%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW478+3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 : Tue Sep 29 01:30:38 PM UTC 2026
% Result : Theorem 5.84s 1.83s
% Output : Refutation 5.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 25 ( 25 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f143,axiom,
hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).
fof(f1491,conjecture,
hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1492,negated_conjecture,
~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
inference(negated_conjecture,[status(cth)],[f1491]) ).
fof(f1493,plain,
~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
inference(flattening,[],[f1492]) ).
fof(f1538,plain,
~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
inference(cnf_transformation,[],[f1493]) ).
fof(f1539,plain,
hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(member773094996on_val,hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a)))),red(p))),
inference(cnf_transformation,[],[f143]) ).
fof(f1588,plain,
$false,
inference(forward_subsumption_resolution,[],[f1538,f1539]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW478+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n001.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 14:19:33 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.28 Running first-order theorem proving
% 0.26/0.28 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.84/1.83 % (368631)Detected formulas, will run a generic FOF schedule.
% 5.84/1.83 % (368638)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3056655214:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 5.84/1.83 % (368641)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3849006271:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 5.84/1.83 % (368642)dis-21_1_sil=8000:lcm=predicate:random_seed=631887149:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 5.84/1.83 % (368637)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4016162169:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 5.84/1.83 % (368640)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=817248680:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 5.84/1.83 % (368639)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3305912181:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 5.84/1.83 % (368636)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2361981568:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 5.84/1.83 % (368639)First to succeed.
% 5.84/1.83 % (368639)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-368631"
% 5.84/1.83 % (368641)Instruction limit reached!
% 5.84/1.83 % (368641)------------------------------
% 5.84/1.83 % (368641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.83 % (368641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.83 % (368641)CaDiCaL version: 2.1.3
% 5.84/1.83 % (368641)Termination reason: Instruction limit
% 5.84/1.83 % (368641)Termination phase: Property scanning
% 5.84/1.83 % (368641)Time elapsed: 0.121 s
% 5.84/1.83 % (368641)Peak memory usage: 90 MB
% 5.84/1.83 % (368641)Instructions burned: 139 (million)
% 5.84/1.83 % (368642)Instruction limit reached!
% 5.84/1.83 % (368642)------------------------------
% 5.84/1.83 % (368642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.83 % (368642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.83 % (368642)CaDiCaL version: 2.1.3
% 5.84/1.83 % (368642)Termination reason: Instruction limit
% 5.84/1.83 % (368642)Termination phase: Property scanning
% 5.84/1.83 % (368642)Time elapsed: 0.110 s
% 5.84/1.83 % (368642)Peak memory usage: 90 MB
% 5.84/1.83 % (368642)Instructions burned: 130 (million)
% 5.84/1.83 % (368640)Also succeeded, but the first one will report.
% 5.84/1.83 % (368650)lrs+10_1_sil=8000:sp=occurrence:random_seed=1908109164:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 5.84/1.83 % (368650)Also succeeded, but the first one will report.
% 5.84/1.83 % (368651)lrs+10_1_sil=32000:urr=on:br=off:random_seed=367431476:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 5.84/1.83 % (368651)Also succeeded, but the first one will report.
% 5.84/1.83 % (368639)Refutation found. Thanks to Tanya!
% 5.84/1.83 % SZS status Theorem for theBenchmark
% 5.84/1.83 % SZS output start Proof for theBenchmark
% See solution above
% 5.84/1.83 % (368639)------------------------------
% 5.84/1.83 % (368639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.84/1.83 % (368639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.84/1.83 % (368639)CaDiCaL version: 2.1.3
% 5.84/1.83 % (368639)Termination reason: Refutation
% 5.84/1.83 % (368639)Time elapsed: 0.016 s
% 5.84/1.83 % (368639)Peak memory usage: 90 MB
% 5.84/1.83 % (368639)Instructions burned: 14 (million)
% 5.84/1.83 % (368639)------------------------------
% 5.84/1.83 % (368639)------------------------------
% 5.84/1.83 % (368631)Success in time 0.794 s
% 5.84/1.83 % Vampire exiting
%------------------------------------------------------------------------------