)))) )),
% 0.19/0.27 inference(cnf_transformation,[],[f9])).
% 0.19/0.27 thf(f12,plain,(
% 0.19/0.27 ( ! [X0 : ($i > $o)] : (($true != ((X0 @ c_2))) | ($true = ((X0 @ (absval @ (sK0 @ X0)))))) )),
% 0.19/0.27 inference(cnf_transformation,[],[f9])).
% 0.19/0.27 thf(f15,plain,(
% 0.19/0.27 ( ! [X3 : $i] : (($true != ((c_less_ @ (absval @ X3) @ c0)))) )),
% 0.19/0.27 inference(equality_resolution,[],[f11])).
% 0.19/0.27 thf(f16,plain,(
% 0.19/0.27 (c_2 = ((absval @ (sK0 @ (= @ c_2)))))),
% 0.19/0.27 inference(leibniz_equality_elimination,[],[f12])).
% 0.19/0.27 thf(f30,plain,(
% 0.19/0.27 (((c_less_ @ c_2 @ c0)) != $true)),
% 0.19/0.27 inference(constrained_superposition,[],[f15,f16])).
% 0.19/0.27 thf(f31,plain,(
% 0.19/0.27 $false),
% 0.19/0.27 inference(forward_subsumption_resolution,[],[f30,f10])).
% 0.19/0.27 % SZS output end Proof for theBenchmark
% 0.19/0.27 % (2066091)------------------------------
% 0.19/0.27 % (2066091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (2066091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (2066091)CaDiCaL version: 2.1.3
% 0.19/0.27 % (2066091)Termination reason: Refutation
% 0.19/0.27 % (2066091)Time elapsed: 0.003 s
% 0.19/0.27 % (2066091)Peak memory usage: 12 MB
% 0.19/0.27 % (2066091)Instructions burned: 2 (million)
% 0.19/0.27 % (2066085)Success in time 0.046 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------