%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV903-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 : Tue Sep 29 01:19:45 PM UTC 2026
% Result : Unsatisfiable 9.04s 2.21s
% Output : Refutation 9.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 23 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 12 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-5 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f569,axiom,
! [X0,X1] : c_Option_Ooption_ONone(X0) != c_Option_Ooption_OSome(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_option_Osimps_I2_J_0) ).
fof(f628,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_Map_Odom(X1,X2,X3),X2)
| hAPP(X1,X0) = c_Option_Ooption_ONone(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_domIff_1) ).
fof(f629,plain,
! [X2,X3,X0,X1] :
( c_in(X0,c_Map_Odom(X1,X2,X3),X2)
| c_Option_Ooption_ONone(X3) = hAPP(X1,X0) ),
inference(reorient_equations,[],[f628]) ).
fof(f724,axiom,
! [X2,X3,X0,X1,X4,X5] : c_Set_Oimage(X0,c_Set_Oimage(X1,X2,X3,X4),X4,X5) = c_Set_Oimage(c_COMBB(X0,X1,X4,X5,X3),X2,X3,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__image_0) ).
fof(f725,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_in(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
fof(f763,axiom,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f806,axiom,
! [X2,X3,X0,X1,X4] :
( c_in(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_imageI_0) ).
fof(f814,negated_conjecture,
hAPP(c_Com_Obody,v_pna) = c_Option_Ooption_OSome(v_ya,tc_Com_Ocom),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f815,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f857,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),
inference(forward_demodulation,[],[f815,f724]) ).
fof(f989,plain,
hAPP(c_Com_Obody,v_pna) != c_Option_Ooption_ONone(tc_Com_Ocom),
inference(superposition,[],[f569,f814]) ).
fof(f1121,plain,
( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| ~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)) ),
inference(resolution,[],[f857,f725]) ).
fof(f1174,plain,
~ c_in(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
inference(forward_subsumption_resolution,[],[f1121,f763]) ).
fof(f1975,plain,
~ c_in(hAPP(c_Com_Ocom_OBODY,v_pna),c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom),
inference(resolution,[],[f1174,f806]) ).
fof(f2091,plain,
~ c_in(v_pna,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
inference(resolution,[],[f1975,f806]) ).
fof(f2135,plain,
hAPP(c_Com_Obody,v_pna) = c_Option_Ooption_ONone(tc_Com_Ocom),
inference(resolution,[],[f2091,f629]) ).
fof(f2147,plain,
$false,
inference(forward_subsumption_resolution,[],[f2135,f989]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV903-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n013.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Sep 28 12:51:51 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.32 Running first-order theorem proving
% 0.27/0.32 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
% 9.04/2.21 % (1152820)Input is clausal, will run a generic CNF schedule.
% 9.04/2.21 % (1152825)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=977796210:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.04/2.21 % (1152829)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3212809037:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.04/2.21 % (1152830)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=790102442:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.04/2.21 % (1152827)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=866598512:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.04/2.21 % (1152828)lrs+10_1_sil=8000:sp=occurrence:random_seed=3260506219:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.04/2.21 % (1152826)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1611834473:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.04/2.21 % (1152829)Instruction limit reached!
% 9.04/2.21 % (1152829)------------------------------
% 9.04/2.21 % (1152829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (1152829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (1152829)CaDiCaL version: 2.1.3
% 9.04/2.21 % (1152829)Termination reason: Instruction limit
% 9.04/2.21 % (1152829)Termination phase: Saturation
% 9.04/2.21 % (1152829)Time elapsed: 0.112 s
% 9.04/2.21 % (1152829)Peak memory usage: 89 MB
% 9.04/2.21 % (1152829)Instructions burned: 114 (million)
% 9.04/2.21 % (1152831)dis-21_1_sil=8000:lcm=predicate:random_seed=3353091724: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)
% 9.04/2.21 % (1152828)Instruction limit reached!
% 9.04/2.21 % (1152828)------------------------------
% 9.04/2.21 % (1152828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (1152828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (1152828)CaDiCaL version: 2.1.3
% 9.04/2.21 % (1152828)Termination reason: Instruction limit
% 9.04/2.21 % (1152828)Termination phase: Saturation
% 9.04/2.21 % (1152828)Time elapsed: 0.119 s
% 9.04/2.21 % (1152828)Peak memory usage: 89 MB
% 9.04/2.21 % (1152828)Instructions burned: 107 (million)
% 9.04/2.21 % (1152831)Instruction limit reached!
% 9.04/2.21 % (1152831)------------------------------
% 9.04/2.21 % (1152831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (1152831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (1152831)CaDiCaL version: 2.1.3
% 9.04/2.21 % (1152831)Termination reason: Instruction limit
% 9.04/2.21 % (1152831)Termination phase: Saturation
% 9.04/2.21 % (1152831)Time elapsed: 0.116 s
% 9.04/2.21 % (1152831)Peak memory usage: 89 MB
% 9.04/2.21 % (1152831)Instructions burned: 117 (million)
% 9.04/2.21 % (1152830)Instruction limit reached!
% 9.04/2.21 % (1152830)------------------------------
% 9.04/2.21 % (1152830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (1152830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (1152830)CaDiCaL version: 2.1.3
% 9.04/2.21 % (1152830)Termination reason: Instruction limit
% 9.04/2.21 % (1152830)Termination phase: Saturation
% 9.04/2.21 % (1152830)Time elapsed: 0.185 s
% 9.04/2.21 % (1152830)Peak memory usage: 90 MB
% 9.04/2.21 % (1152830)Instructions burned: 180 (million)
% 9.04/2.21 % (1152838)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=3735903678:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 9.04/2.21 % (1152842)lrs+10_64_to=lpo:sil=8000:random_seed=4236796262:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 9.04/2.21 % (1152838)Instruction limit reached!
% 9.04/2.21 % (1152838)------------------------------
% 9.04/2.21 % (1152838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (1152838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (1152838)CaDiCaL version: 2.1.3
% 9.04/2.21 % (1152838)Termination reason: Instruction limit
% 9.04/2.21 % (1152838)Termination phase: Saturation
% 9.04/2.21 % (1152838)Time elapsed: 0.148 s
% 9.04/2.21 % (1152838)Peak memory usage: 90 MB
% 9.04/2.21 % (1152838)Instructions burned: 144 (million)
% 9.04/2.21 % (1152840)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3698835100:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 9.04/2.21 % (1152841)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2902896080:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 9.04/2.21 % (1152842)Instruction limit reached!
% 9.04/2.21 % (1152842)------------------------------
% 9.04/2.21 % (1152842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (1152842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (1152842)CaDiCaL version: 2.1.3
% 9.04/2.21 % (1152842)Termination reason: Instruction limit
% 9.04/2.21 % (1152842)Termination phase: Saturation
% 9.04/2.21 % (1152842)Time elapsed: 0.092 s
% 9.04/2.21 % (1152842)Peak memory usage: 90 MB
% 9.04/2.21 % (1152842)Instructions burned: 126 (million)
% 9.04/2.21 % (1152841)First to succeed.
% 9.04/2.21 % (1152841)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1152820"
% 9.04/2.21 % (1152840)Instruction limit reached!
% 9.04/2.21 % (1152840)------------------------------
% 9.04/2.21 % (1152840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (1152840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (1152840)CaDiCaL version: 2.1.3
% 9.04/2.21 % (1152840)Termination reason: Instruction limit
% 9.04/2.21 % (1152840)Termination phase: Saturation
% 9.04/2.21 % (1152840)Time elapsed: 0.183 s
% 9.04/2.21 % (1152840)Peak memory usage: 91 MB
% 9.04/2.21 % (1152840)Instructions burned: 189 (million)
% 9.04/2.21 % (1152825)Also succeeded, but the first one will report.
% 9.04/2.21 % (1152846)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3072278922:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 9.04/2.21 % (1152848)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3581982350:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 9.04/2.21 % (1152849)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3228859411:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 9.04/2.21 % (1152846)Instruction limit reached!
% 9.04/2.21 % (1152846)------------------------------
% 9.04/2.21 % (1152846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (1152846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (1152846)CaDiCaL version: 2.1.3
% 9.04/2.21 % (1152846)Termination reason: Instruction limit
% 9.04/2.21 % (1152846)Termination phase: Saturation
% 9.04/2.21 % (1152846)Time elapsed: 0.213 s
% 9.04/2.21 % (1152846)Peak memory usage: 90 MB
% 9.04/2.21 % (1152846)Instructions burned: 194 (million)
% 9.04/2.21 % (1152841)Refutation found. Thanks to Tanya!
% 9.04/2.21 % SZS status Unsatisfiable for theBenchmark
% 9.04/2.21 % SZS output start Proof for theBenchmark
% See solution above
% 9.04/2.21 % (1152841)------------------------------
% 9.04/2.21 % (1152841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.04/2.21 % (1152841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.04/2.21 % (1152841)CaDiCaL version: 2.1.3
% 9.04/2.21 % (1152841)Termination reason: Refutation
% 9.04/2.21 % (1152841)Time elapsed: 0.087 s
% 9.04/2.21 % (1152841)Peak memory usage: 90 MB
% 9.04/2.21 % (1152841)Instructions burned: 87 (million)
% 9.04/2.21 % (1152841)------------------------------
% 9.04/2.21 % (1152841)------------------------------
% 9.04/2.21 % (1152820)Success in time 1.198 s
% 9.04/2.21 % Vampire exiting
%------------------------------------------------------------------------------