%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR058+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 09:42:26 AM UTC 2026
% Result : Theorem 12.39s 4.24s
% Output : Refutation 12.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 8 unt; 2 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 6 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 4 ( 0 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26487,axiom,
( mtvisible(c_englishmt)
=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhatisamemberofagroups) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_26487) ).
fof(f44217,conjecture,
? [X0] :
( mtvisible(c_englishmt)
=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query208) ).
fof(f44218,negated_conjecture,
~ ? [X0] :
( mtvisible(c_englishmt)
=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X0) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44226,plain,
! [X0] :
( ~ prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X0)
& mtvisible(c_englishmt) ),
inference(ennf_transformation,[],[f44218]) ).
fof(f44235,plain,
( prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhatisamemberofagroups)
| ~ mtvisible(c_englishmt) ),
inference(ennf_transformation,[],[f26487]) ).
fof(f44256,plain,
mtvisible(c_englishmt),
inference(cnf_transformation,[],[f44226]) ).
fof(f44257,plain,
! [X0] : ~ prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),X0),
inference(cnf_transformation,[],[f44226]) ).
fof(f44266,plain,
( prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhatisamemberofagroups)
| ~ mtvisible(c_englishmt) ),
inference(cnf_transformation,[],[f44235]) ).
fof(f44290,definition,
( spl0_1
<=> mtvisible(c_englishmt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f44370,definition,
( spl0_17
<=> prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhatisamemberofagroups) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f44372,plain,
( prettystring(f_subcollectionofwithrelationfromtypefn(c_terrorist,c_hasmembers,c_terroristgroup),s_terroriststhatisamemberofagroups)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f44370]) ).
fof(f44373,plain,
( ~ spl0_1
| spl0_17 ),
inference(avatar_split_clause,[],[f44266,f44370,f44290]) ).
fof(f44374,plain,
spl0_1,
inference(avatar_split_clause,[],[f44256,f44290]) ).
fof(f44405,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f44372,f44257]) ).
fof(f44406,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f44405]) ).
cnf(s17,plain,
( ~ spl0_1
| spl0_17 ),
inference(sat_conversion,[],[f44373]) ).
cnf(s18,plain,
spl0_1,
inference(sat_conversion,[],[f44374]) ).
cnf(s34,plain,
~ spl0_17,
inference(sat_conversion,[],[f44406]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s17,s34,s18]) ).
fof(f44407,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR058+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n019.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 22:21:03 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.28 Running first-order theorem proving
% 0.08/0.28 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
% 9.66/3.99 % (342315)Detected formulas, will run a generic FOF schedule.
% 9.66/3.99 % (342326)dis-21_1_sil=8000:lcm=predicate:random_seed=3087180231:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2982 on theBenchmark for (2982ds/129Mi)
% 9.66/3.99 % (342320)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=3269756575:i=141193_2982 on theBenchmark for (2982ds/141193Mi)
% 9.66/3.99 % (342321)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=2423638530:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2982 on theBenchmark for (2982ds/134677Mi)
% 9.66/3.99 % (342322)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=123087805:i=141695:sd=1:nm=32:gsp=on:ss=included_2982 on theBenchmark for (2982ds/141695Mi)
% 9.66/3.99 % (342323)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=135100284:i=109:sd=1:ins=1:gsp=on:ss=axioms_2982 on theBenchmark for (2982ds/109Mi)
% 9.66/3.99 % (342324)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3017354537:i=119:av=off:ss=axioms_2982 on theBenchmark for (2982ds/119Mi)
% 9.66/3.99 % (342325)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2650400063:s2a=on:i=139:gtg=position_2982 on theBenchmark for (2982ds/139Mi)
% 9.66/3.99 % (342326)Instruction limit reached!
% 9.66/3.99 % (342326)------------------------------
% 9.66/3.99 % (342326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/3.99 % (342326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/3.99 % (342326)CaDiCaL version: 2.1.3
% 9.66/3.99 % (342326)Termination reason: Instruction limit
% 9.66/3.99 % (342326)Termination phase: SInE selection
% 9.66/3.99 % (342326)Time elapsed: 0.077 s
% 9.66/3.99 % (342326)Peak memory usage: 111 MB
% 9.66/3.99 % (342326)Instructions burned: 131 (million)
% 9.66/3.99 % (342325)Instruction limit reached!
% 9.66/3.99 % (342325)------------------------------
% 9.66/3.99 % (342325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/3.99 % (342325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/3.99 % (342325)CaDiCaL version: 2.1.3
% 9.66/3.99 % (342325)Termination reason: Instruction limit
% 9.66/3.99 % (342325)Termination phase: Property scanning
% 9.66/3.99 % (342325)Time elapsed: 0.125 s
% 9.66/3.99 % (342325)Peak memory usage: 110 MB
% 9.66/3.99 % (342325)Instructions burned: 139 (million)
% 9.66/3.99 % (342323)Instruction limit reached!
% 9.66/3.99 % (342323)------------------------------
% 9.66/3.99 % (342323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/3.99 % (342323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/3.99 % (342323)CaDiCaL version: 2.1.3
% 9.66/3.99 % (342323)Termination reason: Instruction limit
% 9.66/3.99 % (342323)Termination phase: Saturation
% 9.66/3.99 % (342323)Time elapsed: 0.129 s
% 9.66/3.99 % (342323)Peak memory usage: 116 MB
% 9.66/3.99 % (342323)Instructions burned: 110 (million)
% 9.66/3.99 % (342324)Instruction limit reached!
% 9.66/3.99 % (342324)------------------------------
% 9.66/3.99 % (342324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/3.99 % (342324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/3.99 % (342324)CaDiCaL version: 2.1.3
% 9.66/3.99 % (342324)Termination reason: Instruction limit
% 9.66/3.99 % (342324)Termination phase: Saturation
% 9.66/3.99 % (342324)Time elapsed: 0.133 s
% 9.66/3.99 % (342324)Peak memory usage: 116 MB
% 9.66/3.99 % (342324)Instructions burned: 120 (million)
% 9.66/3.99 % (342334)lrs+10_1_sil=8000:sp=occurrence:random_seed=2501948927:i=285:sd=3:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/285Mi)
% 9.66/3.99 % (342334)Refutation not found, incomplete strategy
% 9.66/3.99 % (342334)------------------------------
% 9.66/3.99 % (342334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.66/3.99 % (342334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.66/3.99 % (342334)CaDiCaL version: 2.1.3
% 9.66/3.99 % (342334)Termination reason: Refutation not found, incomplete strategy
% 9.66/3.99 % (342334)Time elapsed: 0.079 s
% 9.66/3.99 % (342334)Peak memory usage: 119 MB
% 9.66/3.99 % (342334)Instructions burned: 108 (million)
% 9.66/3.99 % (342335)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1230203348:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/157Mi)
% 12.39/4.23 % (342336)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2688144266:i=325:sd=1:ss=axioms:sgt=32_2978 on theBenchmark for (2978ds/325Mi)
% 12.39/4.23 % (342337)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1647898925:s2a=on:i=248:s2at=1.23:gtg=position_2978 on theBenchmark for (2978ds/248Mi)
% 12.39/4.23 % (342335)Instruction limit reached!
% 12.39/4.23 % (342335)------------------------------
% 12.39/4.23 % (342335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/4.23 % (342335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/4.23 % (342335)CaDiCaL version: 2.1.3
% 12.39/4.23 % (342335)Termination reason: Instruction limit
% 12.39/4.23 % (342335)Termination phase: Property scanning
% 12.39/4.23 % (342335)Time elapsed: 0.137 s
% 12.39/4.23 % (342335)Peak memory usage: 110 MB
% 12.39/4.23 % (342335)Instructions burned: 157 (million)
% 12.39/4.23 % (342336)First to succeed.
% 12.39/4.23 % (342336)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-342315"
% 12.39/4.23 % (342334)------------------------------
% 12.39/4.23 % (342334)------------------------------
% 12.39/4.23 % (342337)Instruction limit reached!
% 12.39/4.23 % (342337)------------------------------
% 12.39/4.23 % (342337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/4.23 % (342337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/4.23 % (342337)CaDiCaL version: 2.1.3
% 12.39/4.23 % (342337)Termination reason: Instruction limit
% 12.39/4.23 % (342337)Termination phase: SInE selection
% 12.39/4.23 % (342337)Time elapsed: 0.224 s
% 12.39/4.23 % (342337)Peak memory usage: 111 MB
% 12.39/4.23 % (342337)Instructions burned: 248 (million)
% 12.39/4.23 % (342342)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4247773673:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 12.39/4.23 % (342343)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2576907739:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 12.39/4.23 [W928 22:21:07.089875813 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.39/4.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.39/4.23 [W928 22:21:07.089936746 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.39/4.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.39/4.23 [W928 22:21:07.090024513 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.39/4.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.39/4.23 [W928 22:21:07.090046086 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.39/4.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.39/4.23 [W928 22:21:07.090094906 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.39/4.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.39/4.23 [W928 22:21:07.090113113 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.39/4.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.39/4.23 [W928 22:21:07.090156870 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.39/4.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.39/4.23 [W928 22:21:07.090174080 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.39/4.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.39/4.23 [W928 22:21:07.090220177 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.39/4.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.39/4.23 [W928 22:21:07.090297023 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.39/4.23 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.39/4.23 [W928 22:21:07.090382193 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.39/4.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.39/4.24 [W928 22:21:07.090427987 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 12.39/4.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.39/4.24 % (342344)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3011296331:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 12.39/4.24 % (342336)Refutation found. Thanks to Tanya!
% 12.39/4.24 % SZS status Theorem for theBenchmark
% 12.39/4.24 % SZS output start Proof for theBenchmark
% See solution above
% 12.39/4.24 % (342336)------------------------------
% 12.39/4.24 % (342336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/4.24 % (342336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/4.24 % (342336)CaDiCaL version: 2.1.3
% 12.39/4.24 % (342336)Termination reason: Refutation
% 12.39/4.24 % (342336)Time elapsed: 0.142 s
% 12.39/4.24 % (342336)Peak memory usage: 120 MB
% 12.39/4.24 % (342336)Instructions burned: 113 (million)
% 12.39/4.24 % (342336)------------------------------
% 12.39/4.24 % (342336)------------------------------
% 12.39/4.24 % (342315)Success in time 3.122 s
% 12.39/4.24 % Vampire exiting
%------------------------------------------------------------------------------