%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV842-1 : 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 : n007.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 01:19:38 PM UTC 2026
% Result : Unsatisfiable 3.87s 1.36s
% Output : Refutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-5 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f648,axiom,
! [X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty_0) ).
fof(f661,axiom,
! [X2,X0,X1] : c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__empty_0) ).
fof(f662,plain,
! [X2,X0,X1] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X2),
inference(reorient_equations,[],[f661]) ).
fof(f668,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oimage(c_COMBS(c_COMBS(hAPP(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_b),tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),t_a),v_P),v_c0,t_a,tc_Com_Ocom,tc_fun(tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b))),v_Q,t_a,tc_fun(t_b,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_b)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,tc_Hoare__Mirabelle_Otriple(t_b)),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f724,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_b),tc_bool)),t_b),
inference(superposition,[],[f668,f662]) ).
fof(f725,plain,
$false,
inference(forward_subsumption_resolution,[],[f724,f648]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV842-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n007.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 12:39:40 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 3.87/1.36 % (2364860)Input is clausal, will run a generic CNF schedule.
% 3.87/1.36 % (2364866)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1582226114:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.87/1.36 % (2364865)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=173062636:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.87/1.36 % (2364871)dis-21_1_sil=8000:lcm=predicate:random_seed=3614559703: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)
% 3.87/1.36 % (2364868)lrs+10_1_sil=8000:sp=occurrence:random_seed=2956230885:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.87/1.36 % (2364867)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1518546236:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.87/1.36 % (2364869)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1131536670:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.87/1.36 % (2364870)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3472962706:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.87/1.36 % (2364870)First to succeed.
% 3.87/1.36 % (2364870)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2364860"
% 3.87/1.36 % (2364868)Also succeeded, but the first one will report.
% 3.87/1.36 % (2364869)Also succeeded, but the first one will report.
% 3.87/1.36 % (2364871)Instruction limit reached!
% 3.87/1.36 % (2364871)------------------------------
% 3.87/1.36 % (2364871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.36 % (2364871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.36 % (2364871)CaDiCaL version: 2.1.3
% 3.87/1.36 % (2364871)Termination reason: Instruction limit
% 3.87/1.36 % (2364871)Termination phase: Saturation
% 3.87/1.36 % (2364871)Time elapsed: 0.048 s
% 3.87/1.36 % (2364871)Peak memory usage: 88 MB
% 3.87/1.36 % (2364871)Instructions burned: 118 (million)
% 3.87/1.36 % (2364879)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=1205052894:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.87/1.36 % (2364879)Also succeeded, but the first one will report.
% 3.87/1.36 % (2364870)Refutation found. Thanks to Tanya!
% 3.87/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.87/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.87/1.36 % (2364870)------------------------------
% 3.87/1.36 % (2364870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.36 % (2364870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.36 % (2364870)CaDiCaL version: 2.1.3
% 3.87/1.36 % (2364870)Termination reason: Refutation
% 3.87/1.36 % (2364870)Time elapsed: 0.017 s
% 3.87/1.36 % (2364870)Peak memory usage: 88 MB
% 3.87/1.36 % (2364870)Instructions burned: 32 (million)
% 3.87/1.36 % (2364870)------------------------------
% 3.87/1.36 % (2364870)------------------------------
% 3.87/1.36 % (2364860)Success in time 0.481 s
% 3.87/1.36 % Vampire exiting
%------------------------------------------------------------------------------