%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV910-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:19:46 PM UTC 2026
% Result : Unsatisfiable 5.48s 1.76s
% Output : Refutation 5.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f462,axiom,
! [X2,X3,X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),X1),X2,X3,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool))),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_falseE_0) ).
fof(f543,axiom,
! [X2,X3,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool))),X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X2),X3),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_derivs__insertD_0) ).
fof(f546,negated_conjecture,
! [X0,X1] : ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f641,plain,
! [X2,X0,X1] : ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),X2),t_a),
inference(resolution,[],[f543,f546]) ).
fof(f650,plain,
$false,
inference(resolution,[],[f462,f641]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV910-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n003.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 12:54:43 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.27 Running first-order theorem proving
% 0.10/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.48/1.76 % (1562855)Input is clausal, will run a generic CNF schedule.
% 5.48/1.76 % (1562871)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3632315377:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.48/1.76 % (1562874)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2297860904:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.48/1.76 % (1562874)Instruction limit reached!
% 5.48/1.76 % (1562874)------------------------------
% 5.48/1.76 % (1562874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.76 % (1562874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.76 % (1562874)CaDiCaL version: 2.1.3
% 5.48/1.76 % (1562874)Termination reason: Instruction limit
% 5.48/1.76 % (1562874)Termination phase: Saturation
% 5.48/1.76 % (1562874)Time elapsed: 0.059 s
% 5.48/1.76 % (1562874)Peak memory usage: 88 MB
% 5.48/1.76 % (1562874)Instructions burned: 114 (million)
% 5.48/1.76 % (1562875)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1588566098:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.48/1.76 % (1562870)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=1925216682:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.48/1.76 % (1562872)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1725628240:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.48/1.76 % (1562873)lrs+10_1_sil=8000:sp=occurrence:random_seed=3940889739:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.48/1.76 % (1562876)dis-21_1_sil=8000:lcm=predicate:random_seed=2356660950:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.48/1.76 % (1562875)First to succeed.
% 5.48/1.76 % (1562875)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1562855"
% 5.48/1.76 % (1562873)Instruction limit reached!
% 5.48/1.76 % (1562873)------------------------------
% 5.48/1.76 % (1562873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.76 % (1562873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.76 % (1562873)CaDiCaL version: 2.1.3
% 5.48/1.76 % (1562873)Termination reason: Instruction limit
% 5.48/1.76 % (1562873)Termination phase: Saturation
% 5.48/1.76 % (1562873)Time elapsed: 0.112 s
% 5.48/1.76 % (1562873)Peak memory usage: 89 MB
% 5.48/1.76 % (1562873)Instructions burned: 107 (million)
% 5.48/1.76 % (1562876)Instruction limit reached!
% 5.48/1.76 % (1562876)------------------------------
% 5.48/1.76 % (1562876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.76 % (1562876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.76 % (1562876)CaDiCaL version: 2.1.3
% 5.48/1.76 % (1562876)Termination reason: Instruction limit
% 5.48/1.76 % (1562876)Termination phase: Saturation
% 5.48/1.76 % (1562876)Time elapsed: 0.105 s
% 5.48/1.76 % (1562876)Peak memory usage: 89 MB
% 5.48/1.76 % (1562876)Instructions burned: 118 (million)
% 5.48/1.76 % (1562884)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1533057930:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.48/1.76 % (1562884)Also succeeded, but the first one will report.
% 5.48/1.76 % (1562887)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2354728093:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 5.48/1.76 % (1562888)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1539330430:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 5.48/1.76 % (1562887)Also succeeded, but the first one will report.
% 5.48/1.76 % (1562875)Refutation found. Thanks to Tanya!
% 5.48/1.76 % SZS status Unsatisfiable for theBenchmark
% 5.48/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 5.48/1.76 % (1562875)------------------------------
% 5.48/1.76 % (1562875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.48/1.76 % (1562875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.48/1.76 % (1562875)CaDiCaL version: 2.1.3
% 5.48/1.76 % (1562875)Termination reason: Refutation
% 5.48/1.76 % (1562875)Time elapsed: 0.030 s
% 5.48/1.76 % (1562875)Peak memory usage: 89 MB
% 5.48/1.76 % (1562875)Instructions burned: 31 (million)
% 5.48/1.76 % (1562875)------------------------------
% 5.48/1.76 % (1562875)------------------------------
% 5.48/1.76 % (1562855)Success in time 0.674 s
% 5.48/1.76 % Vampire exiting
%------------------------------------------------------------------------------