TSTP Solution File: HAL003+2 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : HAL003+2 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 07:26:16 EDT 2024
% Result : CounterSatisfiable 1.99s 0.65s
% Output : FiniteModel 1.99s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
alpha: $i ).
tff('declare_$i2',type,
b: $i ).
tff('declare_$i3',type,
e: $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = alpha )
| ( X = b )
| ( X = e ) ) ).
tff('distinct_domain_$i',axiom,
( ( alpha != b )
& ( alpha != e )
& ( b != e ) ) ).
tff(declare_a,type,
a: $i ).
tff(a_definition,axiom,
a = alpha ).
tff(declare_beta,type,
beta: $i ).
tff(beta_definition,axiom,
beta = b ).
tff(declare_c,type,
c: $i ).
tff(c_definition,axiom,
c = alpha ).
tff(declare_gamma,type,
gamma: $i ).
tff(gamma_definition,axiom,
gamma = alpha ).
tff(declare_d,type,
d: $i ).
tff(d_definition,axiom,
d = alpha ).
tff(declare_delta,type,
delta: $i ).
tff(delta_definition,axiom,
delta = b ).
tff(declare_r,type,
r: $i ).
tff(r_definition,axiom,
r = alpha ).
tff(declare_f,type,
f: $i ).
tff(f_definition,axiom,
f = e ).
tff(declare_g,type,
g: $i ).
tff(g_definition,axiom,
g = alpha ).
tff(declare_h,type,
h: $i ).
tff(h_definition,axiom,
h = e ).
tff(declare_gammma,type,
gammma: $i ).
tff(gammma_definition,axiom,
gammma = b ).
tff(declare_apply,type,
apply: ( $i * $i ) > $i ).
tff(function_apply,axiom,
( ( apply(alpha,alpha) = alpha )
& ( apply(alpha,b) = e )
& ( apply(alpha,e) = e )
& ( apply(b,alpha) = b )
& ( apply(b,b) = b )
& ( apply(b,e) = b )
& ( apply(e,alpha) = b )
& ( apply(e,b) = b )
& ( apply(e,e) = alpha ) ) ).
tff(declare_zero,type,
zero: $i > $i ).
tff(function_zero,axiom,
( ( zero(alpha) = b )
& ( zero(b) = e )
& ( zero(e) = e ) ) ).
tff(declare_subtract,type,
subtract: ( $i * $i * $i ) > $i ).
tff(function_subtract,axiom,
( ( subtract(alpha,alpha,alpha) = b )
& ( subtract(alpha,alpha,b) = alpha )
& ( subtract(alpha,alpha,e) = e )
& ( subtract(alpha,b,alpha) = alpha )
& ( subtract(alpha,b,b) = b )
& ( subtract(alpha,b,e) = e )
& ( subtract(alpha,e,alpha) = alpha )
& ( subtract(alpha,e,b) = e )
& ( subtract(alpha,e,e) = b )
& ( subtract(b,alpha,alpha) = e )
& ( subtract(b,alpha,b) = b )
& ( subtract(b,alpha,e) = alpha )
& ( subtract(b,b,alpha) = b )
& ( subtract(b,b,b) = alpha )
& ( subtract(b,b,e) = alpha )
& ( subtract(b,e,alpha) = alpha )
& ( subtract(b,e,b) = b )
& ( subtract(b,e,e) = e )
& ( subtract(e,alpha,alpha) = e )
& ( subtract(e,alpha,b) = b )
& ( subtract(e,alpha,e) = alpha )
& ( subtract(e,b,alpha) = alpha )
& ( subtract(e,b,b) = e )
& ( subtract(e,b,e) = b )
& ( subtract(e,e,alpha) = alpha )
& ( subtract(e,e,b) = b )
& ( subtract(e,e,e) = e ) ) ).
tff(declare_morphism,type,
morphism: ( $i * $i * $i ) > $o ).
tff(predicate_morphism,axiom,
( ~ morphism(alpha,alpha,alpha)
& morphism(alpha,alpha,b)
& morphism(alpha,alpha,e)
& ~ morphism(alpha,b,alpha)
& ~ morphism(alpha,b,b)
& morphism(alpha,b,e)
& ~ morphism(alpha,e,alpha)
& ~ morphism(alpha,e,b)
& ~ morphism(alpha,e,e)
& ~ morphism(b,alpha,alpha)
& ~ morphism(b,alpha,b)
& ~ morphism(b,alpha,e)
& morphism(b,b,alpha)
& ~ morphism(b,b,b)
& ~ morphism(b,b,e)
& morphism(b,e,alpha)
& ~ morphism(b,e,b)
& ~ morphism(b,e,e)
& morphism(e,alpha,alpha)
& ~ morphism(e,alpha,b)
& ~ morphism(e,alpha,e)
& ~ morphism(e,b,alpha)
& ~ morphism(e,b,b)
& ~ morphism(e,b,e)
& ~ morphism(e,e,alpha)
& ~ morphism(e,e,b)
& ~ morphism(e,e,e) ) ).
tff(declare_element,type,
element: ( $i * $i ) > $o ).
tff(predicate_element,axiom,
( ~ element(alpha,alpha)
& element(alpha,b)
& element(alpha,e)
& element(b,alpha)
& ~ element(b,b)
& element(b,e)
& ~ element(e,alpha)
& element(e,b)
& element(e,e) ) ).
tff(declare_injection,type,
injection: $i > $o ).
tff(predicate_injection,axiom,
( injection(alpha)
& ~ injection(b)
& injection(e) ) ).
tff(declare_surjection,type,
surjection: $i > $o ).
tff(predicate_surjection,axiom,
( ~ surjection(alpha)
& surjection(b)
& surjection(e) ) ).
tff(declare_exact,type,
exact: ( $i * $i ) > $o ).
tff(predicate_exact,axiom,
( exact(alpha,alpha)
& ~ exact(alpha,b)
& exact(alpha,e)
& exact(b,alpha)
& exact(b,b)
& exact(b,e)
& exact(e,alpha)
& ~ exact(e,b)
& exact(e,e) ) ).
tff(declare_commute,type,
commute: ( $i * $i * $i * $i ) > $o ).
tff(predicate_commute,axiom,
( commute(alpha,alpha,alpha,alpha)
& ~ commute(alpha,alpha,alpha,b)
& commute(alpha,alpha,alpha,e)
& ~ commute(alpha,alpha,b,alpha)
& ~ commute(alpha,alpha,b,b)
& ~ commute(alpha,alpha,b,e)
& commute(alpha,alpha,e,alpha)
& commute(alpha,alpha,e,b)
& ~ commute(alpha,alpha,e,e)
& ~ commute(alpha,b,alpha,alpha)
& commute(alpha,b,alpha,b)
& ~ commute(alpha,b,alpha,e)
& ~ commute(alpha,b,b,alpha)
& commute(alpha,b,b,b)
& commute(alpha,b,b,e)
& ~ commute(alpha,b,e,alpha)
& ~ commute(alpha,b,e,b)
& commute(alpha,b,e,e)
& ~ commute(alpha,e,alpha,alpha)
& ~ commute(alpha,e,alpha,b)
& ~ commute(alpha,e,alpha,e)
& ~ commute(alpha,e,b,alpha)
& ~ commute(alpha,e,b,b)
& ~ commute(alpha,e,b,e)
& ~ commute(alpha,e,e,alpha)
& ~ commute(alpha,e,e,b)
& ~ commute(alpha,e,e,e)
& ~ commute(b,alpha,alpha,alpha)
& ~ commute(b,alpha,alpha,b)
& commute(b,alpha,alpha,e)
& commute(b,alpha,b,alpha)
& commute(b,alpha,b,b)
& ~ commute(b,alpha,b,e)
& ~ commute(b,alpha,e,alpha)
& ~ commute(b,alpha,e,b)
& commute(b,alpha,e,e)
& ~ commute(b,b,alpha,alpha)
& ~ commute(b,b,alpha,b)
& ~ commute(b,b,alpha,e)
& ~ commute(b,b,b,alpha)
& commute(b,b,b,b)
& ~ commute(b,b,b,e)
& ~ commute(b,b,e,alpha)
& ~ commute(b,b,e,b)
& commute(b,b,e,e)
& commute(b,e,alpha,alpha)
& commute(b,e,alpha,b)
& commute(b,e,alpha,e)
& ~ commute(b,e,b,alpha)
& commute(b,e,b,b)
& commute(b,e,b,e)
& ~ commute(b,e,e,alpha)
& ~ commute(b,e,e,b)
& commute(b,e,e,e)
& commute(e,alpha,alpha,alpha)
& ~ commute(e,alpha,alpha,b)
& ~ commute(e,alpha,alpha,e)
& commute(e,alpha,b,alpha)
& ~ commute(e,alpha,b,b)
& ~ commute(e,alpha,b,e)
& commute(e,alpha,e,alpha)
& ~ commute(e,alpha,e,b)
& ~ commute(e,alpha,e,e)
& ~ commute(e,b,alpha,alpha)
& ~ commute(e,b,alpha,b)
& ~ commute(e,b,alpha,e)
& ~ commute(e,b,b,alpha)
& commute(e,b,b,b)
& ~ commute(e,b,b,e)
& ~ commute(e,b,e,alpha)
& ~ commute(e,b,e,b)
& ~ commute(e,b,e,e)
& ~ commute(e,e,alpha,alpha)
& commute(e,e,alpha,b)
& ~ commute(e,e,alpha,e)
& ~ commute(e,e,b,alpha)
& commute(e,e,b,b)
& ~ commute(e,e,b,e)
& ~ commute(e,e,e,alpha)
& ~ commute(e,e,e,b)
& commute(e,e,e,e) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HAL003+2 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 14:35:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_CSA_RFO_SEQ problem
% 0.12/0.35 Running first-order model finding
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.41 % (7826)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (7831)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.20/0.41 % (7826)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (7829)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.20/0.41 % (7826)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (7832)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.20/0.41 % (7826)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (7833)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.20/0.41 % (7826)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (7827)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.20/0.41 % (7826)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (7828)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.20/0.41 % (7826)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (7830)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.20/0.42 TRYING [1]
% 0.20/0.42 TRYING [2]
% 0.20/0.45 TRYING [3]
% 0.20/0.46 % (7831)Instruction limit reached!
% 0.20/0.46 % (7831)------------------------------
% 0.20/0.46 % (7831)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.46 % (7831)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.46 % (7831)Termination reason: Time limit
% 0.20/0.46 % (7831)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (7831)Memory used [KB]: 1944
% 0.20/0.46 % (7831)Time elapsed: 0.053 s
% 0.20/0.46 % (7831)Instructions burned: 104 (million)
% 0.20/0.47 % (7833)Instruction limit reached!
% 0.20/0.47 % (7833)------------------------------
% 0.20/0.47 % (7833)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47 % (7833)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47 % (7833)Termination reason: Time limit
% 0.20/0.47 % (7833)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (7833)Memory used [KB]: 3121
% 0.20/0.47 % (7833)Time elapsed: 0.056 s
% 0.20/0.47 % (7833)Instructions burned: 117 (million)
% 0.20/0.49 % (7832)Instruction limit reached!
% 0.20/0.49 % (7832)------------------------------
% 0.20/0.49 % (7832)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49 % (7832)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49 % (7832)Termination reason: Time limit
% 0.20/0.49 % (7832)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (7832)Memory used [KB]: 2536
% 0.20/0.49 % (7832)Time elapsed: 0.077 s
% 0.20/0.49 % (7832)Instructions burned: 148 (million)
% 0.20/0.50 % (7826)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.50 % (7834)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.20/0.50 % (7826)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.50 % (7835)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 1.23/0.52 % (7826)Running in auto input_syntax mode. Trying TPTP
% 1.23/0.52 % (7837)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.39/0.56 % (7835)Instruction limit reached!
% 1.39/0.56 % (7835)------------------------------
% 1.39/0.56 % (7835)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.39/0.56 % (7835)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.39/0.56 % (7835)Termination reason: Time limit
% 1.39/0.56 % (7835)Termination phase: Saturation
% 1.39/0.56
% 1.39/0.56 % (7835)Memory used [KB]: 3521
% 1.39/0.56 % (7835)Time elapsed: 0.058 s
% 1.39/0.56 % (7835)Instructions burned: 175 (million)
% 1.39/0.60 % (7826)Running in auto input_syntax mode. Trying TPTP
% 1.39/0.60 % (7838)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 1.39/0.63 % (7837)Instruction limit reached!
% 1.39/0.63 % (7837)------------------------------
% 1.39/0.63 % (7837)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.39/0.63 % (7837)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.39/0.63 % (7837)Termination reason: Time limit
% 1.39/0.63 % (7837)Termination phase: Saturation
% 1.39/0.63
% 1.39/0.63 % (7837)Memory used [KB]: 5318
% 1.39/0.63 % (7837)Time elapsed: 0.105 s
% 1.39/0.63 % (7837)Instructions burned: 270 (million)
% 1.39/0.63 % (7834)Instruction limit reached!
% 1.39/0.63 % (7834)------------------------------
% 1.39/0.63 % (7834)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.39/0.63 % (7834)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.39/0.63 % (7834)Termination reason: Time limit
% 1.39/0.63 % (7834)Termination phase: Saturation
% 1.39/0.63
% 1.39/0.63 % (7834)Memory used [KB]: 4886
% 1.39/0.63 % (7834)Time elapsed: 0.132 s
% 1.39/0.63 % (7834)Instructions burned: 406 (million)
% 1.99/0.65 Finite Model Found!
% 1.99/0.65 % SZS status CounterSatisfiable for theBenchmark
% 1.99/0.65 % (7829)First to succeed.
% 1.99/0.65 % (7829)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7826"
% 1.99/0.65 % (7826)Running in auto input_syntax mode. Trying TPTP
% 1.99/0.65 % SZS output start FiniteModel for theBenchmark
% See solution above
% 1.99/0.65 % (7829)------------------------------
% 1.99/0.65 % (7829)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.99/0.65 % (7829)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.99/0.65 % (7829)Termination reason: Satisfiable
% 1.99/0.65
% 1.99/0.65 % (7829)Memory used [KB]: 2545
% 1.99/0.65 % (7829)Time elapsed: 0.232 s
% 1.99/0.65 % (7829)Instructions burned: 778 (million)
% 1.99/0.65 % (7829)------------------------------
% 1.99/0.65 % (7829)------------------------------
% 1.99/0.65 % (7826)Success in time 0.28 s
%------------------------------------------------------------------------------